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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 857 · 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 4252 divisible by 2?
  2. 2.Is 8752 divisible by 2?
  3. 3.Is 174725 divisible by 30?
  4. 4.Is 51226 divisible by 11?
  5. 5.Is 96120 divisible by 24?
  6. 6.Is 22720 divisible by 4?
  7. 7.Is 52475 divisible by 20?
  8. 8.Is 35834 divisible by 23?
  9. 9.Is 112999 divisible by 23?
  10. 10.Is 71496 divisible by 19?
  11. 11.Is 25641 divisible by 9?
  12. 12.Is 49365 divisible by 11?
  13. 13.Is 75517 divisible by 13?
  14. 14.Is 2524 divisible by 4?
  15. 15.Is 61132 divisible by 17?
  16. 16.Is 30487 divisible by 17?
  17. 17.Is 39508 divisible by 8?
  18. 18.Is 11516 divisible by 2?
  19. 19.Is 6806 divisible by 4?
  20. 20.Is 47298 divisible by 10?
  21. 21.Is 5982 divisible by 11?
  22. 22.Is 126 divisible by 7?
  23. 23.Is 14835 divisible by 4?
  24. 24.Is 541 divisible by 2?
  25. 25.Is 8101 divisible by 3?
  26. 26.Is 12480 divisible by 13?
  27. 27.Is 28559 divisible by 5?
  28. 28.Is 107068 divisible by 24?
  29. 29.Is 90248 divisible by 29?
  30. 30.Is 10284 divisible by 3?
  31. 31.Is 30360 divisible by 5?
  32. 32.Is 42516 divisible by 12?
  33. 33.Is 27292 divisible by 8?
  34. 34.Is 37144 divisible by 8?
  35. 35.Is 48183 divisible by 10?
  36. 36.Is 37283 divisible by 23?
  37. 37.Is 101116 divisible by 15?
  38. 38.Is 519 divisible by 18?
  39. 39.Is 6125 divisible by 3?
  40. 40.Is 77940 divisible by 30?

Answer key

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

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