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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 985 · 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 9832 divisible by 8?
  2. 2.Is 88176 divisible by 15?
  3. 3.Is 46811 divisible by 8?
  4. 4.Is 11574 divisible by 9?
  5. 5.Is 15382 divisible by 3?
  6. 6.Is 124512 divisible by 24?
  7. 7.Is 15452 divisible by 17?
  8. 8.Is 51931 divisible by 17?
  9. 9.Is 4347 divisible by 7?
  10. 10.Is 53560 divisible by 8?
  11. 11.Is 62010 divisible by 10?
  12. 12.Is 24410 divisible by 5?
  13. 13.Is 16251 divisible by 6?
  14. 14.Is 15048 divisible by 6?
  15. 15.Is 7414 divisible by 4?
  16. 16.Is 88130 divisible by 18?
  17. 17.Is 67877 divisible by 11?
  18. 18.Is 25165 divisible by 7?
  19. 19.Is 3079 divisible by 20?
  20. 20.Is 12038 divisible by 29?
  21. 21.Is 32274 divisible by 11?
  22. 22.Is 4369 divisible by 2?
  23. 23.Is 38807 divisible by 8?
  24. 24.Is 6840 divisible by 9?
  25. 25.Is 158456 divisible by 30?
  26. 26.Is 28281 divisible by 6?
  27. 27.Is 8634 divisible by 3?
  28. 28.Is 11445 divisible by 6?
  29. 29.Is 8572 divisible by 12?
  30. 30.Is 79176 divisible by 12?
  31. 31.Is 3312 divisible by 12?
  32. 32.Is 30256 divisible by 7?
  33. 33.Is 15556 divisible by 12?
  34. 34.Is 21720 divisible by 20?
  35. 35.Is 26737 divisible by 7?
  36. 36.Is 11044 divisible by 2?
  37. 37.Is 7938 divisible by 8?
  38. 38.Is 8123 divisible by 13?
  39. 39.Is 19865 divisible by 4?
  40. 40.Is 4599 divisible by 5?

Answer key

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

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