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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 621 · 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 32062 divisible by 17?
  2. 2.Is 2752 divisible by 8?
  3. 3.Is 34050 divisible by 9?
  4. 4.Is 18099 divisible by 3?
  5. 5.Is 10582 divisible by 3?
  6. 6.Is 141076 divisible by 23?
  7. 7.Is 60684 divisible by 12?
  8. 8.Is 9408 divisible by 2?
  9. 9.Is 12960 divisible by 20?
  10. 10.Is 435 divisible by 29?
  11. 11.Is 7997 divisible by 5?
  12. 12.Is 84261 divisible by 15?
  13. 13.Is 2644 divisible by 7?
  14. 14.Is 512 divisible by 5?
  15. 15.Is 11035 divisible by 7?
  16. 16.Is 13570 divisible by 8?
  17. 17.Is 481 divisible by 2?
  18. 18.Is 11236 divisible by 4?
  19. 19.Is 46255 divisible by 29?
  20. 20.Is 69790 divisible by 10?
  21. 21.Is 24176 divisible by 4?
  22. 22.Is 187050 divisible by 30?
  23. 23.Is 96076 divisible by 17?
  24. 24.Is 10034 divisible by 23?
  25. 25.Is 44344 divisible by 23?
  26. 26.Is 98447 divisible by 17?
  27. 27.Is 121500 divisible by 20?
  28. 28.Is 5666 divisible by 2?
  29. 29.Is 17040 divisible by 8?
  30. 30.Is 25605 divisible by 5?
  31. 31.Is 13642 divisible by 19?
  32. 32.Is 77636 divisible by 13?
  33. 33.Is 26026 divisible by 11?
  34. 34.Is 15565 divisible by 4?
  35. 35.Is 1555 divisible by 7?
  36. 36.Is 133805 divisible by 24?
  37. 37.Is 79759 divisible by 20?
  38. 38.Is 137203 divisible by 20?
  39. 39.Is 9872 divisible by 2?
  40. 40.Is 17870 divisible by 10?

Answer key

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

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