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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 796 · 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 344 divisible by 7?
  2. 2.Is 65742 divisible by 19?
  3. 3.Is 166584 divisible by 24?
  4. 4.Is 53653 divisible by 19?
  5. 5.Is 82401 divisible by 12?
  6. 6.Is 57803 divisible by 13?
  7. 7.Is 77260 divisible by 20?
  8. 8.Is 63824 divisible by 13?
  9. 9.Is 5694 divisible by 5?
  10. 10.Is 53055 divisible by 15?
  11. 11.Is 13078 divisible by 5?
  12. 12.Is 20356 divisible by 12?
  13. 13.Is 61326 divisible by 9?
  14. 14.Is 18920 divisible by 3?
  15. 15.Is 13844 divisible by 2?
  16. 16.Is 48076 divisible by 9?
  17. 17.Is 84012 divisible by 17?
  18. 18.Is 25151 divisible by 5?
  19. 19.Is 2506 divisible by 30?
  20. 20.Is 2279 divisible by 4?
  21. 21.Is 15176 divisible by 7?
  22. 22.Is 5368 divisible by 10?
  23. 23.Is 84605 divisible by 24?
  24. 24.Is 115742 divisible by 30?
  25. 25.Is 37137 divisible by 19?
  26. 26.Is 1309 divisible by 15?
  27. 27.Is 49905 divisible by 15?
  28. 28.Is 6179 divisible by 2?
  29. 29.Is 15560 divisible by 8?
  30. 30.Is 17056 divisible by 3?
  31. 31.Is 31788 divisible by 18?
  32. 32.Is 7886 divisible by 11?
  33. 33.Is 47400 divisible by 30?
  34. 34.Is 4202 divisible by 13?
  35. 35.Is 54950 divisible by 10?
  36. 36.Is 47700 divisible by 9?
  37. 37.Is 45588 divisible by 12?
  38. 38.Is 128383 divisible by 19?
  39. 39.Is 3796 divisible by 13?
  40. 40.Is 4962 divisible by 2?

Answer key

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

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