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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 420 · 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 15076 divisible by 4?
  2. 2.Is 71548 divisible by 13?
  3. 3.Is 37978 divisible by 18?
  4. 4.Is 86601 divisible by 23?
  5. 5.Is 12134 divisible by 3?
  6. 6.Is 118463 divisible by 30?
  7. 7.Is 1326 divisible by 17?
  8. 8.Is 67548 divisible by 13?
  9. 9.Is 10043 divisible by 2?
  10. 10.Is 46531 divisible by 19?
  11. 11.Is 15522 divisible by 23?
  12. 12.Is 133197 divisible by 29?
  13. 13.Is 7329 divisible by 7?
  14. 14.Is 14184 divisible by 8?
  15. 15.Is 8041 divisible by 13?
  16. 16.Is 41187 divisible by 11?
  17. 17.Is 16654 divisible by 13?
  18. 18.Is 5355 divisible by 15?
  19. 19.Is 12705 divisible by 2?
  20. 20.Is 106092 divisible by 18?
  21. 21.Is 34154 divisible by 5?
  22. 22.Is 104951 divisible by 20?
  23. 23.Is 41688 divisible by 18?
  24. 24.Is 81005 divisible by 17?
  25. 25.Is 114631 divisible by 17?
  26. 26.Is 143434 divisible by 29?
  27. 27.Is 42640 divisible by 18?
  28. 28.Is 8592 divisible by 4?
  29. 29.Is 40760 divisible by 8?
  30. 30.Is 65784 divisible by 12?
  31. 31.Is 78998 divisible by 24?
  32. 32.Is 7871 divisible by 5?
  33. 33.Is 17173 divisible by 13?
  34. 34.Is 113150 divisible by 24?
  35. 35.Is 98767 divisible by 29?
  36. 36.Is 5571 divisible by 20?
  37. 37.Is 72782 divisible by 13?
  38. 38.Is 8460 divisible by 11?
  39. 39.Is 53180 divisible by 10?
  40. 40.Is 24049 divisible by 12?

Answer key

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

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