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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 4 · 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 86269 divisible by 13?
  2. 2.Is 25860 divisible by 10?
  3. 3.Is 20218 divisible by 18?
  4. 4.Is 13100 divisible by 6?
  5. 5.Is 25772 divisible by 4?
  6. 6.Is 7544 divisible by 2?
  7. 7.Is 44184 divisible by 8?
  8. 8.Is 67774 divisible by 11?
  9. 9.Is 124063 divisible by 18?
  10. 10.Is 4018 divisible by 7?
  11. 11.Is 121334 divisible by 19?
  12. 12.Is 7444 divisible by 3?
  13. 13.Is 3379 divisible by 4?
  14. 14.Is 39104 divisible by 8?
  15. 15.Is 29957 divisible by 29?
  16. 16.Is 13044 divisible by 12?
  17. 17.Is 12105 divisible by 2?
  18. 18.Is 49632 divisible by 12?
  19. 19.Is 34102 divisible by 9?
  20. 20.Is 40865 divisible by 10?
  21. 21.Is 1602 divisible by 2?
  22. 22.Is 6606 divisible by 13?
  23. 23.Is 15578 divisible by 5?
  24. 24.Is 12360 divisible by 11?
  25. 25.Is 12912 divisible by 3?
  26. 26.Is 162922 divisible by 29?
  27. 27.Is 20661 divisible by 3?
  28. 28.Is 67693 divisible by 11?
  29. 29.Is 12923 divisible by 3?
  30. 30.Is 83891 divisible by 30?
  31. 31.Is 73720 divisible by 20?
  32. 32.Is 20026 divisible by 17?
  33. 33.Is 9826 divisible by 17?
  34. 34.Is 44118 divisible by 12?
  35. 35.Is 81484 divisible by 24?
  36. 36.Is 127095 divisible by 19?
  37. 37.Is 12550 divisible by 10?
  38. 38.Is 2700 divisible by 2?
  39. 39.Is 34850 divisible by 19?
  40. 40.Is 3575 divisible by 3?

Answer key

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

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