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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 725 · 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 22668 divisible by 5?
  2. 2.Is 12510 divisible by 15?
  3. 3.Is 63798 divisible by 17?
  4. 4.Is 88588 divisible by 18?
  5. 5.Is 1788 divisible by 6?
  6. 6.Is 13160 divisible by 20?
  7. 7.Is 15576 divisible by 8?
  8. 8.Is 87571 divisible by 18?
  9. 9.Is 27838 divisible by 8?
  10. 10.Is 34117 divisible by 8?
  11. 11.Is 2280 divisible by 4?
  12. 12.Is 188906 divisible by 29?
  13. 13.Is 43824 divisible by 24?
  14. 14.Is 24621 divisible by 4?
  15. 15.Is 26273 divisible by 18?
  16. 16.Is 149232 divisible by 24?
  17. 17.Is 55119 divisible by 30?
  18. 18.Is 1097 divisible by 8?
  19. 19.Is 156803 divisible by 29?
  20. 20.Is 18865 divisible by 7?
  21. 21.Is 26610 divisible by 18?
  22. 22.Is 92023 divisible by 15?
  23. 23.Is 70972 divisible by 11?
  24. 24.Is 1679 divisible by 2?
  25. 25.Is 10720 divisible by 8?
  26. 26.Is 58747 divisible by 13?
  27. 27.Is 24360 divisible by 6?
  28. 28.Is 31161 divisible by 12?
  29. 29.Is 40593 divisible by 6?
  30. 30.Is 20477 divisible by 13?
  31. 31.Is 14718 divisible by 3?
  32. 32.Is 17048 divisible by 4?
  33. 33.Is 129798 divisible by 29?
  34. 34.Is 24770 divisible by 6?
  35. 35.Is 58937 divisible by 9?
  36. 36.Is 24060 divisible by 15?
  37. 37.Is 7578 divisible by 9?
  38. 38.Is 90973 divisible by 29?
  39. 39.Is 2044 divisible by 17?
  40. 40.Is 55730 divisible by 10?

Answer key

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

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