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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 992 · 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 20246 divisible by 5?
  2. 2.Is 12632 divisible by 4?
  3. 3.Is 193464 divisible by 30?
  4. 4.Is 62092 divisible by 24?
  5. 5.Is 137040 divisible by 24?
  6. 6.Is 41750 divisible by 6?
  7. 7.Is 4796 divisible by 4?
  8. 8.Is 130150 divisible by 19?
  9. 9.Is 4565 divisible by 2?
  10. 10.Is 26611 divisible by 5?
  11. 11.Is 1848 divisible by 7?
  12. 12.Is 958 divisible by 2?
  13. 13.Is 65868 divisible by 12?
  14. 14.Is 7224 divisible by 6?
  15. 15.Is 19442 divisible by 5?
  16. 16.Is 10943 divisible by 5?
  17. 17.Is 53088 divisible by 20?
  18. 18.Is 14120 divisible by 5?
  19. 19.Is 10092 divisible by 5?
  20. 20.Is 32772 divisible by 11?
  21. 21.Is 13687 divisible by 2?
  22. 22.Is 73056 divisible by 12?
  23. 23.Is 101790 divisible by 18?
  24. 24.Is 18745 divisible by 5?
  25. 25.Is 93366 divisible by 18?
  26. 26.Is 13832 divisible by 2?
  27. 27.Is 52720 divisible by 20?
  28. 28.Is 87205 divisible by 13?
  29. 29.Is 1285 divisible by 8?
  30. 30.Is 13838 divisible by 17?
  31. 31.Is 41292 divisible by 6?
  32. 32.Is 8143 divisible by 10?
  33. 33.Is 7849 divisible by 4?
  34. 34.Is 88782 divisible by 13?
  35. 35.Is 97935 divisible by 17?
  36. 36.Is 45466 divisible by 13?
  37. 37.Is 6550 divisible by 13?
  38. 38.Is 2026 divisible by 3?
  39. 39.Is 141900 divisible by 30?
  40. 40.Is 14168 divisible by 8?

Answer key

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

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