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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 239 · 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 60734 divisible by 30?
  2. 2.Is 11307 divisible by 9?
  3. 3.Is 27519 divisible by 18?
  4. 4.Is 9683 divisible by 2?
  5. 5.Is 34414 divisible by 8?
  6. 6.Is 91260 divisible by 30?
  7. 7.Is 29820 divisible by 15?
  8. 8.Is 119856 divisible by 23?
  9. 9.Is 8565 divisible by 8?
  10. 10.Is 61538 divisible by 29?
  11. 11.Is 29203 divisible by 29?
  12. 12.Is 121380 divisible by 20?
  13. 13.Is 16115 divisible by 5?
  14. 14.Is 5029 divisible by 3?
  15. 15.Is 10927 divisible by 8?
  16. 16.Is 19830 divisible by 10?
  17. 17.Is 62585 divisible by 20?
  18. 18.Is 47472 divisible by 24?
  19. 19.Is 37443 divisible by 7?
  20. 20.Is 25956 divisible by 6?
  21. 21.Is 66841 divisible by 17?
  22. 22.Is 84996 divisible by 18?
  23. 23.Is 47800 divisible by 20?
  24. 24.Is 107544 divisible by 24?
  25. 25.Is 136536 divisible by 30?
  26. 26.Is 30717 divisible by 6?
  27. 27.Is 62549 divisible by 12?
  28. 28.Is 8469 divisible by 5?
  29. 29.Is 9584 divisible by 6?
  30. 30.Is 23574 divisible by 5?
  31. 31.Is 124317 divisible by 19?
  32. 32.Is 66365 divisible by 23?
  33. 33.Is 25006 divisible by 13?
  34. 34.Is 18296 divisible by 4?
  35. 35.Is 186780 divisible by 30?
  36. 36.Is 125515 divisible by 20?
  37. 37.Is 56197 divisible by 9?
  38. 38.Is 25450 divisible by 5?
  39. 39.Is 125084 divisible by 19?
  40. 40.Is 12595 divisible by 5?

Answer key

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

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