Mike Jacobs

Use 16 different factors of 450 in a 4 by 4 grid. The numbers in the top row add to 20. The numbers in the second row add to 319. The numbers in the third row add to 85. The numbers in the bottom row add to 185. The numbers in the left column add to 155. The numbers in the second column add to 118. The numbers in the third column add to 294. The numbers in the right column add to 42. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 450 to get totals shown in each row/column AND shaded cells contain square numbers.
I will be taking a short break but will be back in 10 days with more puzzles.

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -68. The numbers in the middle row multiply to 30. The numbers in the bottom row multiply to -108. The numbers in the left column multiply to 68. The numbers in the middle column multiply to 120. The numbers in the right column multiply to 27. The sum of the integers in the 2 by 2 square at the top left of the grid is -6.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -6.

Use 9 different factors of 210 in a 3 by 3 grid. The numbers in the top row add to 45. The numbers in the middle row add to 48. The numbers in the bottom row add to 106. The numbers in the left column add to 11. The numbers in the middle column add to 82. The numbers in the right column add to 106.

Start your day with this #yohaku. Fill in cells with 9 different factors of 210 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 216. The numbers in the middle row multiply to 638. The numbers in the bottom row multiply to 28. The numbers in the left column multiply to 87. The numbers in the middle column multiply to 126. The numbers in the right column multiply to 352.

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca
#mathsky #iTeachMath

Use 9 different factors of 224 in a 3 by 3 grid. The numbers in the top row add to 26. The numbers in the middle row add to 51. The numbers in the bottom row add to 90. The numbers in the left column add to 80. The numbers in the middle column add to 74. The numbers in the right column add to 13.

Start your week with this #yohaku. Fill in cells with 9 different factors of 224 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 16 different factors of 648 in a 4 by 4 grid. The numbers in the top row add to 182. The numbers in the second row add to 440. The numbers in the third row add to 117. The numbers in the bottom row add to 23. The numbers in the left column add to 14. The numbers in the second column add to 69. The numbers in the third column add to 471. The numbers in the right column add to 208. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 648 to get totals shown in each row/column AND shaded cells contain square numbers.
#mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 42. The numbers in the middle row multiply to 26. The numbers in the bottom row multiply to 495. The numbers in the left column multiply to 63. The numbers in the middle column multiply to -195. The numbers in the right column multiply to -44. The sum of the integers in the 2 by 2 square at the top left of the grid is 2.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is 2.

Use 9 different factors of 210 in a 3 by 3 grid. The numbers in the top row add to 13. The numbers in the middle row add to 47. The numbers in the bottom row add to 113. The numbers in the left column add to 14. The numbers in the middle column add to 120. The numbers in the right column add to 39.

Start your day with this #yohaku. Fill in cells with 9 different factors of 210 to get totals shown in each row/column.
#mathsky #iTeachMath

Nicely done👍

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 42. The numbers in the middle row multiply to 48. The numbers in the bottom row multiply to 180. The numbers in the left column multiply to 56. The numbers in the middle column multiply to 240. The numbers in the right column multiply to 27.

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca
#mathsky #iTeachMath

Use 9 different factors of 200 in a 3 by 3 grid. The numbers in the top row add to 55. The numbers in the middle row add to 30. The numbers in the bottom row add to 60. The numbers in the left column add to 59. The numbers in the middle column add to 73. The numbers in the right column add to 13.

Start your week with this #yohaku. Fill in cells with 9 different factors of 200 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 16 different factors of 980 in a 4 by 4 grid. The numbers in the top row add to 448. The numbers in the second row add to 242. The numbers in the third row add to 200. The numbers in the bottom row add to 34. The numbers in the left column add to 245. The numbers in the second column add to 444. The numbers in the third column add to 171. The numbers in the right column add to 64. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 980 to get totals shown in each row/column AND shaded cells contain square numbers.
#mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -104. The numbers in the middle row multiply to -90. The numbers in the bottom row multiply to 42. The numbers in the left column multiply to -52. The numbers in the middle column multiply to 280. The numbers in the right column multiply to -27. The sum of the integers in the 2 by 2 square at the top left of the grid is -2.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -2.
#mathsky #iTeachMath

Use 16 different factors of 612 in a 4 by 4 grid. The numbers in the top row add to 39. The numbers in the second row add to 292. The numbers in the third row add to 98. The numbers in the bottom row add to 291. The numbers in the left column add to 108. The numbers in the second column add to 15. The numbers in the third column add to 211. The numbers in the right column add to 386. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 612 to get totals shown in each row/column AND shaded cells contain square numbers.
#mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -45. The numbers in the middle row multiply to 336. The numbers in the bottom row multiply to -44. The numbers in the left column multiply to -210. The numbers in the middle column multiply to 264. The numbers in the right column multiply to -12. The sum of the integers in the 2 by 2 square at the top left of the grid is -3.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -3.

