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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 732 · 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 135067 divisible by 29?
  2. 2.Is 149176 divisible by 29?
  3. 3.Is 11330 divisible by 7?
  4. 4.Is 40866 divisible by 7?
  5. 5.Is 13979 divisible by 23?
  6. 6.Is 24882 divisible by 29?
  7. 7.Is 13609 divisible by 7?
  8. 8.Is 78578 divisible by 15?
  9. 9.Is 180003 divisible by 29?
  10. 10.Is 3560 divisible by 2?
  11. 11.Is 23722 divisible by 29?
  12. 12.Is 11116 divisible by 12?
  13. 13.Is 7429 divisible by 5?
  14. 14.Is 20088 divisible by 12?
  15. 15.Is 22956 divisible by 5?
  16. 16.Is 98785 divisible by 23?
  17. 17.Is 98439 divisible by 19?
  18. 18.Is 39163 divisible by 23?
  19. 19.Is 13898 divisible by 9?
  20. 20.Is 163034 divisible by 30?
  21. 21.Is 9974 divisible by 5?
  22. 22.Is 28183 divisible by 5?
  23. 23.Is 20781 divisible by 12?
  24. 24.Is 14051 divisible by 4?
  25. 25.Is 24882 divisible by 7?
  26. 26.Is 9148 divisible by 8?
  27. 27.Is 60606 divisible by 18?
  28. 28.Is 6803 divisible by 20?
  29. 29.Is 7537 divisible by 10?
  30. 30.Is 32534 divisible by 8?
  31. 31.Is 13349 divisible by 7?
  32. 32.Is 52944 divisible by 8?
  33. 33.Is 201990 divisible by 30?
  34. 34.Is 30127 divisible by 12?
  35. 35.Is 77928 divisible by 17?
  36. 36.Is 22182 divisible by 4?
  37. 37.Is 95168 divisible by 29?
  38. 38.Is 47607 divisible by 19?
  39. 39.Is 62214 divisible by 23?
  40. 40.Is 13824 divisible by 18?

Answer key

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

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