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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 802 · 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 49095 divisible by 12?
  2. 2.Is 81618 divisible by 30?
  3. 3.Is 5124 divisible by 6?
  4. 4.Is 18450 divisible by 6?
  5. 5.Is 4065 divisible by 3?
  6. 6.Is 76656 divisible by 12?
  7. 7.Is 1788 divisible by 3?
  8. 8.Is 17597 divisible by 4?
  9. 9.Is 4901 divisible by 13?
  10. 10.Is 28248 divisible by 6?
  11. 11.Is 120052 divisible by 20?
  12. 12.Is 3439 divisible by 19?
  13. 13.Is 13211 divisible by 2?
  14. 14.Is 20271 divisible by 3?
  15. 15.Is 6083 divisible by 7?
  16. 16.Is 59692 divisible by 9?
  17. 17.Is 7828 divisible by 2?
  18. 18.Is 36301 divisible by 6?
  19. 19.Is 8985 divisible by 5?
  20. 20.Is 29088 divisible by 24?
  21. 21.Is 47982 divisible by 23?
  22. 22.Is 35955 divisible by 9?
  23. 23.Is 31832 divisible by 23?
  24. 24.Is 52672 divisible by 18?
  25. 25.Is 587 divisible by 2?
  26. 26.Is 74818 divisible by 18?
  27. 27.Is 60786 divisible by 11?
  28. 28.Is 27693 divisible by 4?
  29. 29.Is 2973 divisible by 3?
  30. 30.Is 108091 divisible by 19?
  31. 31.Is 24255 divisible by 5?
  32. 32.Is 4996 divisible by 6?
  33. 33.Is 18981 divisible by 19?
  34. 34.Is 76741 divisible by 19?
  35. 35.Is 83143 divisible by 29?
  36. 36.Is 23424 divisible by 12?
  37. 37.Is 40836 divisible by 6?
  38. 38.Is 75795 divisible by 15?
  39. 39.Is 39696 divisible by 20?
  40. 40.Is 17928 divisible by 18?

Answer key

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

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