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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 651 · 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 26002 divisible by 15?
  2. 2.Is 34989 divisible by 6?
  3. 3.Is 26193 divisible by 5?
  4. 4.Is 16416 divisible by 9?
  5. 5.Is 3348 divisible by 17?
  6. 6.Is 13915 divisible by 2?
  7. 7.Is 808 divisible by 30?
  8. 8.Is 74976 divisible by 12?
  9. 9.Is 981 divisible by 2?
  10. 10.Is 55580 divisible by 19?
  11. 11.Is 6961 divisible by 11?
  12. 12.Is 9591 divisible by 23?
  13. 13.Is 66384 divisible by 18?
  14. 14.Is 15366 divisible by 10?
  15. 15.Is 179858 divisible by 29?
  16. 16.Is 1330 divisible by 10?
  17. 17.Is 6526 divisible by 13?
  18. 18.Is 66066 divisible by 13?
  19. 19.Is 20457 divisible by 3?
  20. 20.Is 3282 divisible by 6?
  21. 21.Is 11421 divisible by 3?
  22. 22.Is 95266 divisible by 15?
  23. 23.Is 81498 divisible by 23?
  24. 24.Is 52683 divisible by 17?
  25. 25.Is 94590 divisible by 30?
  26. 26.Is 165336 divisible by 24?
  27. 27.Is 68680 divisible by 20?
  28. 28.Is 22575 divisible by 4?
  29. 29.Is 59418 divisible by 9?
  30. 30.Is 41831 divisible by 30?
  31. 31.Is 47125 divisible by 8?
  32. 32.Is 14780 divisible by 20?
  33. 33.Is 136225 divisible by 24?
  34. 34.Is 153823 divisible by 23?
  35. 35.Is 8505 divisible by 7?
  36. 36.Is 61678 divisible by 11?
  37. 37.Is 14960 divisible by 5?
  38. 38.Is 52368 divisible by 24?
  39. 39.Is 130994 divisible by 23?
  40. 40.Is 3985 divisible by 6?

Answer key

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

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