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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 43 · 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 200730 divisible by 30?
  2. 2.Is 21727 divisible by 17?
  3. 3.Is 26004 divisible by 6?
  4. 4.Is 21303 divisible by 30?
  5. 5.Is 15180 divisible by 7?
  6. 6.Is 1334 divisible by 23?
  7. 7.Is 68932 divisible by 19?
  8. 8.Is 22932 divisible by 6?
  9. 9.Is 8406 divisible by 2?
  10. 10.Is 56418 divisible by 18?
  11. 11.Is 21591 divisible by 4?
  12. 12.Is 1480 divisible by 10?
  13. 13.Is 4060 divisible by 3?
  14. 14.Is 36456 divisible by 20?
  15. 15.Is 29269 divisible by 8?
  16. 16.Is 2043 divisible by 3?
  17. 17.Is 39074 divisible by 10?
  18. 18.Is 16668 divisible by 9?
  19. 19.Is 14203 divisible by 7?
  20. 20.Is 30389 divisible by 6?
  21. 21.Is 18638 divisible by 6?
  22. 22.Is 142715 divisible by 23?
  23. 23.Is 113909 divisible by 30?
  24. 24.Is 6552 divisible by 4?
  25. 25.Is 65926 divisible by 13?
  26. 26.Is 32326 divisible by 7?
  27. 27.Is 12772 divisible by 2?
  28. 28.Is 27654 divisible by 11?
  29. 29.Is 19080 divisible by 9?
  30. 30.Is 2691 divisible by 9?
  31. 31.Is 25683 divisible by 4?
  32. 32.Is 32161 divisible by 29?
  33. 33.Is 49754 divisible by 8?
  34. 34.Is 25000 divisible by 23?
  35. 35.Is 9503 divisible by 17?
  36. 36.Is 66621 divisible by 10?
  37. 37.Is 24931 divisible by 5?
  38. 38.Is 13278 divisible by 23?
  39. 39.Is 172569 divisible by 29?
  40. 40.Is 6367 divisible by 4?

Answer key

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

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