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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 495 · 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 51513 divisible by 11?
  2. 2.Is 16579 divisible by 5?
  3. 3.Is 11114 divisible by 4?
  4. 4.Is 12537 divisible by 7?
  5. 5.Is 5816 divisible by 3?
  6. 6.Is 30576 divisible by 7?
  7. 7.Is 158583 divisible by 30?
  8. 8.Is 9232 divisible by 8?
  9. 9.Is 33992 divisible by 7?
  10. 10.Is 26241 divisible by 5?
  11. 11.Is 39047 divisible by 19?
  12. 12.Is 54608 divisible by 8?
  13. 13.Is 24100 divisible by 20?
  14. 14.Is 6756 divisible by 10?
  15. 15.Is 41634 divisible by 18?
  16. 16.Is 16435 divisible by 11?
  17. 17.Is 35922 divisible by 6?
  18. 18.Is 12927 divisible by 2?
  19. 19.Is 3815 divisible by 2?
  20. 20.Is 46194 divisible by 12?
  21. 21.Is 12312 divisible by 11?
  22. 22.Is 34066 divisible by 12?
  23. 23.Is 19173 divisible by 3?
  24. 24.Is 50448 divisible by 15?
  25. 25.Is 25789 divisible by 6?
  26. 26.Is 26014 divisible by 4?
  27. 27.Is 16920 divisible by 5?
  28. 28.Is 41370 divisible by 15?
  29. 29.Is 154470 divisible by 30?
  30. 30.Is 40006 divisible by 30?
  31. 31.Is 142380 divisible by 30?
  32. 32.Is 17331 divisible by 3?
  33. 33.Is 19591 divisible by 6?
  34. 34.Is 57570 divisible by 13?
  35. 35.Is 33855 divisible by 12?
  36. 36.Is 3757 divisible by 2?
  37. 37.Is 65956 divisible by 24?
  38. 38.Is 46433 divisible by 9?
  39. 39.Is 14935 divisible by 5?
  40. 40.Is 74792 divisible by 13?

Answer key

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

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