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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 336 · 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 63590 divisible by 24?
  2. 2.Is 12258 divisible by 9?
  3. 3.Is 13845 divisible by 2?
  4. 4.Is 26749 divisible by 13?
  5. 5.Is 39580 divisible by 20?
  6. 6.Is 660 divisible by 2?
  7. 7.Is 63061 divisible by 19?
  8. 8.Is 129821 divisible by 24?
  9. 9.Is 17992 divisible by 13?
  10. 10.Is 10297 divisible by 2?
  11. 11.Is 139060 divisible by 20?
  12. 12.Is 32900 divisible by 7?
  13. 13.Is 36732 divisible by 30?
  14. 14.Is 4850 divisible by 4?
  15. 15.Is 10497 divisible by 2?
  16. 16.Is 14347 divisible by 29?
  17. 17.Is 22035 divisible by 5?
  18. 18.Is 167388 divisible by 29?
  19. 19.Is 83614 divisible by 30?
  20. 20.Is 62100 divisible by 18?
  21. 21.Is 21584 divisible by 4?
  22. 22.Is 50464 divisible by 23?
  23. 23.Is 17890 divisible by 10?
  24. 24.Is 79300 divisible by 20?
  25. 25.Is 10953 divisible by 12?
  26. 26.Is 46920 divisible by 20?
  27. 27.Is 10820 divisible by 4?
  28. 28.Is 91379 divisible by 29?
  29. 29.Is 11745 divisible by 3?
  30. 30.Is 79677 divisible by 13?
  31. 31.Is 6102 divisible by 2?
  32. 32.Is 24764 divisible by 4?
  33. 33.Is 11381 divisible by 2?
  34. 34.Is 33208 divisible by 8?
  35. 35.Is 68600 divisible by 11?
  36. 36.Is 65870 divisible by 19?
  37. 37.Is 78648 divisible by 12?
  38. 38.Is 62658 divisible by 10?
  39. 39.Is 115675 divisible by 17?
  40. 40.Is 475 divisible by 3?

Answer key

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

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