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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 219 · 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 79776 divisible by 18?
  2. 2.Is 37200 divisible by 30?
  3. 3.Is 7847 divisible by 7?
  4. 4.Is 68034 divisible by 29?
  5. 5.Is 16727 divisible by 4?
  6. 6.Is 7520 divisible by 3?
  7. 7.Is 111186 divisible by 18?
  8. 8.Is 9259 divisible by 29?
  9. 9.Is 35583 divisible by 20?
  10. 10.Is 18291 divisible by 3?
  11. 11.Is 25406 divisible by 15?
  12. 12.Is 3862 divisible by 12?
  13. 13.Is 33703 divisible by 5?
  14. 14.Is 54733 divisible by 8?
  15. 15.Is 21142 divisible by 15?
  16. 16.Is 63265 divisible by 12?
  17. 17.Is 4139 divisible by 3?
  18. 18.Is 195587 divisible by 30?
  19. 19.Is 29516 divisible by 10?
  20. 20.Is 4960 divisible by 20?
  21. 21.Is 26535 divisible by 15?
  22. 22.Is 71100 divisible by 13?
  23. 23.Is 19368 divisible by 3?
  24. 24.Is 35342 divisible by 15?
  25. 25.Is 10622 divisible by 29?
  26. 26.Is 19300 divisible by 5?
  27. 27.Is 613 divisible by 13?
  28. 28.Is 52230 divisible by 30?
  29. 29.Is 25909 divisible by 7?
  30. 30.Is 28145 divisible by 13?
  31. 31.Is 1032 divisible by 3?
  32. 32.Is 18378 divisible by 18?
  33. 33.Is 1169 divisible by 13?
  34. 34.Is 54720 divisible by 10?
  35. 35.Is 59971 divisible by 11?
  36. 36.Is 47056 divisible by 8?
  37. 37.Is 40754 divisible by 7?
  38. 38.Is 6132 divisible by 5?
  39. 39.Is 1114 divisible by 2?
  40. 40.Is 26192 divisible by 4?

Answer key

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

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