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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 472 · 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 1899 divisible by 11?
  2. 2.Is 4791 divisible by 3?
  3. 3.Is 105846 divisible by 23?
  4. 4.Is 4982 divisible by 2?
  5. 5.Is 28476 divisible by 6?
  6. 6.Is 19929 divisible by 3?
  7. 7.Is 80580 divisible by 15?
  8. 8.Is 22420 divisible by 5?
  9. 9.Is 7420 divisible by 20?
  10. 10.Is 12307 divisible by 5?
  11. 11.Is 13184 divisible by 4?
  12. 12.Is 49819 divisible by 8?
  13. 13.Is 57150 divisible by 9?
  14. 14.Is 45784 divisible by 10?
  15. 15.Is 23560 divisible by 5?
  16. 16.Is 119940 divisible by 20?
  17. 17.Is 41795 divisible by 24?
  18. 18.Is 98913 divisible by 23?
  19. 19.Is 37692 divisible by 6?
  20. 20.Is 153801 divisible by 23?
  21. 21.Is 10304 divisible by 2?
  22. 22.Is 36311 divisible by 20?
  23. 23.Is 8301 divisible by 9?
  24. 24.Is 79584 divisible by 24?
  25. 25.Is 80172 divisible by 12?
  26. 26.Is 46150 divisible by 7?
  27. 27.Is 4214 divisible by 6?
  28. 28.Is 70673 divisible by 15?
  29. 29.Is 32677 divisible by 17?
  30. 30.Is 170389 divisible by 30?
  31. 31.Is 45104 divisible by 8?
  32. 32.Is 3390 divisible by 2?
  33. 33.Is 1703 divisible by 3?
  34. 34.Is 14423 divisible by 23?
  35. 35.Is 108775 divisible by 19?
  36. 36.Is 61698 divisible by 13?
  37. 37.Is 2610 divisible by 10?
  38. 38.Is 6233 divisible by 3?
  39. 39.Is 52320 divisible by 30?
  40. 40.Is 11579 divisible by 11?

Answer key

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

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