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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 434 · 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 34120 divisible by 8?
  2. 2.Is 98550 divisible by 15?
  3. 3.Is 16487 divisible by 9?
  4. 4.Is 110460 divisible by 20?
  5. 5.Is 2977 divisible by 2?
  6. 6.Is 32380 divisible by 10?
  7. 7.Is 39180 divisible by 6?
  8. 8.Is 26750 divisible by 5?
  9. 9.Is 28024 divisible by 8?
  10. 10.Is 20244 divisible by 6?
  11. 11.Is 23980 divisible by 20?
  12. 12.Is 4592 divisible by 2?
  13. 13.Is 20858 divisible by 20?
  14. 14.Is 11250 divisible by 6?
  15. 15.Is 5912 divisible by 17?
  16. 16.Is 163473 divisible by 29?
  17. 17.Is 24081 divisible by 23?
  18. 18.Is 16071 divisible by 11?
  19. 19.Is 129076 divisible by 23?
  20. 20.Is 34714 divisible by 6?
  21. 21.Is 54581 divisible by 10?
  22. 22.Is 98110 divisible by 19?
  23. 23.Is 6745 divisible by 9?
  24. 24.Is 14971 divisible by 23?
  25. 25.Is 43600 divisible by 8?
  26. 26.Is 5495 divisible by 5?
  27. 27.Is 912 divisible by 24?
  28. 28.Is 17520 divisible by 20?
  29. 29.Is 41207 divisible by 6?
  30. 30.Is 8512 divisible by 2?
  31. 31.Is 6612 divisible by 13?
  32. 32.Is 5138 divisible by 7?
  33. 33.Is 9533 divisible by 7?
  34. 34.Is 60588 divisible by 11?
  35. 35.Is 109 divisible by 4?
  36. 36.Is 24852 divisible by 6?
  37. 37.Is 8467 divisible by 2?
  38. 38.Is 19228 divisible by 23?
  39. 39.Is 19285 divisible by 19?
  40. 40.Is 4432 divisible by 4?

Answer key

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

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