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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 426 · 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 9065 divisible by 2?
  2. 2.Is 10280 divisible by 5?
  3. 3.Is 12624 divisible by 4?
  4. 4.Is 57500 divisible by 10?
  5. 5.Is 88111 divisible by 17?
  6. 6.Is 205710 divisible by 30?
  7. 7.Is 45031 divisible by 10?
  8. 8.Is 55469 divisible by 12?
  9. 9.Is 46342 divisible by 29?
  10. 10.Is 55264 divisible by 8?
  11. 11.Is 18204 divisible by 13?
  12. 12.Is 11397 divisible by 3?
  13. 13.Is 39424 divisible by 11?
  14. 14.Is 44678 divisible by 7?
  15. 15.Is 113571 divisible by 17?
  16. 16.Is 145856 divisible by 29?
  17. 17.Is 28098 divisible by 7?
  18. 18.Is 244 divisible by 2?
  19. 19.Is 126539 divisible by 20?
  20. 20.Is 11726 divisible by 13?
  21. 21.Is 34965 divisible by 6?
  22. 22.Is 54267 divisible by 18?
  23. 23.Is 51964 divisible by 19?
  24. 24.Is 2810 divisible by 2?
  25. 25.Is 10738 divisible by 2?
  26. 26.Is 2478 divisible by 7?
  27. 27.Is 72984 divisible by 24?
  28. 28.Is 164872 divisible by 24?
  29. 29.Is 81900 divisible by 18?
  30. 30.Is 708 divisible by 12?
  31. 31.Is 15449 divisible by 12?
  32. 32.Is 13350 divisible by 24?
  33. 33.Is 42608 divisible by 11?
  34. 34.Is 1935 divisible by 8?
  35. 35.Is 8767 divisible by 2?
  36. 36.Is 39258 divisible by 18?
  37. 37.Is 6355 divisible by 5?
  38. 38.Is 41174 divisible by 20?
  39. 39.Is 35015 divisible by 12?
  40. 40.Is 11808 divisible by 6?

Answer key

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

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