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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 178 · 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 58843 divisible by 13?
  2. 2.Is 40486 divisible by 7?
  3. 3.Is 6793 divisible by 3?
  4. 4.Is 162904 divisible by 24?
  5. 5.Is 23868 divisible by 4?
  6. 6.Is 33411 divisible by 18?
  7. 7.Is 31444 divisible by 5?
  8. 8.Is 62855 divisible by 13?
  9. 9.Is 11072 divisible by 3?
  10. 10.Is 4297 divisible by 24?
  11. 11.Is 59640 divisible by 10?
  12. 12.Is 10143 divisible by 2?
  13. 13.Is 5726 divisible by 7?
  14. 14.Is 29638 divisible by 7?
  15. 15.Is 67611 divisible by 11?
  16. 16.Is 18145 divisible by 7?
  17. 17.Is 196170 divisible by 30?
  18. 18.Is 115287 divisible by 19?
  19. 19.Is 7264 divisible by 6?
  20. 20.Is 161520 divisible by 30?
  21. 21.Is 68665 divisible by 15?
  22. 22.Is 154207 divisible by 29?
  23. 23.Is 879 divisible by 2?
  24. 24.Is 57588 divisible by 9?
  25. 25.Is 63198 divisible by 15?
  26. 26.Is 27096 divisible by 6?
  27. 27.Is 45552 divisible by 8?
  28. 28.Is 31748 divisible by 9?
  29. 29.Is 23606 divisible by 11?
  30. 30.Is 11919 divisible by 3?
  31. 31.Is 65681 divisible by 11?
  32. 32.Is 486 divisible by 7?
  33. 33.Is 4000 divisible by 2?
  34. 34.Is 14436 divisible by 9?
  35. 35.Is 147770 divisible by 24?
  36. 36.Is 18915 divisible by 15?
  37. 37.Is 102178 divisible by 23?
  38. 38.Is 35493 divisible by 10?
  39. 39.Is 21926 divisible by 10?
  40. 40.Is 37780 divisible by 24?

Answer key

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

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