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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 981 · 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 82272 divisible by 24?
  2. 2.Is 15726 divisible by 20?
  3. 3.Is 1946 divisible by 4?
  4. 4.Is 74454 divisible by 12?
  5. 5.Is 86621 divisible by 19?
  6. 6.Is 7260 divisible by 20?
  7. 7.Is 82784 divisible by 17?
  8. 8.Is 6239 divisible by 2?
  9. 9.Is 71226 divisible by 15?
  10. 10.Is 49667 divisible by 19?
  11. 11.Is 99720 divisible by 18?
  12. 12.Is 48360 divisible by 8?
  13. 13.Is 7051 divisible by 23?
  14. 14.Is 57815 divisible by 23?
  15. 15.Is 55229 divisible by 15?
  16. 16.Is 10951 divisible by 5?
  17. 17.Is 27538 divisible by 5?
  18. 18.Is 4209 divisible by 2?
  19. 19.Is 711 divisible by 4?
  20. 20.Is 11124 divisible by 18?
  21. 21.Is 166277 divisible by 24?
  22. 22.Is 197031 divisible by 30?
  23. 23.Is 64345 divisible by 17?
  24. 24.Is 79956 divisible by 12?
  25. 25.Is 21044 divisible by 8?
  26. 26.Is 47332 divisible by 24?
  27. 27.Is 6726 divisible by 19?
  28. 28.Is 141114 divisible by 29?
  29. 29.Is 91368 divisible by 17?
  30. 30.Is 23710 divisible by 4?
  31. 31.Is 59997 divisible by 9?
  32. 32.Is 2140 divisible by 5?
  33. 33.Is 132878 divisible by 23?
  34. 34.Is 31003 divisible by 7?
  35. 35.Is 91781 divisible by 24?
  36. 36.Is 8470 divisible by 4?
  37. 37.Is 2322 divisible by 18?
  38. 38.Is 543 divisible by 2?
  39. 39.Is 50741 divisible by 12?
  40. 40.Is 1029 divisible by 20?

Answer key

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

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