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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 523 · 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 61296 divisible by 24?
  2. 2.Is 6079 divisible by 6?
  3. 3.Is 12175 divisible by 10?
  4. 4.Is 39669 divisible by 6?
  5. 5.Is 11452 divisible by 3?
  6. 6.Is 6760 divisible by 7?
  7. 7.Is 78569 divisible by 29?
  8. 8.Is 23267 divisible by 18?
  9. 9.Is 2638 divisible by 7?
  10. 10.Is 79080 divisible by 20?
  11. 11.Is 11481 divisible by 3?
  12. 12.Is 90319 divisible by 19?
  13. 13.Is 17115 divisible by 15?
  14. 14.Is 771 divisible by 2?
  15. 15.Is 58660 divisible by 20?
  16. 16.Is 30954 divisible by 11?
  17. 17.Is 303 divisible by 2?
  18. 18.Is 21999 divisible by 20?
  19. 19.Is 31514 divisible by 5?
  20. 20.Is 109108 divisible by 17?
  21. 21.Is 107302 divisible by 19?
  22. 22.Is 21461 divisible by 4?
  23. 23.Is 47550 divisible by 30?
  24. 24.Is 22459 divisible by 6?
  25. 25.Is 70362 divisible by 17?
  26. 26.Is 13965 divisible by 15?
  27. 27.Is 126525 divisible by 30?
  28. 28.Is 29172 divisible by 12?
  29. 29.Is 15856 divisible by 18?
  30. 30.Is 184290 divisible by 30?
  31. 31.Is 25697 divisible by 6?
  32. 32.Is 6660 divisible by 30?
  33. 33.Is 2718 divisible by 3?
  34. 34.Is 10804 divisible by 4?
  35. 35.Is 33098 divisible by 5?
  36. 36.Is 74754 divisible by 13?
  37. 37.Is 26963 divisible by 5?
  38. 38.Is 11007 divisible by 6?
  39. 39.Is 123080 divisible by 20?
  40. 40.Is 51501 divisible by 10?

Answer key

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

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