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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 433 · 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 24529 divisible by 8?
  2. 2.Is 12736 divisible by 8?
  3. 3.Is 14997 divisible by 7?
  4. 4.Is 10809 divisible by 2?
  5. 5.Is 40609 divisible by 13?
  6. 6.Is 19593 divisible by 7?
  7. 7.Is 70775 divisible by 30?
  8. 8.Is 5720 divisible by 13?
  9. 9.Is 1787 divisible by 2?
  10. 10.Is 26499 divisible by 5?
  11. 11.Is 109844 divisible by 18?
  12. 12.Is 9358 divisible by 4?
  13. 13.Is 2718 divisible by 7?
  14. 14.Is 3012 divisible by 23?
  15. 15.Is 71835 divisible by 15?
  16. 16.Is 38679 divisible by 29?
  17. 17.Is 84118 divisible by 20?
  18. 18.Is 3014 divisible by 17?
  19. 19.Is 55466 divisible by 8?
  20. 20.Is 18060 divisible by 5?
  21. 21.Is 79740 divisible by 15?
  22. 22.Is 10551 divisible by 2?
  23. 23.Is 75205 divisible by 13?
  24. 24.Is 36305 divisible by 8?
  25. 25.Is 61209 divisible by 9?
  26. 26.Is 13001 divisible by 13?
  27. 27.Is 5310 divisible by 9?
  28. 28.Is 57774 divisible by 15?
  29. 29.Is 88751 divisible by 13?
  30. 30.Is 11932 divisible by 19?
  31. 31.Is 157605 divisible by 30?
  32. 32.Is 21307 divisible by 11?
  33. 33.Is 92859 divisible by 15?
  34. 34.Is 6536 divisible by 8?
  35. 35.Is 149974 divisible by 29?
  36. 36.Is 86073 divisible by 13?
  37. 37.Is 62413 divisible by 24?
  38. 38.Is 80172 divisible by 13?
  39. 39.Is 33424 divisible by 8?
  40. 40.Is 1936 divisible by 2?

Answer key

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

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