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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 62 · 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 47904 divisible by 24?
  2. 2.Is 45048 divisible by 8?
  3. 3.Is 9360 divisible by 6?
  4. 4.Is 7059 divisible by 2?
  5. 5.Is 30232 divisible by 17?
  6. 6.Is 2915 divisible by 11?
  7. 7.Is 20563 divisible by 7?
  8. 8.Is 154 divisible by 6?
  9. 9.Is 25632 divisible by 18?
  10. 10.Is 5874 divisible by 11?
  11. 11.Is 11688 divisible by 24?
  12. 12.Is 20558 divisible by 19?
  13. 13.Is 24384 divisible by 24?
  14. 14.Is 45480 divisible by 20?
  15. 15.Is 123035 divisible by 23?
  16. 16.Is 29274 divisible by 7?
  17. 17.Is 39493 divisible by 8?
  18. 18.Is 126092 divisible by 20?
  19. 19.Is 81600 divisible by 20?
  20. 20.Is 59476 divisible by 12?
  21. 21.Is 3272 divisible by 24?
  22. 22.Is 8674 divisible by 2?
  23. 23.Is 74864 divisible by 13?
  24. 24.Is 46323 divisible by 15?
  25. 25.Is 90576 divisible by 17?
  26. 26.Is 48604 divisible by 19?
  27. 27.Is 13843 divisible by 2?
  28. 28.Is 47245 divisible by 8?
  29. 29.Is 107300 divisible by 20?
  30. 30.Is 9000 divisible by 5?
  31. 31.Is 16664 divisible by 4?
  32. 32.Is 67694 divisible by 17?
  33. 33.Is 19148 divisible by 6?
  34. 34.Is 95046 divisible by 23?
  35. 35.Is 11715 divisible by 11?
  36. 36.Is 71740 divisible by 17?
  37. 37.Is 72257 divisible by 19?
  38. 38.Is 104250 divisible by 30?
  39. 39.Is 28116 divisible by 11?
  40. 40.Is 39242 divisible by 29?

Answer key

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

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