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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 488 · 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 62781 divisible by 10?
  2. 2.Is 1936 divisible by 8?
  3. 3.Is 33832 divisible by 8?
  4. 4.Is 76474 divisible by 29?
  5. 5.Is 72220 divisible by 20?
  6. 6.Is 19046 divisible by 10?
  7. 7.Is 34887 divisible by 29?
  8. 8.Is 53274 divisible by 8?
  9. 9.Is 116702 divisible by 23?
  10. 10.Is 8142 divisible by 2?
  11. 11.Is 20973 divisible by 13?
  12. 12.Is 24240 divisible by 6?
  13. 13.Is 27310 divisible by 23?
  14. 14.Is 11704 divisible by 8?
  15. 15.Is 58915 divisible by 11?
  16. 16.Is 18318 divisible by 6?
  17. 17.Is 13719 divisible by 2?
  18. 18.Is 6633 divisible by 13?
  19. 19.Is 173913 divisible by 29?
  20. 20.Is 13840 divisible by 10?
  21. 21.Is 15612 divisible by 3?
  22. 22.Is 37187 divisible by 7?
  23. 23.Is 26649 divisible by 7?
  24. 24.Is 76018 divisible by 19?
  25. 25.Is 18850 divisible by 4?
  26. 26.Is 10175 divisible by 2?
  27. 27.Is 17155 divisible by 17?
  28. 28.Is 77340 divisible by 12?
  29. 29.Is 4080 divisible by 8?
  30. 30.Is 11204 divisible by 4?
  31. 31.Is 8047 divisible by 3?
  32. 32.Is 56565 divisible by 30?
  33. 33.Is 8935 divisible by 2?
  34. 34.Is 50616 divisible by 24?
  35. 35.Is 5537 divisible by 8?
  36. 36.Is 16954 divisible by 8?
  37. 37.Is 34076 divisible by 5?
  38. 38.Is 38506 divisible by 6?
  39. 39.Is 8010 divisible by 30?
  40. 40.Is 18458 divisible by 3?

Answer key

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

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