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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 962 · 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 41274 divisible by 9?
  2. 2.Is 31163 divisible by 5?
  3. 3.Is 20859 divisible by 17?
  4. 4.Is 15277 divisible by 5?
  5. 5.Is 45066 divisible by 7?
  6. 6.Is 33005 divisible by 8?
  7. 7.Is 18722 divisible by 11?
  8. 8.Is 27486 divisible by 6?
  9. 9.Is 29790 divisible by 13?
  10. 10.Is 39237 divisible by 11?
  11. 11.Is 14168 divisible by 6?
  12. 12.Is 5175 divisible by 2?
  13. 13.Is 50978 divisible by 11?
  14. 14.Is 25349 divisible by 4?
  15. 15.Is 32787 divisible by 20?
  16. 16.Is 176244 divisible by 29?
  17. 17.Is 37690 divisible by 9?
  18. 18.Is 51000 divisible by 30?
  19. 19.Is 3478 divisible by 2?
  20. 20.Is 12780 divisible by 9?
  21. 21.Is 18973 divisible by 3?
  22. 22.Is 80670 divisible by 15?
  23. 23.Is 17970 divisible by 30?
  24. 24.Is 55246 divisible by 15?
  25. 25.Is 103960 divisible by 23?
  26. 26.Is 31888 divisible by 8?
  27. 27.Is 61349 divisible by 10?
  28. 28.Is 10939 divisible by 3?
  29. 29.Is 4194 divisible by 18?
  30. 30.Is 61875 divisible by 9?
  31. 31.Is 40833 divisible by 13?
  32. 32.Is 147107 divisible by 24?
  33. 33.Is 209371 divisible by 30?
  34. 34.Is 33399 divisible by 5?
  35. 35.Is 7720 divisible by 5?
  36. 36.Is 26772 divisible by 5?
  37. 37.Is 59480 divisible by 10?
  38. 38.Is 22257 divisible by 9?
  39. 39.Is 17649 divisible by 3?
  40. 40.Is 18206 divisible by 5?

Answer key

  1. yes
  2. no
  3. yes
  4. no
  5. yes
  6. no
  7. yes
  8. yes
  9. no
  10. yes
  11. no
  12. no
  13. no
  14. no
  15. no
  16. no
  17. no
  18. yes
  19. yes
  20. yes
  21. no
  22. yes
  23. yes
  24. no
  25. yes
  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. no

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