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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 783 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 123577 divisible by 20?
  2. 2.Is 27591 divisible by 17?
  3. 3.Is 1499 divisible by 6?
  4. 4.Is 18319 divisible by 9?
  5. 5.Is 24030 divisible by 5?
  6. 6.Is 31790 divisible by 11?
  7. 7.Is 99308 divisible by 19?
  8. 8.Is 1878 divisible by 2?
  9. 9.Is 9466 divisible by 2?
  10. 10.Is 82680 divisible by 20?
  11. 11.Is 158010 divisible by 30?
  12. 12.Is 10980 divisible by 4?
  13. 13.Is 79366 divisible by 19?
  14. 14.Is 52807 divisible by 23?
  15. 15.Is 30717 divisible by 9?
  16. 16.Is 8852 divisible by 4?
  17. 17.Is 172625 divisible by 29?
  18. 18.Is 2901 divisible by 4?
  19. 19.Is 44429 divisible by 11?
  20. 20.Is 58885 divisible by 13?
  21. 21.Is 58220 divisible by 20?
  22. 22.Is 11328 divisible by 10?
  23. 23.Is 19605 divisible by 6?
  24. 24.Is 8629 divisible by 5?
  25. 25.Is 17284 divisible by 5?
  26. 26.Is 39951 divisible by 18?
  27. 27.Is 46296 divisible by 8?
  28. 28.Is 12884 divisible by 4?
  29. 29.Is 4942 divisible by 6?
  30. 30.Is 15861 divisible by 12?
  31. 31.Is 1382 divisible by 2?
  32. 32.Is 9294 divisible by 2?
  33. 33.Is 60697 divisible by 29?
  34. 34.Is 50686 divisible by 10?
  35. 35.Is 24939 divisible by 24?
  36. 36.Is 4654 divisible by 13?
  37. 37.Is 207060 divisible by 30?
  38. 38.Is 100886 divisible by 19?
  39. 39.Is 64950 divisible by 15?
  40. 40.Is 26135 divisible by 5?

Answer key

  1. no
  2. yes
  3. no
  4. no
  5. yes
  6. yes
  7. no
  8. yes
  9. yes
  10. yes
  11. yes
  12. yes
  13. no
  14. no
  15. yes
  16. yes
  17. no
  18. no
  19. yes
  20. no
  21. yes
  22. no
  23. no
  24. no
  25. no
  26. no
  27. yes
  28. yes
  29. no
  30. no
  31. yes
  32. yes
  33. yes
  34. no
  35. no
  36. yes
  37. yes
  38. no
  39. yes
  40. yes

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