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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 722 · 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 94531 divisible by 24?
  2. 2.Is 35643 divisible by 9?
  3. 3.Is 20031 divisible by 17?
  4. 4.Is 56045 divisible by 11?
  5. 5.Is 52422 divisible by 18?
  6. 6.Is 25958 divisible by 12?
  7. 7.Is 10914 divisible by 11?
  8. 8.Is 57798 divisible by 19?
  9. 9.Is 16120 divisible by 20?
  10. 10.Is 2064 divisible by 13?
  11. 11.Is 120954 divisible by 19?
  12. 12.Is 17845 divisible by 13?
  13. 13.Is 102864 divisible by 23?
  14. 14.Is 194701 divisible by 29?
  15. 15.Is 100166 divisible by 30?
  16. 16.Is 47436 divisible by 8?
  17. 17.Is 14190 divisible by 3?
  18. 18.Is 10000 divisible by 10?
  19. 19.Is 497 divisible by 6?
  20. 20.Is 76830 divisible by 15?
  21. 21.Is 11220 divisible by 10?
  22. 22.Is 21335 divisible by 5?
  23. 23.Is 131220 divisible by 20?
  24. 24.Is 16600 divisible by 10?
  25. 25.Is 34162 divisible by 5?
  26. 26.Is 8693 divisible by 3?
  27. 27.Is 5052 divisible by 6?
  28. 28.Is 9008 divisible by 17?
  29. 29.Is 11310 divisible by 4?
  30. 30.Is 30151 divisible by 11?
  31. 31.Is 121635 divisible by 30?
  32. 32.Is 132140 divisible by 20?
  33. 33.Is 18120 divisible by 5?
  34. 34.Is 18375 divisible by 17?
  35. 35.Is 114212 divisible by 24?
  36. 36.Is 62203 divisible by 24?
  37. 37.Is 8843 divisible by 19?
  38. 38.Is 81926 divisible by 23?
  39. 39.Is 16092 divisible by 4?
  40. 40.Is 2577 divisible by 2?

Answer key

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

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