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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 164 · 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 53027 divisible by 15?
  2. 2.Is 29665 divisible by 17?
  3. 3.Is 88189 divisible by 29?
  4. 4.Is 44380 divisible by 20?
  5. 5.Is 28505 divisible by 5?
  6. 6.Is 5950 divisible by 5?
  7. 7.Is 33603 divisible by 23?
  8. 8.Is 4929 divisible by 3?
  9. 9.Is 201260 divisible by 29?
  10. 10.Is 5484 divisible by 12?
  11. 11.Is 182918 divisible by 29?
  12. 12.Is 21150 divisible by 6?
  13. 13.Is 5755 divisible by 2?
  14. 14.Is 167024 divisible by 24?
  15. 15.Is 58884 divisible by 12?
  16. 16.Is 43448 divisible by 18?
  17. 17.Is 35529 divisible by 13?
  18. 18.Is 6807 divisible by 5?
  19. 19.Is 21993 divisible by 17?
  20. 20.Is 15431 divisible by 19?
  21. 21.Is 76086 divisible by 12?
  22. 22.Is 37002 divisible by 7?
  23. 23.Is 52909 divisible by 18?
  24. 24.Is 6655 divisible by 11?
  25. 25.Is 40012 divisible by 7?
  26. 26.Is 8226 divisible by 2?
  27. 27.Is 3108 divisible by 3?
  28. 28.Is 9338 divisible by 2?
  29. 29.Is 46152 divisible by 12?
  30. 30.Is 7584 divisible by 2?
  31. 31.Is 74536 divisible by 11?
  32. 32.Is 101088 divisible by 24?
  33. 33.Is 34958 divisible by 10?
  34. 34.Is 164216 divisible by 29?
  35. 35.Is 22846 divisible by 17?
  36. 36.Is 48607 divisible by 13?
  37. 37.Is 129920 divisible by 19?
  38. 38.Is 20527 divisible by 5?
  39. 39.Is 107286 divisible by 30?
  40. 40.Is 66899 divisible by 20?

Answer key

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

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