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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 629 · 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 69156 divisible by 12?
  2. 2.Is 18883 divisible by 7?
  3. 3.Is 124944 divisible by 24?
  4. 4.Is 38898 divisible by 18?
  5. 5.Is 6215 divisible by 4?
  6. 6.Is 32473 divisible by 7?
  7. 7.Is 45881 divisible by 11?
  8. 8.Is 11517 divisible by 20?
  9. 9.Is 21232 divisible by 6?
  10. 10.Is 23976 divisible by 8?
  11. 11.Is 13860 divisible by 6?
  12. 12.Is 13760 divisible by 4?
  13. 13.Is 88857 divisible by 30?
  14. 14.Is 71383 divisible by 17?
  15. 15.Is 37062 divisible by 9?
  16. 16.Is 8117 divisible by 4?
  17. 17.Is 53482 divisible by 10?
  18. 18.Is 10290 divisible by 6?
  19. 19.Is 3863 divisible by 23?
  20. 20.Is 90958 divisible by 18?
  21. 21.Is 169260 divisible by 30?
  22. 22.Is 2615 divisible by 5?
  23. 23.Is 88597 divisible by 19?
  24. 24.Is 10771 divisible by 9?
  25. 25.Is 12123 divisible by 9?
  26. 26.Is 17476 divisible by 4?
  27. 27.Is 16929 divisible by 7?
  28. 28.Is 53091 divisible by 24?
  29. 29.Is 57833 divisible by 11?
  30. 30.Is 34884 divisible by 19?
  31. 31.Is 473 divisible by 2?
  32. 32.Is 95042 divisible by 15?
  33. 33.Is 78020 divisible by 20?
  34. 34.Is 106320 divisible by 24?
  35. 35.Is 104975 divisible by 24?
  36. 36.Is 24666 divisible by 6?
  37. 37.Is 74480 divisible by 19?
  38. 38.Is 35388 divisible by 6?
  39. 39.Is 11770 divisible by 5?
  40. 40.Is 67510 divisible by 10?

Answer key

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

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