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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 118 · 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 37541 divisible by 7?
  2. 2.Is 90297 divisible by 18?
  3. 3.Is 5698 divisible by 2?
  4. 4.Is 8691 divisible by 15?
  5. 5.Is 6184 divisible by 4?
  6. 6.Is 3404 divisible by 15?
  7. 7.Is 17484 divisible by 12?
  8. 8.Is 41136 divisible by 24?
  9. 9.Is 42456 divisible by 13?
  10. 10.Is 11243 divisible by 4?
  11. 11.Is 9647 divisible by 5?
  12. 12.Is 7392 divisible by 2?
  13. 13.Is 11024 divisible by 2?
  14. 14.Is 95882 divisible by 30?
  15. 15.Is 109723 divisible by 24?
  16. 16.Is 7539 divisible by 2?
  17. 17.Is 79521 divisible by 13?
  18. 18.Is 23724 divisible by 9?
  19. 19.Is 1200 divisible by 30?
  20. 20.Is 29061 divisible by 18?
  21. 21.Is 115371 divisible by 20?
  22. 22.Is 143000 divisible by 23?
  23. 23.Is 11262 divisible by 5?
  24. 24.Is 100853 divisible by 19?
  25. 25.Is 9049 divisible by 5?
  26. 26.Is 134584 divisible by 24?
  27. 27.Is 7056 divisible by 2?
  28. 28.Is 37040 divisible by 20?
  29. 29.Is 3236 divisible by 5?
  30. 30.Is 15131 divisible by 9?
  31. 31.Is 32500 divisible by 30?
  32. 32.Is 9340 divisible by 4?
  33. 33.Is 609 divisible by 10?
  34. 34.Is 8200 divisible by 20?
  35. 35.Is 49382 divisible by 11?
  36. 36.Is 39411 divisible by 9?
  37. 37.Is 22561 divisible by 10?
  38. 38.Is 34645 divisible by 6?
  39. 39.Is 49745 divisible by 9?
  40. 40.Is 18722 divisible by 23?

Answer key

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

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