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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 264 · 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 5371 divisible by 2?
  2. 2.Is 8497 divisible by 29?
  3. 3.Is 119819 divisible by 20?
  4. 4.Is 12009 divisible by 6?
  5. 5.Is 19447 divisible by 6?
  6. 6.Is 47647 divisible by 30?
  7. 7.Is 99590 divisible by 23?
  8. 8.Is 30608 divisible by 7?
  9. 9.Is 33030 divisible by 10?
  10. 10.Is 4303 divisible by 6?
  11. 11.Is 17611 divisible by 17?
  12. 12.Is 11114 divisible by 19?
  13. 13.Is 27508 divisible by 4?
  14. 14.Is 12027 divisible by 19?
  15. 15.Is 6238 divisible by 2?
  16. 16.Is 37631 divisible by 17?
  17. 17.Is 102863 divisible by 18?
  18. 18.Is 31982 divisible by 18?
  19. 19.Is 17444 divisible by 5?
  20. 20.Is 61830 divisible by 9?
  21. 21.Is 1683 divisible by 17?
  22. 22.Is 151467 divisible by 29?
  23. 23.Is 3114 divisible by 18?
  24. 24.Is 611 divisible by 3?
  25. 25.Is 35385 divisible by 12?
  26. 26.Is 49709 divisible by 8?
  27. 27.Is 39992 divisible by 8?
  28. 28.Is 23800 divisible by 5?
  29. 29.Is 80016 divisible by 18?
  30. 30.Is 136689 divisible by 23?
  31. 31.Is 10608 divisible by 15?
  32. 32.Is 9325 divisible by 18?
  33. 33.Is 122669 divisible by 24?
  34. 34.Is 15876 divisible by 4?
  35. 35.Is 70874 divisible by 11?
  36. 36.Is 125939 divisible by 18?
  37. 37.Is 40392 divisible by 18?
  38. 38.Is 119594 divisible by 20?
  39. 39.Is 9126 divisible by 24?
  40. 40.Is 49434 divisible by 20?

Answer key

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

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