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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 583 · 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 43589 divisible by 9?
  2. 2.Is 118558 divisible by 17?
  3. 3.Is 4460 divisible by 3?
  4. 4.Is 73752 divisible by 11?
  5. 5.Is 75356 divisible by 24?
  6. 6.Is 15147 divisible by 17?
  7. 7.Is 19395 divisible by 17?
  8. 8.Is 4320 divisible by 4?
  9. 9.Is 10550 divisible by 5?
  10. 10.Is 207233 divisible by 30?
  11. 11.Is 1815 divisible by 9?
  12. 12.Is 9495 divisible by 5?
  13. 13.Is 25890 divisible by 10?
  14. 14.Is 11400 divisible by 19?
  15. 15.Is 41889 divisible by 6?
  16. 16.Is 223 divisible by 7?
  17. 17.Is 1128 divisible by 13?
  18. 18.Is 25450 divisible by 9?
  19. 19.Is 159696 divisible by 24?
  20. 20.Is 11653 divisible by 24?
  21. 21.Is 16885 divisible by 7?
  22. 22.Is 27947 divisible by 5?
  23. 23.Is 20569 divisible by 3?
  24. 24.Is 920 divisible by 20?
  25. 25.Is 35612 divisible by 29?
  26. 26.Is 12678 divisible by 3?
  27. 27.Is 6376 divisible by 3?
  28. 28.Is 94 divisible by 2?
  29. 29.Is 23484 divisible by 9?
  30. 30.Is 11094 divisible by 6?
  31. 31.Is 1942 divisible by 5?
  32. 32.Is 15552 divisible by 12?
  33. 33.Is 18160 divisible by 4?
  34. 34.Is 57483 divisible by 29?
  35. 35.Is 40776 divisible by 8?
  36. 36.Is 59813 divisible by 13?
  37. 37.Is 10840 divisible by 5?
  38. 38.Is 33248 divisible by 17?
  39. 39.Is 1026 divisible by 6?
  40. 40.Is 52320 divisible by 24?

Answer key

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

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