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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 11 · 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 56760 divisible by 12?
  2. 2.Is 40245 divisible by 15?
  3. 3.Is 3224 divisible by 15?
  4. 4.Is 59005 divisible by 24?
  5. 5.Is 103085 divisible by 19?
  6. 6.Is 3072 divisible by 3?
  7. 7.Is 5352 divisible by 24?
  8. 8.Is 87257 divisible by 20?
  9. 9.Is 48696 divisible by 24?
  10. 10.Is 40820 divisible by 6?
  11. 11.Is 164966 divisible by 30?
  12. 12.Is 20130 divisible by 3?
  13. 13.Is 109403 divisible by 20?
  14. 14.Is 8232 divisible by 19?
  15. 15.Is 30027 divisible by 5?
  16. 16.Is 1663 divisible by 2?
  17. 17.Is 1513 divisible by 6?
  18. 18.Is 38936 divisible by 17?
  19. 19.Is 25746 divisible by 6?
  20. 20.Is 25591 divisible by 5?
  21. 21.Is 14234 divisible by 7?
  22. 22.Is 27097 divisible by 5?
  23. 23.Is 33109 divisible by 6?
  24. 24.Is 62966 divisible by 19?
  25. 25.Is 2839 divisible by 2?
  26. 26.Is 117888 divisible by 18?
  27. 27.Is 82295 divisible by 19?
  28. 28.Is 18090 divisible by 5?
  29. 29.Is 18842 divisible by 10?
  30. 30.Is 86550 divisible by 17?
  31. 31.Is 40011 divisible by 8?
  32. 32.Is 12111 divisible by 2?
  33. 33.Is 11520 divisible by 6?
  34. 34.Is 15022 divisible by 12?
  35. 35.Is 35100 divisible by 15?
  36. 36.Is 57425 divisible by 13?
  37. 37.Is 8637 divisible by 9?
  38. 38.Is 9475 divisible by 2?
  39. 39.Is 29130 divisible by 30?
  40. 40.Is 2965 divisible by 9?

Answer key

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

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