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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 506 · 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 53383 divisible by 11?
  2. 2.Is 13014 divisible by 9?
  3. 3.Is 32130 divisible by 9?
  4. 4.Is 58420 divisible by 20?
  5. 5.Is 8276 divisible by 3?
  6. 6.Is 31943 divisible by 17?
  7. 7.Is 48753 divisible by 9?
  8. 8.Is 5759 divisible by 2?
  9. 9.Is 510 divisible by 2?
  10. 10.Is 301 divisible by 7?
  11. 11.Is 154062 divisible by 30?
  12. 12.Is 64021 divisible by 20?
  13. 13.Is 35070 divisible by 6?
  14. 14.Is 40649 divisible by 8?
  15. 15.Is 36352 divisible by 8?
  16. 16.Is 12854 divisible by 9?
  17. 17.Is 72504 divisible by 12?
  18. 18.Is 30906 divisible by 17?
  19. 19.Is 130401 divisible by 19?
  20. 20.Is 57171 divisible by 17?
  21. 21.Is 8007 divisible by 2?
  22. 22.Is 8231 divisible by 3?
  23. 23.Is 6737 divisible by 5?
  24. 24.Is 52212 divisible by 10?
  25. 25.Is 12097 divisible by 10?
  26. 26.Is 132288 divisible by 24?
  27. 27.Is 18446 divisible by 7?
  28. 28.Is 1404 divisible by 3?
  29. 29.Is 972 divisible by 9?
  30. 30.Is 7810 divisible by 18?
  31. 31.Is 2534 divisible by 11?
  32. 32.Is 139128 divisible by 24?
  33. 33.Is 5740 divisible by 4?
  34. 34.Is 80874 divisible by 18?
  35. 35.Is 2947 divisible by 2?
  36. 36.Is 19143 divisible by 3?
  37. 37.Is 44159 divisible by 29?
  38. 38.Is 59754 divisible by 23?
  39. 39.Is 77911 divisible by 17?
  40. 40.Is 53494 divisible by 30?

Answer key

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

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