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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 977 · 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 43988 divisible by 7?
  2. 2.Is 37041 divisible by 13?
  3. 3.Is 5850 divisible by 8?
  4. 4.Is 10922 divisible by 6?
  5. 5.Is 19220 divisible by 4?
  6. 6.Is 38524 divisible by 7?
  7. 7.Is 10510 divisible by 2?
  8. 8.Is 40680 divisible by 23?
  9. 9.Is 102493 divisible by 18?
  10. 10.Is 20557 divisible by 8?
  11. 11.Is 11680 divisible by 5?
  12. 12.Is 2655 divisible by 6?
  13. 13.Is 15512 divisible by 3?
  14. 14.Is 41293 divisible by 7?
  15. 15.Is 26960 divisible by 10?
  16. 16.Is 27714 divisible by 5?
  17. 17.Is 50808 divisible by 10?
  18. 18.Is 4400 divisible by 5?
  19. 19.Is 5624 divisible by 19?
  20. 20.Is 14070 divisible by 3?
  21. 21.Is 17489 divisible by 7?
  22. 22.Is 74094 divisible by 18?
  23. 23.Is 4831 divisible by 2?
  24. 24.Is 12210 divisible by 5?
  25. 25.Is 15228 divisible by 18?
  26. 26.Is 11801 divisible by 2?
  27. 27.Is 66976 divisible by 23?
  28. 28.Is 33159 divisible by 13?
  29. 29.Is 71208 divisible by 12?
  30. 30.Is 3105 divisible by 3?
  31. 31.Is 47544 divisible by 8?
  32. 32.Is 62049 divisible by 13?
  33. 33.Is 965 divisible by 7?
  34. 34.Is 30385 divisible by 5?
  35. 35.Is 59448 divisible by 9?
  36. 36.Is 13564 divisible by 4?
  37. 37.Is 113999 divisible by 29?
  38. 38.Is 58910 divisible by 29?
  39. 39.Is 25551 divisible by 17?
  40. 40.Is 33856 divisible by 20?

Answer key

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

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