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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 429 · 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 3240 divisible by 24?
  2. 2.Is 202721 divisible by 30?
  3. 3.Is 556 divisible by 2?
  4. 4.Is 26592 divisible by 4?
  5. 5.Is 192821 divisible by 29?
  6. 6.Is 50711 divisible by 17?
  7. 7.Is 76590 divisible by 18?
  8. 8.Is 4904 divisible by 11?
  9. 9.Is 31050 divisible by 15?
  10. 10.Is 27583 divisible by 10?
  11. 11.Is 29088 divisible by 24?
  12. 12.Is 45360 divisible by 8?
  13. 13.Is 94532 divisible by 15?
  14. 14.Is 22402 divisible by 19?
  15. 15.Is 46485 divisible by 8?
  16. 16.Is 25304 divisible by 20?
  17. 17.Is 37037 divisible by 9?
  18. 18.Is 138371 divisible by 23?
  19. 19.Is 17010 divisible by 6?
  20. 20.Is 9909 divisible by 13?
  21. 21.Is 162842 divisible by 29?
  22. 22.Is 14316 divisible by 3?
  23. 23.Is 7016 divisible by 8?
  24. 24.Is 8860 divisible by 6?
  25. 25.Is 22440 divisible by 4?
  26. 26.Is 69054 divisible by 23?
  27. 27.Is 1726 divisible by 2?
  28. 28.Is 16635 divisible by 3?
  29. 29.Is 1600 divisible by 8?
  30. 30.Is 84111 divisible by 23?
  31. 31.Is 34126 divisible by 5?
  32. 32.Is 11856 divisible by 24?
  33. 33.Is 2466 divisible by 3?
  34. 34.Is 128100 divisible by 30?
  35. 35.Is 68248 divisible by 15?
  36. 36.Is 9983 divisible by 6?
  37. 37.Is 15694 divisible by 7?
  38. 38.Is 29376 divisible by 9?
  39. 39.Is 14100 divisible by 12?
  40. 40.Is 3638 divisible by 3?

Answer key

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

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