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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 705 · 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 5841 divisible by 2?
  2. 2.Is 24138 divisible by 15?
  3. 3.Is 153720 divisible by 30?
  4. 4.Is 79999 divisible by 19?
  5. 5.Is 15100 divisible by 20?
  6. 6.Is 25850 divisible by 10?
  7. 7.Is 49715 divisible by 19?
  8. 8.Is 6744 divisible by 3?
  9. 9.Is 40281 divisible by 24?
  10. 10.Is 82303 divisible by 13?
  11. 11.Is 8484 divisible by 3?
  12. 12.Is 31731 divisible by 6?
  13. 13.Is 10760 divisible by 2?
  14. 14.Is 7124 divisible by 3?
  15. 15.Is 34462 divisible by 13?
  16. 16.Is 18819 divisible by 4?
  17. 17.Is 50745 divisible by 17?
  18. 18.Is 68816 divisible by 11?
  19. 19.Is 19343 divisible by 23?
  20. 20.Is 110340 divisible by 30?
  21. 21.Is 7112 divisible by 6?
  22. 22.Is 71438 divisible by 23?
  23. 23.Is 8385 divisible by 2?
  24. 24.Is 24252 divisible by 4?
  25. 25.Is 67290 divisible by 10?
  26. 26.Is 86891 divisible by 19?
  27. 27.Is 16725 divisible by 5?
  28. 28.Is 150857 divisible by 24?
  29. 29.Is 8827 divisible by 3?
  30. 30.Is 102256 divisible by 20?
  31. 31.Is 11661 divisible by 23?
  32. 32.Is 12591 divisible by 6?
  33. 33.Is 16863 divisible by 12?
  34. 34.Is 23218 divisible by 8?
  35. 35.Is 140128 divisible by 29?
  36. 36.Is 116451 divisible by 23?
  37. 37.Is 27720 divisible by 9?
  38. 38.Is 23451 divisible by 15?
  39. 39.Is 10200 divisible by 3?
  40. 40.Is 35481 divisible by 6?

Answer key

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

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