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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 785 · 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 93380 divisible by 20?
  2. 2.Is 10341 divisible by 7?
  3. 3.Is 122367 divisible by 30?
  4. 4.Is 34488 divisible by 18?
  5. 5.Is 40662 divisible by 24?
  6. 6.Is 6109 divisible by 2?
  7. 7.Is 76296 divisible by 12?
  8. 8.Is 1136 divisible by 4?
  9. 9.Is 17272 divisible by 4?
  10. 10.Is 27056 divisible by 19?
  11. 11.Is 16335 divisible by 6?
  12. 12.Is 67545 divisible by 19?
  13. 13.Is 30305 divisible by 11?
  14. 14.Is 9425 divisible by 29?
  15. 15.Is 126737 divisible by 24?
  16. 16.Is 57036 divisible by 12?
  17. 17.Is 22676 divisible by 6?
  18. 18.Is 16430 divisible by 10?
  19. 19.Is 45040 divisible by 20?
  20. 20.Is 39030 divisible by 6?
  21. 21.Is 14577 divisible by 4?
  22. 22.Is 62678 divisible by 24?
  23. 23.Is 9669 divisible by 17?
  24. 24.Is 39323 divisible by 8?
  25. 25.Is 13673 divisible by 4?
  26. 26.Is 77129 divisible by 13?
  27. 27.Is 14681 divisible by 5?
  28. 28.Is 106417 divisible by 18?
  29. 29.Is 27602 divisible by 15?
  30. 30.Is 14771 divisible by 15?
  31. 31.Is 23551 divisible by 17?
  32. 32.Is 74324 divisible by 13?
  33. 33.Is 748 divisible by 8?
  34. 34.Is 19100 divisible by 20?
  35. 35.Is 56166 divisible by 23?
  36. 36.Is 64081 divisible by 30?
  37. 37.Is 103225 divisible by 15?
  38. 38.Is 10770 divisible by 30?
  39. 39.Is 8566 divisible by 3?
  40. 40.Is 4621 divisible by 8?

Answer key

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

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