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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 804 · 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 11710 divisible by 6?
  2. 2.Is 4873 divisible by 4?
  3. 3.Is 17904 divisible by 8?
  4. 4.Is 22412 divisible by 8?
  5. 5.Is 34720 divisible by 20?
  6. 6.Is 12930 divisible by 15?
  7. 7.Is 20913 divisible by 7?
  8. 8.Is 60104 divisible by 11?
  9. 9.Is 7241 divisible by 2?
  10. 10.Is 114755 divisible by 30?
  11. 11.Is 17724 divisible by 12?
  12. 12.Is 21390 divisible by 19?
  13. 13.Is 79550 divisible by 23?
  14. 14.Is 43956 divisible by 11?
  15. 15.Is 45408 divisible by 12?
  16. 16.Is 31141 divisible by 6?
  17. 17.Is 18652 divisible by 5?
  18. 18.Is 40664 divisible by 8?
  19. 19.Is 4389 divisible by 7?
  20. 20.Is 2113 divisible by 2?
  21. 21.Is 70072 divisible by 12?
  22. 22.Is 19860 divisible by 4?
  23. 23.Is 51625 divisible by 9?
  24. 24.Is 74130 divisible by 15?
  25. 25.Is 17766 divisible by 4?
  26. 26.Is 138558 divisible by 20?
  27. 27.Is 10844 divisible by 2?
  28. 28.Is 2855 divisible by 2?
  29. 29.Is 2892 divisible by 2?
  30. 30.Is 61341 divisible by 23?
  31. 31.Is 51310 divisible by 9?
  32. 32.Is 55063 divisible by 20?
  33. 33.Is 14840 divisible by 4?
  34. 34.Is 24225 divisible by 30?
  35. 35.Is 34856 divisible by 9?
  36. 36.Is 61538 divisible by 11?
  37. 37.Is 44059 divisible by 8?
  38. 38.Is 27206 divisible by 5?
  39. 39.Is 177051 divisible by 30?
  40. 40.Is 602 divisible by 8?

Answer key

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

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