Use 9 different factors of 342 in a 3 by 3 grid. The numbers in the top row add to 57. The numbers in the middle row add to 66. The numbers in the bottom row add to 192. The numbers in the left column add to 192. The numbers in the middle column add to 63. The numbers in the right column add to 60.

Start your day with this #yohaku. Fill in cells with 9 different factors of 342 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 84. The numbers in the middle row multiply to 110. The numbers in the bottom row multiply to 117. The numbers in the left column multiply to 6. The numbers in the middle column multiply to 260. The numbers in the right column multiply to 693.

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca
#mathsky #iTeachMath

How Bees, Beer Cans and Data Solve the Same Packing Problem (Gift Article) Trying to fit it all in? There’s a trick to it, even in 24 dimensions.

Dear #mathsky, if you repost this, it will let people see the article for free. Thanks!

www.nytimes.com/interactive/...

Use 9 different factors of 315 in a 3 by 3 grid. The numbers in the top row add to 143. The numbers in the middle row add to 13. The numbers in the bottom row add to 117. The numbers in the left column add to 143. The numbers in the middle column add to 79. The numbers in the right column add to 51.

Start your week with this #yohaku. Fill in cells with 9 different factors of 315 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 16 different factors of 450 in a 4 by 4 grid. The numbers in the top row add to 188. The numbers in the second row add to 316. The numbers in the third row add to 85. The numbers in the bottom row add to 20. The numbers in the left column add to 175. The numbers in the second column add to 58. The numbers in the third column add to 334. The numbers in the right column add to 42. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 450 to get totals shown in each row/column AND shaded cells contain square numbers.
#mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -63. The numbers in the middle row multiply to -520. The numbers in the bottom row multiply to 20. The numbers in the left column multiply to -90. The numbers in the middle column multiply to 112. The numbers in the right column multiply to -65. The sum of the integers in the 2 by 2 square at the top left of the grid is -1.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -1.
#mathsky #iTeachMath

Use 9 different factors of 140 in a 3 by 3 grid. The numbers in the top row add to 60. The numbers in the middle row add to 16. The numbers in the bottom row add to 36. The numbers in the left column add to 40. The numbers in the middle column add to 58. The numbers in the right column add to 14.

Start your day with this #yohaku. Fill in cells with 9 different factors of 140 to get totals shown in each row/column.

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 84. The numbers in the middle row multiply to 125. The numbers in the bottom row multiply to 444. The numbers in the left column multiply to 74. The numbers in the middle column multiply to 105. The numbers in the right column multiply to 600.

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca
#mathsky #iTeachMath

I’m happy that it was satisfying in the end!

Use 9 different factors of 84 in a 3 by 3 grid. The numbers in the top row add to 77. The numbers in the middle row add to 28. The numbers in the bottom row add to 19. The numbers in the left column add to 36. The numbers in the middle column add to 57. The numbers in the right column add to 31.

Start your day with this #yohaku. Fill in cells with 9 different factors of 84 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 16 different factors of 252 in a 4 by 4 grid. The numbers in the top row add to 319. The numbers in the second row add to 145. The numbers in the third row add to 31. The numbers in the bottom row add to 23. The numbers in the left column add to 103. The numbers in the second column add to 292. The numbers in the third column add to 33. The numbers in the right column add to 90. The central four cells contain square numbers.

Here's a #yohaku to take you into the weekend. Fill in cells with 16 different factors of 252 to get totals shown in each row/column AND shaded cells contain square numbers.
#mathsky #iTeachMath

Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 120. The numbers in the middle row multiply to -245. The numbers in the bottom row multiply to -44. The numbers in the left column multiply to 112. The numbers in the middle column multiply to -231. The numbers in the right column multiply to -50. The sum of the integers in the 2 by 2 square at the top left of the grid is -5.

Try this shady #yohaku. Fill in cells with 9 different integers to get products shown in each row/column AND sum of 4 shaded cells is -5.
#mathsky #iTeachMath

Factor | Definition, Examples, & Facts | Britannica Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and...

These strike me as being prime factors. Every definition of 'factor' that I have seen (e.g. www.britannica.com/science/fact...) states that a factor is a whole number that divides exactly into another whole number.

Use 9 different factors of 204 in a 3 by 3 grid. The numbers in the top row add to 121. The numbers in the middle row add to 52. The numbers in the bottom row add to 109. The numbers in the left column add to 105. The numbers in the middle column add to 71. The numbers in the right column add to 106.

Start your day with this #yohaku. Fill in cells with 9 different factors of 204 to get totals shown in each row/column.
#mathsky #iTeachMath

Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 154. The numbers in the middle row multiply to 216. The numbers in the bottom row multiply to 125. The numbers in the left column multiply to 165. The numbers in the middle column multiply to 450. The numbers in the right column multiply to 56.

Start your day with this #yohaku. Fill in cells with 9 different whole numbers to get products shown in each row/column. More free puzzles and books/ebooks for all ages can be found at yohaku.ca
#mathsky #iTeachMath