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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 324 · 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 21284 divisible by 8?
  2. 2.Is 15125 divisible by 6?
  3. 3.Is 7604 divisible by 4?
  4. 4.Is 84357 divisible by 13?
  5. 5.Is 32515 divisible by 9?
  6. 6.Is 4089 divisible by 29?
  7. 7.Is 2021 divisible by 2?
  8. 8.Is 14350 divisible by 9?
  9. 9.Is 165039 divisible by 29?
  10. 10.Is 9035 divisible by 5?
  11. 11.Is 13491 divisible by 2?
  12. 12.Is 14284 divisible by 4?
  13. 13.Is 5681 divisible by 19?
  14. 14.Is 46749 divisible by 15?
  15. 15.Is 99240 divisible by 20?
  16. 16.Is 8206 divisible by 3?
  17. 17.Is 88830 divisible by 15?
  18. 18.Is 2852 divisible by 8?
  19. 19.Is 21225 divisible by 13?
  20. 20.Is 3822 divisible by 3?
  21. 21.Is 92435 divisible by 19?
  22. 22.Is 15864 divisible by 3?
  23. 23.Is 3880 divisible by 7?
  24. 24.Is 20983 divisible by 6?
  25. 25.Is 18917 divisible by 15?
  26. 26.Is 35698 divisible by 7?
  27. 27.Is 118729 divisible by 23?
  28. 28.Is 91820 divisible by 20?
  29. 29.Is 25363 divisible by 4?
  30. 30.Is 94458 divisible by 30?
  31. 31.Is 5067 divisible by 3?
  32. 32.Is 38899 divisible by 12?
  33. 33.Is 21083 divisible by 10?
  34. 34.Is 38161 divisible by 19?
  35. 35.Is 24719 divisible by 13?
  36. 36.Is 32109 divisible by 24?
  37. 37.Is 5894 divisible by 12?
  38. 38.Is 29898 divisible by 8?
  39. 39.Is 30733 divisible by 8?
  40. 40.Is 11281 divisible by 2?

Answer key

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

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