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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 900 · 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 1943 divisible by 2?
  2. 2.Is 41758 divisible by 18?
  3. 3.Is 8985 divisible by 15?
  4. 4.Is 109745 divisible by 30?
  5. 5.Is 4353 divisible by 3?
  6. 6.Is 11740 divisible by 5?
  7. 7.Is 138336 divisible by 30?
  8. 8.Is 62303 divisible by 13?
  9. 9.Is 13183 divisible by 7?
  10. 10.Is 3357 divisible by 9?
  11. 11.Is 14328 divisible by 24?
  12. 12.Is 30631 divisible by 5?
  13. 13.Is 4856 divisible by 8?
  14. 14.Is 93210 divisible by 23?
  15. 15.Is 77583 divisible by 24?
  16. 16.Is 11683 divisible by 4?
  17. 17.Is 20160 divisible by 30?
  18. 18.Is 50213 divisible by 18?
  19. 19.Is 50767 divisible by 8?
  20. 20.Is 1291 divisible by 2?
  21. 21.Is 139494 divisible by 30?
  22. 22.Is 65504 divisible by 23?
  23. 23.Is 8800 divisible by 2?
  24. 24.Is 50897 divisible by 11?
  25. 25.Is 23096 divisible by 4?
  26. 26.Is 11342 divisible by 20?
  27. 27.Is 47705 divisible by 8?
  28. 28.Is 111366 divisible by 23?
  29. 29.Is 3428 divisible by 4?
  30. 30.Is 46900 divisible by 10?
  31. 31.Is 33718 divisible by 19?
  32. 32.Is 4149 divisible by 7?
  33. 33.Is 83160 divisible by 15?
  34. 34.Is 10296 divisible by 11?
  35. 35.Is 784 divisible by 11?
  36. 36.Is 97166 divisible by 19?
  37. 37.Is 34872 divisible by 24?
  38. 38.Is 48244 divisible by 15?
  39. 39.Is 18003 divisible by 3?
  40. 40.Is 7008 divisible by 12?

Answer key

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

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