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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 956 · 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 72324 divisible by 18?
  2. 2.Is 14248 divisible by 3?
  3. 3.Is 41675 divisible by 9?
  4. 4.Is 5100 divisible by 15?
  5. 5.Is 16893 divisible by 3?
  6. 6.Is 125113 divisible by 18?
  7. 7.Is 8976 divisible by 2?
  8. 8.Is 6170 divisible by 5?
  9. 9.Is 45144 divisible by 24?
  10. 10.Is 38421 divisible by 9?
  11. 11.Is 49084 divisible by 17?
  12. 12.Is 13674 divisible by 10?
  13. 13.Is 47460 divisible by 15?
  14. 14.Is 2103 divisible by 2?
  15. 15.Is 66872 divisible by 13?
  16. 16.Is 40745 divisible by 6?
  17. 17.Is 71520 divisible by 20?
  18. 18.Is 8676 divisible by 9?
  19. 19.Is 2193 divisible by 17?
  20. 20.Is 72754 divisible by 13?
  21. 21.Is 12508 divisible by 2?
  22. 22.Is 49553 divisible by 30?
  23. 23.Is 146993 divisible by 23?
  24. 24.Is 58619 divisible by 13?
  25. 25.Is 62098 divisible by 17?
  26. 26.Is 14670 divisible by 4?
  27. 27.Is 11893 divisible by 7?
  28. 28.Is 33533 divisible by 7?
  29. 29.Is 55547 divisible by 17?
  30. 30.Is 122362 divisible by 30?
  31. 31.Is 11848 divisible by 4?
  32. 32.Is 59500 divisible by 20?
  33. 33.Is 5401 divisible by 11?
  34. 34.Is 32318 divisible by 11?
  35. 35.Is 9457 divisible by 2?
  36. 36.Is 32676 divisible by 7?
  37. 37.Is 10815 divisible by 7?
  38. 38.Is 932 divisible by 4?
  39. 39.Is 27621 divisible by 10?
  40. 40.Is 11137 divisible by 7?

Answer key

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

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