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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 180 · 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 13104 divisible by 9?
  2. 2.Is 91653 divisible by 20?
  3. 3.Is 65272 divisible by 12?
  4. 4.Is 8840 divisible by 5?
  5. 5.Is 11520 divisible by 6?
  6. 6.Is 3016 divisible by 5?
  7. 7.Is 14046 divisible by 6?
  8. 8.Is 3902 divisible by 17?
  9. 9.Is 24640 divisible by 10?
  10. 10.Is 5042 divisible by 2?
  11. 11.Is 134921 divisible by 20?
  12. 12.Is 90293 divisible by 20?
  13. 13.Is 7531 divisible by 7?
  14. 14.Is 44143 divisible by 30?
  15. 15.Is 18623 divisible by 7?
  16. 16.Is 72260 divisible by 13?
  17. 17.Is 13324 divisible by 2?
  18. 18.Is 25949 divisible by 8?
  19. 19.Is 46614 divisible by 17?
  20. 20.Is 6090 divisible by 8?
  21. 21.Is 22231 divisible by 10?
  22. 22.Is 3192 divisible by 24?
  23. 23.Is 13916 divisible by 18?
  24. 24.Is 18336 divisible by 3?
  25. 25.Is 51159 divisible by 8?
  26. 26.Is 137610 divisible by 30?
  27. 27.Is 321 divisible by 11?
  28. 28.Is 141511 divisible by 23?
  29. 29.Is 31004 divisible by 20?
  30. 30.Is 13706 divisible by 11?
  31. 31.Is 101269 divisible by 17?
  32. 32.Is 5135 divisible by 7?
  33. 33.Is 30240 divisible by 10?
  34. 34.Is 2339 divisible by 2?
  35. 35.Is 66499 divisible by 12?
  36. 36.Is 11976 divisible by 6?
  37. 37.Is 11212 divisible by 24?
  38. 38.Is 14024 divisible by 5?
  39. 39.Is 124554 divisible by 19?
  40. 40.Is 35620 divisible by 20?

Answer key

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

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