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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 579 · 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 6101 divisible by 2?
  2. 2.Is 47343 divisible by 24?
  3. 3.Is 20244 divisible by 12?
  4. 4.Is 64863 divisible by 29?
  5. 5.Is 109110 divisible by 24?
  6. 6.Is 63330 divisible by 10?
  7. 7.Is 2377 divisible by 10?
  8. 8.Is 152927 divisible by 23?
  9. 9.Is 104370 divisible by 30?
  10. 10.Is 32630 divisible by 18?
  11. 11.Is 19989 divisible by 11?
  12. 12.Is 35565 divisible by 7?
  13. 13.Is 39263 divisible by 7?
  14. 14.Is 45044 divisible by 19?
  15. 15.Is 13892 divisible by 12?
  16. 16.Is 41762 divisible by 19?
  17. 17.Is 66366 divisible by 10?
  18. 18.Is 102663 divisible by 17?
  19. 19.Is 74921 divisible by 15?
  20. 20.Is 39899 divisible by 6?
  21. 21.Is 1682 divisible by 29?
  22. 22.Is 80220 divisible by 30?
  23. 23.Is 66013 divisible by 17?
  24. 24.Is 10938 divisible by 4?
  25. 25.Is 9456 divisible by 3?
  26. 26.Is 59172 divisible by 19?
  27. 27.Is 33366 divisible by 10?
  28. 28.Is 23365 divisible by 9?
  29. 29.Is 4449 divisible by 2?
  30. 30.Is 38161 divisible by 15?
  31. 31.Is 12202 divisible by 5?
  32. 32.Is 141744 divisible by 24?
  33. 33.Is 188220 divisible by 30?
  34. 34.Is 89953 divisible by 18?
  35. 35.Is 164693 divisible by 24?
  36. 36.Is 28912 divisible by 6?
  37. 37.Is 8452 divisible by 4?
  38. 38.Is 3255 divisible by 7?
  39. 39.Is 75288 divisible by 24?
  40. 40.Is 10619 divisible by 24?

Answer key

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

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