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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 740 · 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 17693 divisible by 24?
  2. 2.Is 21460 divisible by 5?
  3. 3.Is 69806 divisible by 11?
  4. 4.Is 7071 divisible by 2?
  5. 5.Is 43395 divisible by 15?
  6. 6.Is 46586 divisible by 10?
  7. 7.Is 28812 divisible by 19?
  8. 8.Is 54140 divisible by 20?
  9. 9.Is 6844 divisible by 4?
  10. 10.Is 880 divisible by 10?
  11. 11.Is 27888 divisible by 5?
  12. 12.Is 151716 divisible by 30?
  13. 13.Is 41203 divisible by 20?
  14. 14.Is 9900 divisible by 30?
  15. 15.Is 123747 divisible by 30?
  16. 16.Is 2881 divisible by 5?
  17. 17.Is 1451 divisible by 6?
  18. 18.Is 10207 divisible by 3?
  19. 19.Is 44100 divisible by 30?
  20. 20.Is 11688 divisible by 12?
  21. 21.Is 31542 divisible by 7?
  22. 22.Is 10614 divisible by 29?
  23. 23.Is 74772 divisible by 18?
  24. 24.Is 2016 divisible by 8?
  25. 25.Is 38808 divisible by 6?
  26. 26.Is 59729 divisible by 9?
  27. 27.Is 32814 divisible by 18?
  28. 28.Is 76548 divisible by 24?
  29. 29.Is 955 divisible by 5?
  30. 30.Is 6482 divisible by 4?
  31. 31.Is 78532 divisible by 29?
  32. 32.Is 16861 divisible by 5?
  33. 33.Is 130789 divisible by 29?
  34. 34.Is 19540 divisible by 4?
  35. 35.Is 105261 divisible by 18?
  36. 36.Is 46952 divisible by 24?
  37. 37.Is 39639 divisible by 8?
  38. 38.Is 3520 divisible by 2?
  39. 39.Is 169774 divisible by 29?
  40. 40.Is 12271 divisible by 2?

Answer key

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

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