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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 84 · 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 6741 divisible by 5?
  2. 2.Is 18904 divisible by 19?
  3. 3.Is 33300 divisible by 20?
  4. 4.Is 9051 divisible by 30?
  5. 5.Is 5955 divisible by 11?
  6. 6.Is 26656 divisible by 4?
  7. 7.Is 54172 divisible by 10?
  8. 8.Is 21282 divisible by 6?
  9. 9.Is 2579 divisible by 2?
  10. 10.Is 21577 divisible by 7?
  11. 11.Is 1038 divisible by 8?
  12. 12.Is 7281 divisible by 3?
  13. 13.Is 83079 divisible by 17?
  14. 14.Is 25517 divisible by 19?
  15. 15.Is 71194 divisible by 17?
  16. 16.Is 4880 divisible by 8?
  17. 17.Is 22241 divisible by 30?
  18. 18.Is 26813 divisible by 6?
  19. 19.Is 7413 divisible by 7?
  20. 20.Is 52578 divisible by 23?
  21. 21.Is 38832 divisible by 6?
  22. 22.Is 25281 divisible by 4?
  23. 23.Is 11123 divisible by 12?
  24. 24.Is 16556 divisible by 12?
  25. 25.Is 41625 divisible by 15?
  26. 26.Is 42448 divisible by 8?
  27. 27.Is 99861 divisible by 19?
  28. 28.Is 75480 divisible by 20?
  29. 29.Is 11084 divisible by 2?
  30. 30.Is 40356 divisible by 18?
  31. 31.Is 2841 divisible by 3?
  32. 32.Is 76560 divisible by 17?
  33. 33.Is 6779 divisible by 3?
  34. 34.Is 37544 divisible by 19?
  35. 35.Is 107760 divisible by 24?
  36. 36.Is 12825 divisible by 19?
  37. 37.Is 47592 divisible by 12?
  38. 38.Is 1640 divisible by 10?
  39. 39.Is 5073 divisible by 8?
  40. 40.Is 72123 divisible by 29?

Answer key

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

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