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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 65 · 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 25450 divisible by 5?
  2. 2.Is 128269 divisible by 19?
  3. 3.Is 12197 divisible by 5?
  4. 4.Is 4538 divisible by 5?
  5. 5.Is 77685 divisible by 15?
  6. 6.Is 26600 divisible by 4?
  7. 7.Is 10156 divisible by 13?
  8. 8.Is 18563 divisible by 3?
  9. 9.Is 30935 divisible by 5?
  10. 10.Is 44761 divisible by 17?
  11. 11.Is 12716 divisible by 11?
  12. 12.Is 49860 divisible by 12?
  13. 13.Is 11578 divisible by 7?
  14. 14.Is 8088 divisible by 2?
  15. 15.Is 25970 divisible by 10?
  16. 16.Is 42463 divisible by 9?
  17. 17.Is 23130 divisible by 5?
  18. 18.Is 76967 divisible by 11?
  19. 19.Is 52000 divisible by 13?
  20. 20.Is 10332 divisible by 4?
  21. 21.Is 52930 divisible by 10?
  22. 22.Is 82512 divisible by 12?
  23. 23.Is 10128 divisible by 6?
  24. 24.Is 7813 divisible by 2?
  25. 25.Is 15402 divisible by 7?
  26. 26.Is 67860 divisible by 30?
  27. 27.Is 72755 divisible by 11?
  28. 28.Is 79339 divisible by 13?
  29. 29.Is 35175 divisible by 7?
  30. 30.Is 6564 divisible by 2?
  31. 31.Is 82363 divisible by 23?
  32. 32.Is 4702 divisible by 10?
  33. 33.Is 165360 divisible by 24?
  34. 34.Is 99110 divisible by 17?
  35. 35.Is 114536 divisible by 29?
  36. 36.Is 8451 divisible by 2?
  37. 37.Is 16454 divisible by 7?
  38. 38.Is 3344 divisible by 3?
  39. 39.Is 16820 divisible by 17?
  40. 40.Is 6168 divisible by 18?

Answer key

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

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