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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 278 · 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 18223 divisible by 12?
  2. 2.Is 84847 divisible by 23?
  3. 3.Is 121371 divisible by 23?
  4. 4.Is 70667 divisible by 24?
  5. 5.Is 14387 divisible by 7?
  6. 6.Is 45920 divisible by 8?
  7. 7.Is 17324 divisible by 11?
  8. 8.Is 62060 divisible by 29?
  9. 9.Is 187920 divisible by 29?
  10. 10.Is 66096 divisible by 18?
  11. 11.Is 37254 divisible by 6?
  12. 12.Is 16976 divisible by 12?
  13. 13.Is 63623 divisible by 19?
  14. 14.Is 22128 divisible by 12?
  15. 15.Is 5116 divisible by 15?
  16. 16.Is 111054 divisible by 23?
  17. 17.Is 108880 divisible by 17?
  18. 18.Is 3322 divisible by 2?
  19. 19.Is 10041 divisible by 13?
  20. 20.Is 43160 divisible by 7?
  21. 21.Is 10660 divisible by 9?
  22. 22.Is 61060 divisible by 10?
  23. 23.Is 61873 divisible by 9?
  24. 24.Is 19964 divisible by 4?
  25. 25.Is 8210 divisible by 6?
  26. 26.Is 63504 divisible by 19?
  27. 27.Is 118306 divisible by 24?
  28. 28.Is 27786 divisible by 13?
  29. 29.Is 11609 divisible by 13?
  30. 30.Is 5549 divisible by 2?
  31. 31.Is 36190 divisible by 12?
  32. 32.Is 30955 divisible by 12?
  33. 33.Is 79688 divisible by 13?
  34. 34.Is 63719 divisible by 12?
  35. 35.Is 81260 divisible by 13?
  36. 36.Is 21285 divisible by 9?
  37. 37.Is 2822 divisible by 2?
  38. 38.Is 29568 divisible by 12?
  39. 39.Is 45793 divisible by 23?
  40. 40.Is 25936 divisible by 4?

Answer key

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

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