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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 15 · 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 58042 divisible by 10?
  2. 2.Is 6226 divisible by 11?
  3. 3.Is 13256 divisible by 2?
  4. 4.Is 5880 divisible by 12?
  5. 5.Is 20208 divisible by 24?
  6. 6.Is 51096 divisible by 19?
  7. 7.Is 39781 divisible by 7?
  8. 8.Is 4426 divisible by 4?
  9. 9.Is 12170 divisible by 5?
  10. 10.Is 14760 divisible by 30?
  11. 11.Is 23445 divisible by 8?
  12. 12.Is 15625 divisible by 24?
  13. 13.Is 29683 divisible by 6?
  14. 14.Is 23017 divisible by 4?
  15. 15.Is 65916 divisible by 18?
  16. 16.Is 103287 divisible by 20?
  17. 17.Is 10276 divisible by 7?
  18. 18.Is 46300 divisible by 10?
  19. 19.Is 125381 divisible by 19?
  20. 20.Is 68592 divisible by 11?
  21. 21.Is 3352 divisible by 4?
  22. 22.Is 32230 divisible by 5?
  23. 23.Is 28987 divisible by 6?
  24. 24.Is 32120 divisible by 10?
  25. 25.Is 192038 divisible by 29?
  26. 26.Is 24641 divisible by 15?
  27. 27.Is 17288 divisible by 6?
  28. 28.Is 101937 divisible by 29?
  29. 29.Is 27836 divisible by 4?
  30. 30.Is 3576 divisible by 6?
  31. 31.Is 4576 divisible by 13?
  32. 32.Is 135285 divisible by 20?
  33. 33.Is 30471 divisible by 7?
  34. 34.Is 26826 divisible by 17?
  35. 35.Is 34588 divisible by 5?
  36. 36.Is 5093 divisible by 3?
  37. 37.Is 111309 divisible by 19?
  38. 38.Is 33897 divisible by 8?
  39. 39.Is 32810 divisible by 10?
  40. 40.Is 1027 divisible by 13?

Answer key

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

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