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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 412 · 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 26634 divisible by 6?
  2. 2.Is 29542 divisible by 10?
  3. 3.Is 39742 divisible by 19?
  4. 4.Is 12310 divisible by 10?
  5. 5.Is 98281 divisible by 17?
  6. 6.Is 33001 divisible by 5?
  7. 7.Is 25788 divisible by 7?
  8. 8.Is 4825 divisible by 4?
  9. 9.Is 2723 divisible by 3?
  10. 10.Is 45997 divisible by 15?
  11. 11.Is 63853 divisible by 12?
  12. 12.Is 120042 divisible by 18?
  13. 13.Is 116982 divisible by 18?
  14. 14.Is 5973 divisible by 18?
  15. 15.Is 62201 divisible by 30?
  16. 16.Is 163488 divisible by 24?
  17. 17.Is 60534 divisible by 18?
  18. 18.Is 48 divisible by 2?
  19. 19.Is 3331 divisible by 7?
  20. 20.Is 37227 divisible by 6?
  21. 21.Is 94176 divisible by 18?
  22. 22.Is 41456 divisible by 7?
  23. 23.Is 11489 divisible by 8?
  24. 24.Is 95400 divisible by 24?
  25. 25.Is 11139 divisible by 18?
  26. 26.Is 54434 divisible by 19?
  27. 27.Is 33182 divisible by 10?
  28. 28.Is 23638 divisible by 5?
  29. 29.Is 2206 divisible by 10?
  30. 30.Is 8912 divisible by 4?
  31. 31.Is 7104 divisible by 30?
  32. 32.Is 907 divisible by 10?
  33. 33.Is 181104 divisible by 29?
  34. 34.Is 11073 divisible by 6?
  35. 35.Is 13800 divisible by 30?
  36. 36.Is 14472 divisible by 3?
  37. 37.Is 6235 divisible by 10?
  38. 38.Is 17248 divisible by 7?
  39. 39.Is 83580 divisible by 20?
  40. 40.Is 42308 divisible by 7?

Answer key

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

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