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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 241 · 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 84267 divisible by 18?
  2. 2.Is 43979 divisible by 13?
  3. 3.Is 25713 divisible by 6?
  4. 4.Is 103447 divisible by 18?
  5. 5.Is 15976 divisible by 3?
  6. 6.Is 3348 divisible by 3?
  7. 7.Is 10560 divisible by 11?
  8. 8.Is 123671 divisible by 23?
  9. 9.Is 7416 divisible by 6?
  10. 10.Is 60491 divisible by 30?
  11. 11.Is 79629 divisible by 19?
  12. 12.Is 4572 divisible by 4?
  13. 13.Is 71093 divisible by 23?
  14. 14.Is 82705 divisible by 18?
  15. 15.Is 2154 divisible by 2?
  16. 16.Is 46570 divisible by 13?
  17. 17.Is 8690 divisible by 17?
  18. 18.Is 126150 divisible by 30?
  19. 19.Is 71161 divisible by 19?
  20. 20.Is 87719 divisible by 18?
  21. 21.Is 49790 divisible by 13?
  22. 22.Is 4696 divisible by 12?
  23. 23.Is 33078 divisible by 8?
  24. 24.Is 23709 divisible by 7?
  25. 25.Is 81198 divisible by 13?
  26. 26.Is 8691 divisible by 4?
  27. 27.Is 75007 divisible by 24?
  28. 28.Is 44640 divisible by 12?
  29. 29.Is 54175 divisible by 18?
  30. 30.Is 99045 divisible by 15?
  31. 31.Is 8958 divisible by 3?
  32. 32.Is 37949 divisible by 11?
  33. 33.Is 10639 divisible by 3?
  34. 34.Is 7656 divisible by 2?
  35. 35.Is 6652 divisible by 4?
  36. 36.Is 156960 divisible by 30?
  37. 37.Is 40239 divisible by 9?
  38. 38.Is 13441 divisible by 7?
  39. 39.Is 10529 divisible by 2?
  40. 40.Is 107580 divisible by 30?

Answer key

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

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