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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 126 · 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 3260 divisible by 10?
  2. 2.Is 60549 divisible by 15?
  3. 3.Is 106320 divisible by 24?
  4. 4.Is 9310 divisible by 3?
  5. 5.Is 84006 divisible by 18?
  6. 6.Is 95212 divisible by 29?
  7. 7.Is 94155 divisible by 15?
  8. 8.Is 83740 divisible by 20?
  9. 9.Is 82836 divisible by 12?
  10. 10.Is 20664 divisible by 15?
  11. 11.Is 104886 divisible by 20?
  12. 12.Is 9173 divisible by 6?
  13. 13.Is 12251 divisible by 2?
  14. 14.Is 37632 divisible by 12?
  15. 15.Is 40445 divisible by 24?
  16. 16.Is 67080 divisible by 15?
  17. 17.Is 61053 divisible by 9?
  18. 18.Is 11535 divisible by 15?
  19. 19.Is 9785 divisible by 9?
  20. 20.Is 36232 divisible by 19?
  21. 21.Is 112355 divisible by 23?
  22. 22.Is 165242 divisible by 29?
  23. 23.Is 73721 divisible by 23?
  24. 24.Is 48654 divisible by 17?
  25. 25.Is 6248 divisible by 2?
  26. 26.Is 44010 divisible by 18?
  27. 27.Is 18078 divisible by 3?
  28. 28.Is 11030 divisible by 5?
  29. 29.Is 94110 divisible by 30?
  30. 30.Is 113981 divisible by 19?
  31. 31.Is 26258 divisible by 11?
  32. 32.Is 9394 divisible by 7?
  33. 33.Is 66000 divisible by 11?
  34. 34.Is 60750 divisible by 15?
  35. 35.Is 31356 divisible by 12?
  36. 36.Is 34089 divisible by 9?
  37. 37.Is 33560 divisible by 20?
  38. 38.Is 69363 divisible by 13?
  39. 39.Is 104361 divisible by 17?
  40. 40.Is 30216 divisible by 7?

Answer key

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

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