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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 677 · 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 28935 divisible by 5?
  2. 2.Is 69446 divisible by 24?
  3. 3.Is 51270 divisible by 10?
  4. 4.Is 16074 divisible by 3?
  5. 5.Is 55180 divisible by 10?
  6. 6.Is 97527 divisible by 29?
  7. 7.Is 27276 divisible by 7?
  8. 8.Is 100894 divisible by 20?
  9. 9.Is 22400 divisible by 10?
  10. 10.Is 125769 divisible by 23?
  11. 11.Is 22024 divisible by 15?
  12. 12.Is 32571 divisible by 7?
  13. 13.Is 11452 divisible by 3?
  14. 14.Is 22593 divisible by 4?
  15. 15.Is 54081 divisible by 9?
  16. 16.Is 15056 divisible by 4?
  17. 17.Is 1068 divisible by 20?
  18. 18.Is 49014 divisible by 24?
  19. 19.Is 41947 divisible by 6?
  20. 20.Is 92386 divisible by 15?
  21. 21.Is 768 divisible by 4?
  22. 22.Is 87773 divisible by 23?
  23. 23.Is 68965 divisible by 19?
  24. 24.Is 18569 divisible by 5?
  25. 25.Is 81771 divisible by 12?
  26. 26.Is 4561 divisible by 2?
  27. 27.Is 147888 divisible by 24?
  28. 28.Is 17910 divisible by 3?
  29. 29.Is 20245 divisible by 19?
  30. 30.Is 6935 divisible by 6?
  31. 31.Is 33273 divisible by 7?
  32. 32.Is 899 divisible by 2?
  33. 33.Is 176849 divisible by 30?
  34. 34.Is 152053 divisible by 23?
  35. 35.Is 13032 divisible by 3?
  36. 36.Is 4628 divisible by 17?
  37. 37.Is 12915 divisible by 15?
  38. 38.Is 1848 divisible by 24?
  39. 39.Is 15486 divisible by 4?
  40. 40.Is 52422 divisible by 9?

Answer key

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

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