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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 88 · 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 3540 divisible by 4?
  2. 2.Is 72840 divisible by 30?
  3. 3.Is 23702 divisible by 19?
  4. 4.Is 40824 divisible by 8?
  5. 5.Is 399 divisible by 8?
  6. 6.Is 7944 divisible by 8?
  7. 7.Is 14792 divisible by 8?
  8. 8.Is 100254 divisible by 30?
  9. 9.Is 31797 divisible by 9?
  10. 10.Is 24680 divisible by 5?
  11. 11.Is 11466 divisible by 10?
  12. 12.Is 39952 divisible by 8?
  13. 13.Is 14016 divisible by 24?
  14. 14.Is 7106 divisible by 7?
  15. 15.Is 14373 divisible by 18?
  16. 16.Is 54570 divisible by 10?
  17. 17.Is 39668 divisible by 6?
  18. 18.Is 70213 divisible by 13?
  19. 19.Is 46100 divisible by 20?
  20. 20.Is 129680 divisible by 20?
  21. 21.Is 3756 divisible by 6?
  22. 22.Is 26243 divisible by 7?
  23. 23.Is 85459 divisible by 17?
  24. 24.Is 7293 divisible by 11?
  25. 25.Is 40020 divisible by 15?
  26. 26.Is 35437 divisible by 12?
  27. 27.Is 6266 divisible by 13?
  28. 28.Is 1428 divisible by 6?
  29. 29.Is 17066 divisible by 6?
  30. 30.Is 96083 divisible by 19?
  31. 31.Is 27829 divisible by 4?
  32. 32.Is 43221 divisible by 10?
  33. 33.Is 4370 divisible by 5?
  34. 34.Is 20720 divisible by 4?
  35. 35.Is 17429 divisible by 6?
  36. 36.Is 123246 divisible by 19?
  37. 37.Is 1788 divisible by 6?
  38. 38.Is 9290 divisible by 10?
  39. 39.Is 28680 divisible by 6?
  40. 40.Is 8196 divisible by 6?

Answer key

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

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