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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 907 · 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 602 divisible by 7?
  2. 2.Is 396 divisible by 9?
  3. 3.Is 12160 divisible by 15?
  4. 4.Is 6865 divisible by 15?
  5. 5.Is 20447 divisible by 10?
  6. 6.Is 40575 divisible by 15?
  7. 7.Is 31847 divisible by 19?
  8. 8.Is 78010 divisible by 29?
  9. 9.Is 15722 divisible by 7?
  10. 10.Is 104369 divisible by 20?
  11. 11.Is 11802 divisible by 9?
  12. 12.Is 13309 divisible by 3?
  13. 13.Is 196487 divisible by 29?
  14. 14.Is 26710 divisible by 17?
  15. 15.Is 18522 divisible by 6?
  16. 16.Is 49796 divisible by 15?
  17. 17.Is 16583 divisible by 11?
  18. 18.Is 53874 divisible by 18?
  19. 19.Is 63172 divisible by 17?
  20. 20.Is 6256 divisible by 5?
  21. 21.Is 22974 divisible by 6?
  22. 22.Is 28925 divisible by 5?
  23. 23.Is 28848 divisible by 24?
  24. 24.Is 10162 divisible by 2?
  25. 25.Is 21439 divisible by 5?
  26. 26.Is 11365 divisible by 5?
  27. 27.Is 45104 divisible by 8?
  28. 28.Is 32949 divisible by 10?
  29. 29.Is 44628 divisible by 23?
  30. 30.Is 84651 divisible by 29?
  31. 31.Is 102 divisible by 6?
  32. 32.Is 11953 divisible by 2?
  33. 33.Is 10898 divisible by 2?
  34. 34.Is 7291 divisible by 5?
  35. 35.Is 3210 divisible by 3?
  36. 36.Is 16591 divisible by 4?
  37. 37.Is 30148 divisible by 5?
  38. 38.Is 65800 divisible by 20?
  39. 39.Is 39150 divisible by 15?
  40. 40.Is 12133 divisible by 13?

Answer key

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

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