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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 964 · 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 12412 divisible by 9?
  2. 2.Is 30710 divisible by 10?
  3. 3.Is 60843 divisible by 13?
  4. 4.Is 7800 divisible by 12?
  5. 5.Is 31168 divisible by 8?
  6. 6.Is 156192 divisible by 24?
  7. 7.Is 22625 divisible by 5?
  8. 8.Is 9089 divisible by 18?
  9. 9.Is 18648 divisible by 24?
  10. 10.Is 24705 divisible by 5?
  11. 11.Is 19018 divisible by 15?
  12. 12.Is 3010 divisible by 11?
  13. 13.Is 1218 divisible by 6?
  14. 14.Is 18396 divisible by 18?
  15. 15.Is 39556 divisible by 29?
  16. 16.Is 11100 divisible by 15?
  17. 17.Is 26284 divisible by 4?
  18. 18.Is 113776 divisible by 17?
  19. 19.Is 35507 divisible by 13?
  20. 20.Is 124838 divisible by 19?
  21. 21.Is 9784 divisible by 8?
  22. 22.Is 22920 divisible by 8?
  23. 23.Is 70413 divisible by 20?
  24. 24.Is 17464 divisible by 8?
  25. 25.Is 5681 divisible by 2?
  26. 26.Is 5669 divisible by 5?
  27. 27.Is 77868 divisible by 12?
  28. 28.Is 65515 divisible by 11?
  29. 29.Is 84359 divisible by 13?
  30. 30.Is 64653 divisible by 23?
  31. 31.Is 1430 divisible by 10?
  32. 32.Is 85020 divisible by 29?
  33. 33.Is 3230 divisible by 19?
  34. 34.Is 6110 divisible by 5?
  35. 35.Is 2312 divisible by 4?
  36. 36.Is 42320 divisible by 8?
  37. 37.Is 3449 divisible by 2?
  38. 38.Is 68882 divisible by 10?
  39. 39.Is 94010 divisible by 30?
  40. 40.Is 16240 divisible by 7?

Answer key

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

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