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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 79 · 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 38090 divisible by 6?
  2. 2.Is 113362 divisible by 19?
  3. 3.Is 49478 divisible by 13?
  4. 4.Is 13021 divisible by 29?
  5. 5.Is 114623 divisible by 24?
  6. 6.Is 74306 divisible by 12?
  7. 7.Is 39835 divisible by 7?
  8. 8.Is 23018 divisible by 17?
  9. 9.Is 12752 divisible by 3?
  10. 10.Is 2607 divisible by 11?
  11. 11.Is 16172 divisible by 13?
  12. 12.Is 66075 divisible by 15?
  13. 13.Is 45480 divisible by 20?
  14. 14.Is 20538 divisible by 5?
  15. 15.Is 26833 divisible by 9?
  16. 16.Is 6705 divisible by 5?
  17. 17.Is 19536 divisible by 9?
  18. 18.Is 71520 divisible by 15?
  19. 19.Is 17152 divisible by 6?
  20. 20.Is 19744 divisible by 8?
  21. 21.Is 27968 divisible by 23?
  22. 22.Is 70525 divisible by 13?
  23. 23.Is 35792 divisible by 8?
  24. 24.Is 54735 divisible by 10?
  25. 25.Is 41093 divisible by 10?
  26. 26.Is 34503 divisible by 19?
  27. 27.Is 15109 divisible by 9?
  28. 28.Is 115380 divisible by 18?
  29. 29.Is 110419 divisible by 29?
  30. 30.Is 66270 divisible by 17?
  31. 31.Is 8217 divisible by 2?
  32. 32.Is 19768 divisible by 10?
  33. 33.Is 1834 divisible by 29?
  34. 34.Is 480 divisible by 5?
  35. 35.Is 99480 divisible by 24?
  36. 36.Is 42407 divisible by 7?
  37. 37.Is 10322 divisible by 13?
  38. 38.Is 46964 divisible by 18?
  39. 39.Is 17808 divisible by 24?
  40. 40.Is 292 divisible by 12?

Answer key

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

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