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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 605 · 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 19260 divisible by 30?
  2. 2.Is 27338 divisible by 4?
  3. 3.Is 995 divisible by 15?
  4. 4.Is 7691 divisible by 2?
  5. 5.Is 41868 divisible by 18?
  6. 6.Is 130398 divisible by 30?
  7. 7.Is 21030 divisible by 5?
  8. 8.Is 15543 divisible by 3?
  9. 9.Is 40199 divisible by 8?
  10. 10.Is 990 divisible by 6?
  11. 11.Is 46970 divisible by 23?
  12. 12.Is 28965 divisible by 5?
  13. 13.Is 16307 divisible by 7?
  14. 14.Is 1010 divisible by 5?
  15. 15.Is 37489 divisible by 24?
  16. 16.Is 4884 divisible by 3?
  17. 17.Is 22547 divisible by 29?
  18. 18.Is 30503 divisible by 6?
  19. 19.Is 13364 divisible by 4?
  20. 20.Is 2640 divisible by 8?
  21. 21.Is 2283 divisible by 7?
  22. 22.Is 103155 divisible by 15?
  23. 23.Is 30427 divisible by 13?
  24. 24.Is 10873 divisible by 9?
  25. 25.Is 87518 divisible by 20?
  26. 26.Is 20897 divisible by 11?
  27. 27.Is 35094 divisible by 6?
  28. 28.Is 3376 divisible by 3?
  29. 29.Is 30248 divisible by 10?
  30. 30.Is 25383 divisible by 5?
  31. 31.Is 157176 divisible by 24?
  32. 32.Is 115264 divisible by 19?
  33. 33.Is 43652 divisible by 9?
  34. 34.Is 13888 divisible by 2?
  35. 35.Is 83523 divisible by 19?
  36. 36.Is 13047 divisible by 3?
  37. 37.Is 24481 divisible by 7?
  38. 38.Is 3121 divisible by 6?
  39. 39.Is 55686 divisible by 18?
  40. 40.Is 12677 divisible by 9?

Answer key

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

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