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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 865 · 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 22005 divisible by 5?
  2. 2.Is 5984 divisible by 15?
  3. 3.Is 27062 divisible by 13?
  4. 4.Is 41370 divisible by 15?
  5. 5.Is 48104 divisible by 8?
  6. 6.Is 15526 divisible by 6?
  7. 7.Is 65160 divisible by 15?
  8. 8.Is 5276 divisible by 7?
  9. 9.Is 19322 divisible by 3?
  10. 10.Is 16706 divisible by 18?
  11. 11.Is 11823 divisible by 7?
  12. 12.Is 9567 divisible by 4?
  13. 13.Is 59565 divisible by 11?
  14. 14.Is 2238 divisible by 3?
  15. 15.Is 13122 divisible by 3?
  16. 16.Is 38642 divisible by 6?
  17. 17.Is 32987 divisible by 7?
  18. 18.Is 30758 divisible by 7?
  19. 19.Is 15763 divisible by 13?
  20. 20.Is 20964 divisible by 3?
  21. 21.Is 55574 divisible by 11?
  22. 22.Is 51483 divisible by 8?
  23. 23.Is 44566 divisible by 11?
  24. 24.Is 113016 divisible by 17?
  25. 25.Is 600 divisible by 15?
  26. 26.Is 96305 divisible by 29?
  27. 27.Is 12956 divisible by 18?
  28. 28.Is 51855 divisible by 9?
  29. 29.Is 79440 divisible by 30?
  30. 30.Is 15065 divisible by 23?
  31. 31.Is 115903 divisible by 23?
  32. 32.Is 29990 divisible by 5?
  33. 33.Is 56211 divisible by 20?
  34. 34.Is 138888 divisible by 24?
  35. 35.Is 54814 divisible by 19?
  36. 36.Is 8680 divisible by 2?
  37. 37.Is 507 divisible by 6?
  38. 38.Is 15430 divisible by 4?
  39. 39.Is 139421 divisible by 23?
  40. 40.Is 20632 divisible by 15?

Answer key

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

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