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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 777 · 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 23840 divisible by 20?
  2. 2.Is 50602 divisible by 13?
  3. 3.Is 155239 divisible by 23?
  4. 4.Is 11387 divisible by 5?
  5. 5.Is 22640 divisible by 20?
  6. 6.Is 27154 divisible by 13?
  7. 7.Is 8059 divisible by 7?
  8. 8.Is 47350 divisible by 10?
  9. 9.Is 15941 divisible by 17?
  10. 10.Is 22604 divisible by 10?
  11. 11.Is 24688 divisible by 23?
  12. 12.Is 35791 divisible by 6?
  13. 13.Is 11822 divisible by 8?
  14. 14.Is 69869 divisible by 13?
  15. 15.Is 18929 divisible by 5?
  16. 16.Is 42156 divisible by 9?
  17. 17.Is 51117 divisible by 12?
  18. 18.Is 142477 divisible by 29?
  19. 19.Is 84405 divisible by 15?
  20. 20.Is 17432 divisible by 4?
  21. 21.Is 34992 divisible by 12?
  22. 22.Is 3668 divisible by 3?
  23. 23.Is 576 divisible by 18?
  24. 24.Is 29928 divisible by 6?
  25. 25.Is 58280 divisible by 10?
  26. 26.Is 17565 divisible by 15?
  27. 27.Is 20909 divisible by 29?
  28. 28.Is 28003 divisible by 6?
  29. 29.Is 12068 divisible by 13?
  30. 30.Is 73296 divisible by 24?
  31. 31.Is 10479 divisible by 2?
  32. 32.Is 4580 divisible by 10?
  33. 33.Is 70548 divisible by 30?
  34. 34.Is 1108 divisible by 2?
  35. 35.Is 47784 divisible by 11?
  36. 36.Is 30331 divisible by 7?
  37. 37.Is 15181 divisible by 24?
  38. 38.Is 4102 divisible by 9?
  39. 39.Is 59797 divisible by 11?
  40. 40.Is 22696 divisible by 4?

Answer key

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

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