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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 927 · 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 60922 divisible by 20?
  2. 2.Is 43583 divisible by 20?
  3. 3.Is 141363 divisible by 30?
  4. 4.Is 21686 divisible by 8?
  5. 5.Is 24025 divisible by 13?
  6. 6.Is 21284 divisible by 6?
  7. 7.Is 14252 divisible by 7?
  8. 8.Is 134306 divisible by 20?
  9. 9.Is 50639 divisible by 13?
  10. 10.Is 3164 divisible by 4?
  11. 11.Is 27172 divisible by 4?
  12. 12.Is 155614 divisible by 29?
  13. 13.Is 11080 divisible by 6?
  14. 14.Is 36410 divisible by 8?
  15. 15.Is 26352 divisible by 24?
  16. 16.Is 6939 divisible by 23?
  17. 17.Is 9081 divisible by 11?
  18. 18.Is 8831 divisible by 4?
  19. 19.Is 82116 divisible by 18?
  20. 20.Is 49365 divisible by 15?
  21. 21.Is 43567 divisible by 19?
  22. 22.Is 44253 divisible by 18?
  23. 23.Is 61098 divisible by 13?
  24. 24.Is 10675 divisible by 7?
  25. 25.Is 66765 divisible by 15?
  26. 26.Is 13572 divisible by 6?
  27. 27.Is 21837 divisible by 30?
  28. 28.Is 53978 divisible by 20?
  29. 29.Is 1829 divisible by 2?
  30. 30.Is 6584 divisible by 8?
  31. 31.Is 12103 divisible by 7?
  32. 32.Is 88376 divisible by 20?
  33. 33.Is 37207 divisible by 29?
  34. 34.Is 21315 divisible by 29?
  35. 35.Is 78613 divisible by 19?
  36. 36.Is 32664 divisible by 8?
  37. 37.Is 18753 divisible by 15?
  38. 38.Is 8087 divisible by 11?
  39. 39.Is 59528 divisible by 11?
  40. 40.Is 15139 divisible by 4?

Answer key

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

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