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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 936 · 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 19116 divisible by 18?
  2. 2.Is 127165 divisible by 30?
  3. 3.Is 917 divisible by 3?
  4. 4.Is 53500 divisible by 13?
  5. 5.Is 1057 divisible by 13?
  6. 6.Is 18707 divisible by 3?
  7. 7.Is 23560 divisible by 5?
  8. 8.Is 17010 divisible by 10?
  9. 9.Is 36579 divisible by 18?
  10. 10.Is 102815 divisible by 15?
  11. 11.Is 48465 divisible by 15?
  12. 12.Is 156078 divisible by 29?
  13. 13.Is 28635 divisible by 15?
  14. 14.Is 12686 divisible by 17?
  15. 15.Is 5234 divisible by 7?
  16. 16.Is 22490 divisible by 10?
  17. 17.Is 6926 divisible by 2?
  18. 18.Is 1943 divisible by 10?
  19. 19.Is 122314 divisible by 23?
  20. 20.Is 22447 divisible by 5?
  21. 21.Is 16524 divisible by 18?
  22. 22.Is 5921 divisible by 5?
  23. 23.Is 173222 divisible by 29?
  24. 24.Is 7636 divisible by 7?
  25. 25.Is 41302 divisible by 11?
  26. 26.Is 8388 divisible by 18?
  27. 27.Is 52673 divisible by 18?
  28. 28.Is 99405 divisible by 15?
  29. 29.Is 26723 divisible by 7?
  30. 30.Is 24864 divisible by 7?
  31. 31.Is 147120 divisible by 30?
  32. 32.Is 63728 divisible by 10?
  33. 33.Is 112421 divisible by 20?
  34. 34.Is 11965 divisible by 6?
  35. 35.Is 62288 divisible by 17?
  36. 36.Is 24354 divisible by 11?
  37. 37.Is 81237 divisible by 13?
  38. 38.Is 15446 divisible by 24?
  39. 39.Is 12987 divisible by 13?
  40. 40.Is 513 divisible by 10?

Answer key

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

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