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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 244 · 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 2670 divisible by 30?
  2. 2.Is 129984 divisible by 24?
  3. 3.Is 38202 divisible by 6?
  4. 4.Is 134460 divisible by 30?
  5. 5.Is 67604 divisible by 12?
  6. 6.Is 6690 divisible by 15?
  7. 7.Is 24087 divisible by 8?
  8. 8.Is 7215 divisible by 3?
  9. 9.Is 44221 divisible by 13?
  10. 10.Is 791 divisible by 2?
  11. 11.Is 135749 divisible by 29?
  12. 12.Is 30152 divisible by 12?
  13. 13.Is 26410 divisible by 5?
  14. 14.Is 305 divisible by 2?
  15. 15.Is 728 divisible by 4?
  16. 16.Is 64617 divisible by 30?
  17. 17.Is 42842 divisible by 9?
  18. 18.Is 34857 divisible by 9?
  19. 19.Is 4576 divisible by 2?
  20. 20.Is 13758 divisible by 6?
  21. 21.Is 92335 divisible by 19?
  22. 22.Is 81753 divisible by 17?
  23. 23.Is 19080 divisible by 20?
  24. 24.Is 7947 divisible by 2?
  25. 25.Is 11766 divisible by 3?
  26. 26.Is 4058 divisible by 2?
  27. 27.Is 7092 divisible by 18?
  28. 28.Is 21632 divisible by 4?
  29. 29.Is 20547 divisible by 5?
  30. 30.Is 119263 divisible by 24?
  31. 31.Is 46009 divisible by 24?
  32. 32.Is 20710 divisible by 10?
  33. 33.Is 96590 divisible by 17?
  34. 34.Is 8149 divisible by 7?
  35. 35.Is 17043 divisible by 13?
  36. 36.Is 124624 divisible by 19?
  37. 37.Is 36721 divisible by 8?
  38. 38.Is 105473 divisible by 29?
  39. 39.Is 73568 divisible by 18?
  40. 40.Is 342 divisible by 19?

Answer key

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

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