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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 56 · 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 337 divisible by 4?
  2. 2.Is 57717 divisible by 9?
  3. 3.Is 38732 divisible by 19?
  4. 4.Is 74069 divisible by 17?
  5. 5.Is 5620 divisible by 7?
  6. 6.Is 6226 divisible by 11?
  7. 7.Is 2245 divisible by 2?
  8. 8.Is 11247 divisible by 4?
  9. 9.Is 60553 divisible by 10?
  10. 10.Is 133969 divisible by 24?
  11. 11.Is 3811 divisible by 3?
  12. 12.Is 193088 divisible by 30?
  13. 13.Is 13220 divisible by 7?
  14. 14.Is 160047 divisible by 24?
  15. 15.Is 7800 divisible by 19?
  16. 16.Is 57458 divisible by 12?
  17. 17.Is 19265 divisible by 8?
  18. 18.Is 44020 divisible by 10?
  19. 19.Is 26714 divisible by 24?
  20. 20.Is 2945 divisible by 2?
  21. 21.Is 50160 divisible by 10?
  22. 22.Is 1695 divisible by 15?
  23. 23.Is 12324 divisible by 13?
  24. 24.Is 65700 divisible by 15?
  25. 25.Is 32774 divisible by 7?
  26. 26.Is 13072 divisible by 4?
  27. 27.Is 71892 divisible by 11?
  28. 28.Is 10715 divisible by 7?
  29. 29.Is 72762 divisible by 15?
  30. 30.Is 7650 divisible by 15?
  31. 31.Is 109871 divisible by 17?
  32. 32.Is 158826 divisible by 30?
  33. 33.Is 16900 divisible by 15?
  34. 34.Is 58091 divisible by 11?
  35. 35.Is 91853 divisible by 30?
  36. 36.Is 36515 divisible by 13?
  37. 37.Is 18240 divisible by 3?
  38. 38.Is 11963 divisible by 13?
  39. 39.Is 7511 divisible by 29?
  40. 40.Is 4759 divisible by 4?

Answer key

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

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