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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 266 · 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 88328 divisible by 23?
  2. 2.Is 1493 divisible by 4?
  3. 3.Is 97230 divisible by 30?
  4. 4.Is 11853 divisible by 3?
  5. 5.Is 114502 divisible by 18?
  6. 6.Is 22815 divisible by 5?
  7. 7.Is 25002 divisible by 18?
  8. 8.Is 11807 divisible by 5?
  9. 9.Is 136056 divisible by 24?
  10. 10.Is 16665 divisible by 15?
  11. 11.Is 65333 divisible by 20?
  12. 12.Is 24615 divisible by 5?
  13. 13.Is 179278 divisible by 29?
  14. 14.Is 14316 divisible by 3?
  15. 15.Is 26224 divisible by 11?
  16. 16.Is 1179 divisible by 2?
  17. 17.Is 11806 divisible by 8?
  18. 18.Is 159401 divisible by 24?
  19. 19.Is 14768 divisible by 20?
  20. 20.Is 817 divisible by 2?
  21. 21.Is 103445 divisible by 17?
  22. 22.Is 8808 divisible by 4?
  23. 23.Is 179626 divisible by 29?
  24. 24.Is 8479 divisible by 6?
  25. 25.Is 17154 divisible by 19?
  26. 26.Is 101398 divisible by 20?
  27. 27.Is 109920 divisible by 20?
  28. 28.Is 117935 divisible by 24?
  29. 29.Is 127188 divisible by 23?
  30. 30.Is 3009 divisible by 15?
  31. 31.Is 20401 divisible by 23?
  32. 32.Is 7163 divisible by 13?
  33. 33.Is 45264 divisible by 8?
  34. 34.Is 44155 divisible by 7?
  35. 35.Is 45223 divisible by 9?
  36. 36.Is 20166 divisible by 5?
  37. 37.Is 3572 divisible by 4?
  38. 38.Is 1098 divisible by 15?
  39. 39.Is 31125 divisible by 5?
  40. 40.Is 3242 divisible by 12?

Answer key

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

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