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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 256 · 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 12256 divisible by 4?
  2. 2.Is 26900 divisible by 5?
  3. 3.Is 101582 divisible by 18?
  4. 4.Is 30229 divisible by 11?
  5. 5.Is 5073 divisible by 9?
  6. 6.Is 15123 divisible by 8?
  7. 7.Is 23765 divisible by 5?
  8. 8.Is 48990 divisible by 10?
  9. 9.Is 15361 divisible by 13?
  10. 10.Is 48308 divisible by 7?
  11. 11.Is 15484 divisible by 7?
  12. 12.Is 151440 divisible by 30?
  13. 13.Is 1327 divisible by 15?
  14. 14.Is 64350 divisible by 13?
  15. 15.Is 20794 divisible by 5?
  16. 16.Is 37111 divisible by 7?
  17. 17.Is 22419 divisible by 9?
  18. 18.Is 51117 divisible by 18?
  19. 19.Is 61110 divisible by 20?
  20. 20.Is 38727 divisible by 6?
  21. 21.Is 72098 divisible by 23?
  22. 22.Is 36320 divisible by 12?
  23. 23.Is 70382 divisible by 18?
  24. 24.Is 112319 divisible by 24?
  25. 25.Is 1239 divisible by 3?
  26. 26.Is 98097 divisible by 20?
  27. 27.Is 47539 divisible by 12?
  28. 28.Is 20097 divisible by 3?
  29. 29.Is 4420 divisible by 10?
  30. 30.Is 14042 divisible by 10?
  31. 31.Is 30406 divisible by 18?
  32. 32.Is 66791 divisible by 17?
  33. 33.Is 17525 divisible by 13?
  34. 34.Is 4737 divisible by 3?
  35. 35.Is 60831 divisible by 15?
  36. 36.Is 83092 divisible by 15?
  37. 37.Is 37811 divisible by 9?
  38. 38.Is 12547 divisible by 8?
  39. 39.Is 24660 divisible by 5?
  40. 40.Is 47173 divisible by 23?

Answer key

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

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