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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 376 · 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 192159 divisible by 30?
  2. 2.Is 51966 divisible by 18?
  3. 3.Is 45912 divisible by 24?
  4. 4.Is 56680 divisible by 10?
  5. 5.Is 22015 divisible by 17?
  6. 6.Is 4683 divisible by 5?
  7. 7.Is 32413 divisible by 7?
  8. 8.Is 14850 divisible by 4?
  9. 9.Is 25956 divisible by 7?
  10. 10.Is 16119 divisible by 6?
  11. 11.Is 37632 divisible by 9?
  12. 12.Is 24346 divisible by 7?
  13. 13.Is 13137 divisible by 3?
  14. 14.Is 17580 divisible by 20?
  15. 15.Is 60569 divisible by 18?
  16. 16.Is 134626 divisible by 24?
  17. 17.Is 9483 divisible by 12?
  18. 18.Is 10381 divisible by 7?
  19. 19.Is 114768 divisible by 18?
  20. 20.Is 31969 divisible by 7?
  21. 21.Is 13138 divisible by 6?
  22. 22.Is 37689 divisible by 24?
  23. 23.Is 195128 divisible by 29?
  24. 24.Is 196940 divisible by 30?
  25. 25.Is 48654 divisible by 17?
  26. 26.Is 4428 divisible by 9?
  27. 27.Is 1151 divisible by 13?
  28. 28.Is 7007 divisible by 5?
  29. 29.Is 33405 divisible by 17?
  30. 30.Is 10332 divisible by 4?
  31. 31.Is 59604 divisible by 9?
  32. 32.Is 40026 divisible by 6?
  33. 33.Is 46212 divisible by 13?
  34. 34.Is 7553 divisible by 13?
  35. 35.Is 9757 divisible by 11?
  36. 36.Is 103588 divisible by 17?
  37. 37.Is 4872 divisible by 8?
  38. 38.Is 33176 divisible by 29?
  39. 39.Is 70125 divisible by 11?
  40. 40.Is 5522 divisible by 2?

Answer key

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

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