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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 920 · 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 15641 divisible by 6?
  2. 2.Is 141048 divisible by 24?
  3. 3.Is 12782 divisible by 7?
  4. 4.Is 12300 divisible by 4?
  5. 5.Is 33966 divisible by 30?
  6. 6.Is 166232 divisible by 30?
  7. 7.Is 13691 divisible by 2?
  8. 8.Is 167867 divisible by 24?
  9. 9.Is 5383 divisible by 10?
  10. 10.Is 25424 divisible by 7?
  11. 11.Is 3681 divisible by 2?
  12. 12.Is 63060 divisible by 10?
  13. 13.Is 2460 divisible by 15?
  14. 14.Is 29472 divisible by 12?
  15. 15.Is 75300 divisible by 15?
  16. 16.Is 10661 divisible by 11?
  17. 17.Is 8872 divisible by 3?
  18. 18.Is 33960 divisible by 20?
  19. 19.Is 68436 divisible by 18?
  20. 20.Is 173109 divisible by 29?
  21. 21.Is 30450 divisible by 5?
  22. 22.Is 4663 divisible by 11?
  23. 23.Is 1938 divisible by 17?
  24. 24.Is 59995 divisible by 13?
  25. 25.Is 33631 divisible by 13?
  26. 26.Is 27930 divisible by 30?
  27. 27.Is 6159 divisible by 11?
  28. 28.Is 12543 divisible by 2?
  29. 29.Is 105868 divisible by 29?
  30. 30.Is 14871 divisible by 5?
  31. 31.Is 4769 divisible by 3?
  32. 32.Is 2065 divisible by 8?
  33. 33.Is 9842 divisible by 7?
  34. 34.Is 22835 divisible by 17?
  35. 35.Is 16162 divisible by 4?
  36. 36.Is 2106 divisible by 18?
  37. 37.Is 9350 divisible by 2?
  38. 38.Is 29595 divisible by 8?
  39. 39.Is 98580 divisible by 30?
  40. 40.Is 37733 divisible by 11?

Answer key

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

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