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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 961 · 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 32616 divisible by 9?
  2. 2.Is 10442 divisible by 5?
  3. 3.Is 84330 divisible by 18?
  4. 4.Is 104592 divisible by 24?
  5. 5.Is 7645 divisible by 11?
  6. 6.Is 21812 divisible by 17?
  7. 7.Is 203566 divisible by 30?
  8. 8.Is 83808 divisible by 12?
  9. 9.Is 22976 divisible by 6?
  10. 10.Is 76700 divisible by 11?
  11. 11.Is 22257 divisible by 15?
  12. 12.Is 28072 divisible by 8?
  13. 13.Is 20116 divisible by 19?
  14. 14.Is 49464 divisible by 8?
  15. 15.Is 6992 divisible by 23?
  16. 16.Is 6480 divisible by 3?
  17. 17.Is 60731 divisible by 11?
  18. 18.Is 36531 divisible by 6?
  19. 19.Is 3750 divisible by 3?
  20. 20.Is 33560 divisible by 5?
  21. 21.Is 27987 divisible by 5?
  22. 22.Is 33708 divisible by 8?
  23. 23.Is 21712 divisible by 23?
  24. 24.Is 17296 divisible by 4?
  25. 25.Is 3776 divisible by 23?
  26. 26.Is 51264 divisible by 24?
  27. 27.Is 79935 divisible by 12?
  28. 28.Is 88840 divisible by 20?
  29. 29.Is 68956 divisible by 23?
  30. 30.Is 43048 divisible by 8?
  31. 31.Is 50831 divisible by 24?
  32. 32.Is 44204 divisible by 10?
  33. 33.Is 75904 divisible by 24?
  34. 34.Is 88058 divisible by 17?
  35. 35.Is 63864 divisible by 24?
  36. 36.Is 401 divisible by 2?
  37. 37.Is 2130 divisible by 8?
  38. 38.Is 8977 divisible by 9?
  39. 39.Is 31275 divisible by 12?
  40. 40.Is 1098 divisible by 18?

Answer key

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

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