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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 547 · 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 17544 divisible by 6?
  2. 2.Is 39693 divisible by 17?
  3. 3.Is 16704 divisible by 12?
  4. 4.Is 4972 divisible by 3?
  5. 5.Is 11970 divisible by 2?
  6. 6.Is 30262 divisible by 17?
  7. 7.Is 2023 divisible by 17?
  8. 8.Is 33413 divisible by 5?
  9. 9.Is 69282 divisible by 18?
  10. 10.Is 81740 divisible by 20?
  11. 11.Is 57290 divisible by 9?
  12. 12.Is 9644 divisible by 2?
  13. 13.Is 24781 divisible by 8?
  14. 14.Is 20400 divisible by 30?
  15. 15.Is 178020 divisible by 30?
  16. 16.Is 164264 divisible by 24?
  17. 17.Is 63393 divisible by 12?
  18. 18.Is 3120 divisible by 7?
  19. 19.Is 18996 divisible by 6?
  20. 20.Is 27331 divisible by 5?
  21. 21.Is 17255 divisible by 17?
  22. 22.Is 4212 divisible by 6?
  23. 23.Is 1001 divisible by 7?
  24. 24.Is 62218 divisible by 13?
  25. 25.Is 207438 divisible by 30?
  26. 26.Is 6023 divisible by 8?
  27. 27.Is 885 divisible by 5?
  28. 28.Is 37662 divisible by 9?
  29. 29.Is 5392 divisible by 2?
  30. 30.Is 20476 divisible by 8?
  31. 31.Is 15748 divisible by 7?
  32. 32.Is 8026 divisible by 4?
  33. 33.Is 25097 divisible by 5?
  34. 34.Is 55520 divisible by 11?
  35. 35.Is 90450 divisible by 30?
  36. 36.Is 24613 divisible by 20?
  37. 37.Is 27675 divisible by 5?
  38. 38.Is 15174 divisible by 13?
  39. 39.Is 28181 divisible by 6?
  40. 40.Is 4619 divisible by 2?

Answer key

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

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