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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 12 · 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 44928 divisible by 12?
  2. 2.Is 24871 divisible by 11?
  3. 3.Is 148252 divisible by 30?
  4. 4.Is 48072 divisible by 12?
  5. 5.Is 201900 divisible by 30?
  6. 6.Is 48927 divisible by 9?
  7. 7.Is 97565 divisible by 19?
  8. 8.Is 61043 divisible by 29?
  9. 9.Is 42855 divisible by 15?
  10. 10.Is 3909 divisible by 3?
  11. 11.Is 14643 divisible by 3?
  12. 12.Is 5916 divisible by 29?
  13. 13.Is 4069 divisible by 2?
  14. 14.Is 98384 divisible by 24?
  15. 15.Is 7274 divisible by 2?
  16. 16.Is 4604 divisible by 4?
  17. 17.Is 39437 divisible by 17?
  18. 18.Is 30107 divisible by 11?
  19. 19.Is 9436 divisible by 2?
  20. 20.Is 19944 divisible by 3?
  21. 21.Is 129098 divisible by 20?
  22. 22.Is 138666 divisible by 20?
  23. 23.Is 9825 divisible by 6?
  24. 24.Is 34931 divisible by 7?
  25. 25.Is 27274 divisible by 4?
  26. 26.Is 13794 divisible by 2?
  27. 27.Is 22952 divisible by 19?
  28. 28.Is 23891 divisible by 18?
  29. 29.Is 96900 divisible by 17?
  30. 30.Is 52327 divisible by 11?
  31. 31.Is 98279 divisible by 17?
  32. 32.Is 60180 divisible by 17?
  33. 33.Is 81105 divisible by 20?
  34. 34.Is 57253 divisible by 12?
  35. 35.Is 27146 divisible by 7?
  36. 36.Is 24230 divisible by 5?
  37. 37.Is 35640 divisible by 12?
  38. 38.Is 86607 divisible by 17?
  39. 39.Is 45683 divisible by 11?
  40. 40.Is 13068 divisible by 18?

Answer key

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

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