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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 739 · 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 7159 divisible by 5?
  2. 2.Is 6277 divisible by 2?
  3. 3.Is 40999 divisible by 11?
  4. 4.Is 38950 divisible by 20?
  5. 5.Is 98923 divisible by 23?
  6. 6.Is 6516 divisible by 2?
  7. 7.Is 58720 divisible by 20?
  8. 8.Is 74376 divisible by 24?
  9. 9.Is 2686 divisible by 4?
  10. 10.Is 13156 divisible by 23?
  11. 11.Is 27702 divisible by 18?
  12. 12.Is 111813 divisible by 29?
  13. 13.Is 7737 divisible by 5?
  14. 14.Is 3849 divisible by 15?
  15. 15.Is 7355 divisible by 18?
  16. 16.Is 25233 divisible by 13?
  17. 17.Is 17266 divisible by 12?
  18. 18.Is 122031 divisible by 23?
  19. 19.Is 131493 divisible by 24?
  20. 20.Is 20673 divisible by 3?
  21. 21.Is 116540 divisible by 20?
  22. 22.Is 52228 divisible by 9?
  23. 23.Is 124679 divisible by 20?
  24. 24.Is 27398 divisible by 17?
  25. 25.Is 20222 divisible by 4?
  26. 26.Is 16600 divisible by 4?
  27. 27.Is 37815 divisible by 15?
  28. 28.Is 48541 divisible by 8?
  29. 29.Is 20180 divisible by 4?
  30. 30.Is 127567 divisible by 30?
  31. 31.Is 157980 divisible by 30?
  32. 32.Is 117488 divisible by 17?
  33. 33.Is 6674 divisible by 2?
  34. 34.Is 7956 divisible by 3?
  35. 35.Is 90342 divisible by 18?
  36. 36.Is 29707 divisible by 20?
  37. 37.Is 61191 divisible by 9?
  38. 38.Is 2400 divisible by 3?
  39. 39.Is 32600 divisible by 10?
  40. 40.Is 12975 divisible by 15?

Answer key

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

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