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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 235 · 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 59040 divisible by 30?
  2. 2.Is 24063 divisible by 4?
  3. 3.Is 9954 divisible by 3?
  4. 4.Is 115235 divisible by 19?
  5. 5.Is 47889 divisible by 12?
  6. 6.Is 10627 divisible by 5?
  7. 7.Is 95978 divisible by 29?
  8. 8.Is 9966 divisible by 15?
  9. 9.Is 1505 divisible by 13?
  10. 10.Is 39432 divisible by 7?
  11. 11.Is 16210 divisible by 3?
  12. 12.Is 82923 divisible by 18?
  13. 13.Is 133 divisible by 2?
  14. 14.Is 16283 divisible by 9?
  15. 15.Is 28601 divisible by 8?
  16. 16.Is 636 divisible by 4?
  17. 17.Is 97141 divisible by 20?
  18. 18.Is 78370 divisible by 17?
  19. 19.Is 30852 divisible by 13?
  20. 20.Is 1343 divisible by 2?
  21. 21.Is 45000 divisible by 24?
  22. 22.Is 5016 divisible by 8?
  23. 23.Is 16756 divisible by 4?
  24. 24.Is 41177 divisible by 17?
  25. 25.Is 17198 divisible by 17?
  26. 26.Is 14016 divisible by 24?
  27. 27.Is 4750 divisible by 15?
  28. 28.Is 6819 divisible by 6?
  29. 29.Is 71978 divisible by 17?
  30. 30.Is 15080 divisible by 29?
  31. 31.Is 9148 divisible by 4?
  32. 32.Is 78062 divisible by 30?
  33. 33.Is 24998 divisible by 29?
  34. 34.Is 120312 divisible by 24?
  35. 35.Is 26316 divisible by 29?
  36. 36.Is 7236 divisible by 12?
  37. 37.Is 128936 divisible by 30?
  38. 38.Is 7678 divisible by 11?
  39. 39.Is 13022 divisible by 5?
  40. 40.Is 3846 divisible by 2?

Answer key

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

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