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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 253 · 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 3606 divisible by 2?
  2. 2.Is 36318 divisible by 15?
  3. 3.Is 69563 divisible by 10?
  4. 4.Is 158031 divisible by 30?
  5. 5.Is 87354 divisible by 15?
  6. 6.Is 39286 divisible by 15?
  7. 7.Is 7921 divisible by 5?
  8. 8.Is 22210 divisible by 4?
  9. 9.Is 2404 divisible by 2?
  10. 10.Is 96720 divisible by 24?
  11. 11.Is 38116 divisible by 8?
  12. 12.Is 9805 divisible by 3?
  13. 13.Is 23825 divisible by 11?
  14. 14.Is 39336 divisible by 11?
  15. 15.Is 86022 divisible by 20?
  16. 16.Is 10132 divisible by 2?
  17. 17.Is 6064 divisible by 9?
  18. 18.Is 32457 divisible by 8?
  19. 19.Is 14566 divisible by 5?
  20. 20.Is 4678 divisible by 12?
  21. 21.Is 9335 divisible by 4?
  22. 22.Is 3832 divisible by 2?
  23. 23.Is 32293 divisible by 6?
  24. 24.Is 73069 divisible by 23?
  25. 25.Is 160406 divisible by 24?
  26. 26.Is 14147 divisible by 3?
  27. 27.Is 61096 divisible by 11?
  28. 28.Is 11474 divisible by 2?
  29. 29.Is 18540 divisible by 5?
  30. 30.Is 36162 divisible by 9?
  31. 31.Is 12360 divisible by 30?
  32. 32.Is 1162 divisible by 7?
  33. 33.Is 69190 divisible by 11?
  34. 34.Is 12039 divisible by 8?
  35. 35.Is 2666 divisible by 5?
  36. 36.Is 25224 divisible by 12?
  37. 37.Is 11697 divisible by 5?
  38. 38.Is 34380 divisible by 9?
  39. 39.Is 8833 divisible by 3?
  40. 40.Is 5516 divisible by 3?

Answer key

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

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