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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 679 · 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 32240 divisible by 5?
  2. 2.Is 43584 divisible by 12?
  3. 3.Is 14941 divisible by 6?
  4. 4.Is 2075 divisible by 5?
  5. 5.Is 16830 divisible by 15?
  6. 6.Is 13061 divisible by 2?
  7. 7.Is 18366 divisible by 3?
  8. 8.Is 23418 divisible by 7?
  9. 9.Is 10080 divisible by 4?
  10. 10.Is 16524 divisible by 6?
  11. 11.Is 16380 divisible by 13?
  12. 12.Is 11631 divisible by 15?
  13. 13.Is 60393 divisible by 9?
  14. 14.Is 78964 divisible by 19?
  15. 15.Is 5402 divisible by 2?
  16. 16.Is 3451 divisible by 20?
  17. 17.Is 6619 divisible by 4?
  18. 18.Is 95693 divisible by 17?
  19. 19.Is 11505 divisible by 2?
  20. 20.Is 9320 divisible by 20?
  21. 21.Is 125077 divisible by 29?
  22. 22.Is 22477 divisible by 5?
  23. 23.Is 4466 divisible by 3?
  24. 24.Is 19837 divisible by 5?
  25. 25.Is 138502 divisible by 23?
  26. 26.Is 194872 divisible by 30?
  27. 27.Is 12486 divisible by 6?
  28. 28.Is 51699 divisible by 17?
  29. 29.Is 74251 divisible by 20?
  30. 30.Is 19888 divisible by 4?
  31. 31.Is 183257 divisible by 29?
  32. 32.Is 24908 divisible by 13?
  33. 33.Is 40019 divisible by 7?
  34. 34.Is 6300 divisible by 30?
  35. 35.Is 5340 divisible by 6?
  36. 36.Is 1359 divisible by 6?
  37. 37.Is 117930 divisible by 30?
  38. 38.Is 2052 divisible by 18?
  39. 39.Is 19159 divisible by 11?
  40. 40.Is 101487 divisible by 18?

Answer key

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

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