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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 496 · 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 71618 divisible by 19?
  2. 2.Is 29178 divisible by 12?
  3. 3.Is 101622 divisible by 30?
  4. 4.Is 25656 divisible by 30?
  5. 5.Is 29536 divisible by 6?
  6. 6.Is 17585 divisible by 24?
  7. 7.Is 41180 divisible by 18?
  8. 8.Is 20455 divisible by 7?
  9. 9.Is 55530 divisible by 30?
  10. 10.Is 11354 divisible by 24?
  11. 11.Is 18812 divisible by 10?
  12. 12.Is 3159 divisible by 9?
  13. 13.Is 21311 divisible by 11?
  14. 14.Is 175336 divisible by 30?
  15. 15.Is 12912 divisible by 24?
  16. 16.Is 70248 divisible by 24?
  17. 17.Is 132043 divisible by 23?
  18. 18.Is 53894 divisible by 24?
  19. 19.Is 58600 divisible by 15?
  20. 20.Is 17736 divisible by 3?
  21. 21.Is 107588 divisible by 24?
  22. 22.Is 943 divisible by 11?
  23. 23.Is 76099 divisible by 29?
  24. 24.Is 37695 divisible by 7?
  25. 25.Is 18888 divisible by 24?
  26. 26.Is 129700 divisible by 20?
  27. 27.Is 62291 divisible by 10?
  28. 28.Is 12125 divisible by 5?
  29. 29.Is 13860 divisible by 5?
  30. 30.Is 10558 divisible by 6?
  31. 31.Is 25570 divisible by 8?
  32. 32.Is 20149 divisible by 5?
  33. 33.Is 14496 divisible by 12?
  34. 34.Is 67329 divisible by 15?
  35. 35.Is 61758 divisible by 12?
  36. 36.Is 102492 divisible by 17?
  37. 37.Is 3086 divisible by 2?
  38. 38.Is 277 divisible by 3?
  39. 39.Is 1987 divisible by 4?
  40. 40.Is 1189 divisible by 4?

Answer key

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

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