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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 594 · 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 24780 divisible by 5?
  2. 2.Is 67244 divisible by 13?
  3. 3.Is 34279 divisible by 11?
  4. 4.Is 46750 divisible by 8?
  5. 5.Is 2419 divisible by 4?
  6. 6.Is 1980 divisible by 3?
  7. 7.Is 2210 divisible by 2?
  8. 8.Is 75875 divisible by 19?
  9. 9.Is 15769 divisible by 13?
  10. 10.Is 76152 divisible by 19?
  11. 11.Is 2719 divisible by 4?
  12. 12.Is 102442 divisible by 15?
  13. 13.Is 25860 divisible by 5?
  14. 14.Is 10938 divisible by 6?
  15. 15.Is 7857 divisible by 9?
  16. 16.Is 102132 divisible by 18?
  17. 17.Is 17735 divisible by 4?
  18. 18.Is 81379 divisible by 20?
  19. 19.Is 17370 divisible by 3?
  20. 20.Is 32648 divisible by 11?
  21. 21.Is 845 divisible by 2?
  22. 22.Is 30488 divisible by 6?
  23. 23.Is 34904 divisible by 8?
  24. 24.Is 6045 divisible by 18?
  25. 25.Is 8155 divisible by 2?
  26. 26.Is 8691 divisible by 9?
  27. 27.Is 22956 divisible by 4?
  28. 28.Is 51244 divisible by 23?
  29. 29.Is 86496 divisible by 24?
  30. 30.Is 2933 divisible by 6?
  31. 31.Is 30145 divisible by 7?
  32. 32.Is 93580 divisible by 20?
  33. 33.Is 26277 divisible by 19?
  34. 34.Is 10018 divisible by 5?
  35. 35.Is 57108 divisible by 12?
  36. 36.Is 88935 divisible by 15?
  37. 37.Is 49905 divisible by 9?
  38. 38.Is 161327 divisible by 29?
  39. 39.Is 95386 divisible by 17?
  40. 40.Is 40909 divisible by 15?

Answer key

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

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