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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 980 · 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 9053 divisible by 12?
  2. 2.Is 22104 divisible by 18?
  3. 3.Is 38838 divisible by 7?
  4. 4.Is 28501 divisible by 5?
  5. 5.Is 89212 divisible by 24?
  6. 6.Is 32918 divisible by 6?
  7. 7.Is 5049 divisible by 9?
  8. 8.Is 12047 divisible by 29?
  9. 9.Is 77128 divisible by 18?
  10. 10.Is 67066 divisible by 18?
  11. 11.Is 14232 divisible by 24?
  12. 12.Is 5838 divisible by 2?
  13. 13.Is 66885 divisible by 12?
  14. 14.Is 8297 divisible by 8?
  15. 15.Is 38097 divisible by 9?
  16. 16.Is 47133 divisible by 23?
  17. 17.Is 44678 divisible by 9?
  18. 18.Is 21472 divisible by 7?
  19. 19.Is 26923 divisible by 13?
  20. 20.Is 85618 divisible by 19?
  21. 21.Is 5752 divisible by 8?
  22. 22.Is 34771 divisible by 29?
  23. 23.Is 18791 divisible by 7?
  24. 24.Is 44488 divisible by 13?
  25. 25.Is 4572 divisible by 3?
  26. 26.Is 15785 divisible by 7?
  27. 27.Is 22603 divisible by 8?
  28. 28.Is 37922 divisible by 10?
  29. 29.Is 62612 divisible by 15?
  30. 30.Is 23678 divisible by 4?
  31. 31.Is 47167 divisible by 24?
  32. 32.Is 6883 divisible by 4?
  33. 33.Is 99820 divisible by 20?
  34. 34.Is 17662 divisible by 3?
  35. 35.Is 7173 divisible by 13?
  36. 36.Is 17010 divisible by 5?
  37. 37.Is 350 divisible by 7?
  38. 38.Is 30192 divisible by 24?
  39. 39.Is 27069 divisible by 7?
  40. 40.Is 31031 divisible by 7?

Answer key

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

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