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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 33 · 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 370 divisible by 4?
  2. 2.Is 6520 divisible by 8?
  3. 3.Is 51916 divisible by 9?
  4. 4.Is 6178 divisible by 10?
  5. 5.Is 108384 divisible by 23?
  6. 6.Is 13954 divisible by 2?
  7. 7.Is 23167 divisible by 5?
  8. 8.Is 79539 divisible by 23?
  9. 9.Is 1797 divisible by 4?
  10. 10.Is 12341 divisible by 29?
  11. 11.Is 19771 divisible by 6?
  12. 12.Is 48216 divisible by 24?
  13. 13.Is 4060 divisible by 7?
  14. 14.Is 90423 divisible by 17?
  15. 15.Is 132835 divisible by 30?
  16. 16.Is 106343 divisible by 19?
  17. 17.Is 69852 divisible by 12?
  18. 18.Is 11800 divisible by 8?
  19. 19.Is 8742 divisible by 2?
  20. 20.Is 134596 divisible by 23?
  21. 21.Is 11176 divisible by 11?
  22. 22.Is 16973 divisible by 7?
  23. 23.Is 25208 divisible by 8?
  24. 24.Is 160080 divisible by 24?
  25. 25.Is 49787 divisible by 11?
  26. 26.Is 19008 divisible by 17?
  27. 27.Is 26744 divisible by 6?
  28. 28.Is 13343 divisible by 3?
  29. 29.Is 55889 divisible by 8?
  30. 30.Is 77319 divisible by 17?
  31. 31.Is 10035 divisible by 7?
  32. 32.Is 62820 divisible by 15?
  33. 33.Is 38695 divisible by 6?
  34. 34.Is 8257 divisible by 2?
  35. 35.Is 5131 divisible by 7?
  36. 36.Is 65971 divisible by 20?
  37. 37.Is 55458 divisible by 18?
  38. 38.Is 46549 divisible by 9?
  39. 39.Is 14769 divisible by 3?
  40. 40.Is 48546 divisible by 29?

Answer key

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

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