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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 150 · 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 9237 divisible by 5?
  2. 2.Is 23960 divisible by 8?
  3. 3.Is 2917 divisible by 2?
  4. 4.Is 6608 divisible by 2?
  5. 5.Is 15404 divisible by 7?
  6. 6.Is 26384 divisible by 8?
  7. 7.Is 51060 divisible by 10?
  8. 8.Is 56540 divisible by 10?
  9. 9.Is 80734 divisible by 19?
  10. 10.Is 22824 divisible by 18?
  11. 11.Is 166530 divisible by 30?
  12. 12.Is 103462 divisible by 20?
  13. 13.Is 2370 divisible by 5?
  14. 14.Is 6766 divisible by 8?
  15. 15.Is 115096 divisible by 23?
  16. 16.Is 6735 divisible by 12?
  17. 17.Is 33252 divisible by 6?
  18. 18.Is 41448 divisible by 11?
  19. 19.Is 97254 divisible by 18?
  20. 20.Is 36006 divisible by 11?
  21. 21.Is 712 divisible by 23?
  22. 22.Is 59857 divisible by 24?
  23. 23.Is 147952 divisible by 23?
  24. 24.Is 63851 divisible by 17?
  25. 25.Is 632 divisible by 5?
  26. 26.Is 165600 divisible by 30?
  27. 27.Is 6330 divisible by 9?
  28. 28.Is 19250 divisible by 10?
  29. 29.Is 10450 divisible by 2?
  30. 30.Is 30061 divisible by 12?
  31. 31.Is 34766 divisible by 24?
  32. 32.Is 145700 divisible by 23?
  33. 33.Is 45020 divisible by 17?
  34. 34.Is 81720 divisible by 13?
  35. 35.Is 50895 divisible by 29?
  36. 36.Is 66240 divisible by 23?
  37. 37.Is 117305 divisible by 29?
  38. 38.Is 14156 divisible by 4?
  39. 39.Is 6360 divisible by 5?
  40. 40.Is 17544 divisible by 3?

Answer key

  1. no
  2. yes
  3. no
  4. yes
  5. no
  6. yes
  7. yes
  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. no
  21. no
  22. no
  23. no
  24. no
  25. no
  26. yes
  27. no
  28. yes
  29. yes
  30. no
  31. no
  32. no
  33. no
  34. no
  35. yes
  36. yes
  37. yes
  38. yes
  39. yes
  40. yes

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