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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 818 · 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 25470 divisible by 18?
  2. 2.Is 126011 divisible by 24?
  3. 3.Is 130088 divisible by 30?
  4. 4.Is 942 divisible by 11?
  5. 5.Is 60327 divisible by 9?
  6. 6.Is 62210 divisible by 19?
  7. 7.Is 19170 divisible by 15?
  8. 8.Is 5894 divisible by 7?
  9. 9.Is 51300 divisible by 30?
  10. 10.Is 144139 divisible by 23?
  11. 11.Is 52406 divisible by 8?
  12. 12.Is 19190 divisible by 3?
  13. 13.Is 38949 divisible by 12?
  14. 14.Is 94920 divisible by 30?
  15. 15.Is 93043 divisible by 19?
  16. 16.Is 964 divisible by 6?
  17. 17.Is 27107 divisible by 8?
  18. 18.Is 14058 divisible by 7?
  19. 19.Is 60702 divisible by 13?
  20. 20.Is 13552 divisible by 2?
  21. 21.Is 151363 divisible by 23?
  22. 22.Is 6041 divisible by 5?
  23. 23.Is 702 divisible by 2?
  24. 24.Is 39077 divisible by 23?
  25. 25.Is 66352 divisible by 13?
  26. 26.Is 144675 divisible by 23?
  27. 27.Is 22662 divisible by 30?
  28. 28.Is 43560 divisible by 9?
  29. 29.Is 87155 divisible by 15?
  30. 30.Is 58116 divisible by 30?
  31. 31.Is 86530 divisible by 17?
  32. 32.Is 12960 divisible by 20?
  33. 33.Is 41256 divisible by 9?
  34. 34.Is 20528 divisible by 4?
  35. 35.Is 23233 divisible by 7?
  36. 36.Is 153192 divisible by 24?
  37. 37.Is 47187 divisible by 7?
  38. 38.Is 12805 divisible by 15?
  39. 39.Is 3660 divisible by 5?
  40. 40.Is 8695 divisible by 5?

Answer key

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

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