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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 308 · 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 11228 divisible by 7?
  2. 2.Is 23602 divisible by 5?
  3. 3.Is 10074 divisible by 8?
  4. 4.Is 14007 divisible by 15?
  5. 5.Is 5682 divisible by 8?
  6. 6.Is 1983 divisible by 8?
  7. 7.Is 66760 divisible by 20?
  8. 8.Is 95970 divisible by 15?
  9. 9.Is 67040 divisible by 20?
  10. 10.Is 10448 divisible by 4?
  11. 11.Is 24037 divisible by 4?
  12. 12.Is 21566 divisible by 6?
  13. 13.Is 25777 divisible by 4?
  14. 14.Is 43573 divisible by 12?
  15. 15.Is 23256 divisible by 17?
  16. 16.Is 19543 divisible by 18?
  17. 17.Is 57504 divisible by 12?
  18. 18.Is 25929 divisible by 9?
  19. 19.Is 39908 divisible by 7?
  20. 20.Is 10523 divisible by 17?
  21. 21.Is 17059 divisible by 7?
  22. 22.Is 80300 divisible by 12?
  23. 23.Is 103432 divisible by 17?
  24. 24.Is 91260 divisible by 15?
  25. 25.Is 88462 divisible by 15?
  26. 26.Is 67220 divisible by 20?
  27. 27.Is 10723 divisible by 4?
  28. 28.Is 6617 divisible by 3?
  29. 29.Is 11430 divisible by 15?
  30. 30.Is 38080 divisible by 17?
  31. 31.Is 18370 divisible by 5?
  32. 32.Is 54151 divisible by 19?
  33. 33.Is 19454 divisible by 10?
  34. 34.Is 4782 divisible by 23?
  35. 35.Is 79110 divisible by 30?
  36. 36.Is 16362 divisible by 4?
  37. 37.Is 93432 divisible by 17?
  38. 38.Is 19032 divisible by 8?
  39. 39.Is 127080 divisible by 24?
  40. 40.Is 3585 divisible by 5?

Answer key

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

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