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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 531 · 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 59466 divisible by 15?
  2. 2.Is 7130 divisible by 10?
  3. 3.Is 35949 divisible by 15?
  4. 4.Is 49049 divisible by 11?
  5. 5.Is 73169 divisible by 11?
  6. 6.Is 82407 divisible by 13?
  7. 7.Is 85980 divisible by 23?
  8. 8.Is 33748 divisible by 11?
  9. 9.Is 49071 divisible by 10?
  10. 10.Is 64919 divisible by 12?
  11. 11.Is 19997 divisible by 23?
  12. 12.Is 5626 divisible by 2?
  13. 13.Is 9940 divisible by 7?
  14. 14.Is 50504 divisible by 29?
  15. 15.Is 159074 divisible by 24?
  16. 16.Is 60720 divisible by 12?
  17. 17.Is 13216 divisible by 8?
  18. 18.Is 25835 divisible by 12?
  19. 19.Is 35392 divisible by 18?
  20. 20.Is 127034 divisible by 19?
  21. 21.Is 16896 divisible by 12?
  22. 22.Is 30650 divisible by 5?
  23. 23.Is 29405 divisible by 7?
  24. 24.Is 8840 divisible by 10?
  25. 25.Is 36439 divisible by 13?
  26. 26.Is 24371 divisible by 13?
  27. 27.Is 5838 divisible by 6?
  28. 28.Is 96984 divisible by 18?
  29. 29.Is 89640 divisible by 17?
  30. 30.Is 50184 divisible by 11?
  31. 31.Is 41154 divisible by 10?
  32. 32.Is 19139 divisible by 20?
  33. 33.Is 3724 divisible by 6?
  34. 34.Is 23664 divisible by 8?
  35. 35.Is 58918 divisible by 17?
  36. 36.Is 16597 divisible by 3?
  37. 37.Is 53328 divisible by 11?
  38. 38.Is 221 divisible by 2?
  39. 39.Is 2740 divisible by 2?
  40. 40.Is 65120 divisible by 15?

Answer key

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

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