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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 381 · 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 79620 divisible by 30?
  2. 2.Is 3852 divisible by 18?
  3. 3.Is 23565 divisible by 9?
  4. 4.Is 76740 divisible by 15?
  5. 5.Is 63721 divisible by 18?
  6. 6.Is 16339 divisible by 20?
  7. 7.Is 12296 divisible by 8?
  8. 8.Is 2794 divisible by 3?
  9. 9.Is 101269 divisible by 23?
  10. 10.Is 49000 divisible by 10?
  11. 11.Is 66907 divisible by 23?
  12. 12.Is 51260 divisible by 20?
  13. 13.Is 24678 divisible by 5?
  14. 14.Is 32939 divisible by 30?
  15. 15.Is 24264 divisible by 12?
  16. 16.Is 20803 divisible by 3?
  17. 17.Is 45288 divisible by 10?
  18. 18.Is 81875 divisible by 13?
  19. 19.Is 51584 divisible by 13?
  20. 20.Is 8528 divisible by 4?
  21. 21.Is 79079 divisible by 15?
  22. 22.Is 44550 divisible by 8?
  23. 23.Is 1086 divisible by 6?
  24. 24.Is 146595 divisible by 29?
  25. 25.Is 7596 divisible by 9?
  26. 26.Is 11283 divisible by 10?
  27. 27.Is 95274 divisible by 18?
  28. 28.Is 79511 divisible by 12?
  29. 29.Is 18926 divisible by 10?
  30. 30.Is 14636 divisible by 18?
  31. 31.Is 10508 divisible by 3?
  32. 32.Is 43228 divisible by 23?
  33. 33.Is 32454 divisible by 18?
  34. 34.Is 52110 divisible by 18?
  35. 35.Is 18306 divisible by 9?
  36. 36.Is 2284 divisible by 2?
  37. 37.Is 20369 divisible by 4?
  38. 38.Is 98337 divisible by 24?
  39. 39.Is 44362 divisible by 18?
  40. 40.Is 112989 divisible by 17?

Answer key

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

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