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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 100 · 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 68654 divisible by 18?
  2. 2.Is 27084 divisible by 4?
  3. 3.Is 3527 divisible by 2?
  4. 4.Is 1084 divisible by 9?
  5. 5.Is 17470 divisible by 5?
  6. 6.Is 15371 divisible by 12?
  7. 7.Is 60360 divisible by 24?
  8. 8.Is 708 divisible by 6?
  9. 9.Is 9937 divisible by 3?
  10. 10.Is 49606 divisible by 17?
  11. 11.Is 2232 divisible by 4?
  12. 12.Is 1435 divisible by 2?
  13. 13.Is 39344 divisible by 15?
  14. 14.Is 7825 divisible by 4?
  15. 15.Is 26559 divisible by 19?
  16. 16.Is 194610 divisible by 29?
  17. 17.Is 124156 divisible by 19?
  18. 18.Is 88223 divisible by 17?
  19. 19.Is 2034 divisible by 6?
  20. 20.Is 51255 divisible by 17?
  21. 21.Is 14304 divisible by 4?
  22. 22.Is 4808 divisible by 4?
  23. 23.Is 168537 divisible by 29?
  24. 24.Is 61676 divisible by 12?
  25. 25.Is 29681 divisible by 5?
  26. 26.Is 12951 divisible by 2?
  27. 27.Is 24532 divisible by 4?
  28. 28.Is 4905 divisible by 11?
  29. 29.Is 49924 divisible by 12?
  30. 30.Is 112180 divisible by 23?
  31. 31.Is 71983 divisible by 30?
  32. 32.Is 5612 divisible by 23?
  33. 33.Is 104216 divisible by 17?
  34. 34.Is 132540 divisible by 30?
  35. 35.Is 35988 divisible by 6?
  36. 36.Is 3858 divisible by 6?
  37. 37.Is 5168 divisible by 19?
  38. 38.Is 75279 divisible by 23?
  39. 39.Is 628 divisible by 6?
  40. 40.Is 49987 divisible by 11?

Answer key

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

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