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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 493 · 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 49420 divisible by 20?
  2. 2.Is 735 divisible by 15?
  3. 3.Is 28826 divisible by 29?
  4. 4.Is 11410 divisible by 3?
  5. 5.Is 24088 divisible by 6?
  6. 6.Is 741 divisible by 3?
  7. 7.Is 25035 divisible by 15?
  8. 8.Is 126870 divisible by 24?
  9. 9.Is 126072 divisible by 24?
  10. 10.Is 19035 divisible by 15?
  11. 11.Is 35709 divisible by 11?
  12. 12.Is 7630 divisible by 7?
  13. 13.Is 41963 divisible by 29?
  14. 14.Is 37648 divisible by 11?
  15. 15.Is 97166 divisible by 17?
  16. 16.Is 24563 divisible by 11?
  17. 17.Is 2894 divisible by 4?
  18. 18.Is 27246 divisible by 13?
  19. 19.Is 66056 divisible by 10?
  20. 20.Is 9121 divisible by 2?
  21. 21.Is 73561 divisible by 13?
  22. 22.Is 44865 divisible by 15?
  23. 23.Is 13349 divisible by 7?
  24. 24.Is 32186 divisible by 10?
  25. 25.Is 118697 divisible by 29?
  26. 26.Is 35825 divisible by 24?
  27. 27.Is 28680 divisible by 20?
  28. 28.Is 47011 divisible by 19?
  29. 29.Is 167855 divisible by 30?
  30. 30.Is 22106 divisible by 7?
  31. 31.Is 38801 divisible by 20?
  32. 32.Is 9809 divisible by 7?
  33. 33.Is 328 divisible by 4?
  34. 34.Is 3103 divisible by 10?
  35. 35.Is 87780 divisible by 30?
  36. 36.Is 5118 divisible by 8?
  37. 37.Is 13932 divisible by 18?
  38. 38.Is 15858 divisible by 6?
  39. 39.Is 21308 divisible by 7?
  40. 40.Is 94032 divisible by 18?

Answer key

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

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