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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 979 · 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 79452 divisible by 12?
  2. 2.Is 44185 divisible by 7?
  3. 3.Is 62991 divisible by 9?
  4. 4.Is 25901 divisible by 7?
  5. 5.Is 41884 divisible by 9?
  6. 6.Is 17705 divisible by 15?
  7. 7.Is 6908 divisible by 4?
  8. 8.Is 46081 divisible by 12?
  9. 9.Is 7981 divisible by 3?
  10. 10.Is 7362 divisible by 9?
  11. 11.Is 4348 divisible by 7?
  12. 12.Is 36382 divisible by 13?
  13. 13.Is 43975 divisible by 20?
  14. 14.Is 37659 divisible by 10?
  15. 15.Is 12549 divisible by 6?
  16. 16.Is 48572 divisible by 29?
  17. 17.Is 34814 divisible by 9?
  18. 18.Is 28710 divisible by 20?
  19. 19.Is 18086 divisible by 5?
  20. 20.Is 186172 divisible by 30?
  21. 21.Is 1820 divisible by 30?
  22. 22.Is 7425 divisible by 15?
  23. 23.Is 11148 divisible by 8?
  24. 24.Is 26397 divisible by 13?
  25. 25.Is 115188 divisible by 29?
  26. 26.Is 100653 divisible by 18?
  27. 27.Is 87226 divisible by 17?
  28. 28.Is 12809 divisible by 2?
  29. 29.Is 23995 divisible by 5?
  30. 30.Is 90044 divisible by 15?
  31. 31.Is 56800 divisible by 17?
  32. 32.Is 179775 divisible by 30?
  33. 33.Is 49011 divisible by 15?
  34. 34.Is 44953 divisible by 7?
  35. 35.Is 58807 divisible by 12?
  36. 36.Is 35952 divisible by 7?
  37. 37.Is 64350 divisible by 11?
  38. 38.Is 10527 divisible by 11?
  39. 39.Is 21879 divisible by 12?
  40. 40.Is 84850 divisible by 15?

Answer key

  1. yes
  2. no
  3. yes
  4. no
  5. no
  6. no
  7. yes
  8. no
  9. no
  10. yes
  11. no
  12. no
  13. no
  14. no
  15. no
  16. no
  17. no
  18. no
  19. no
  20. no
  21. no
  22. yes
  23. no
  24. no
  25. yes
  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. no
  40. no

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