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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 77 · 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 37146 divisible by 6?
  2. 2.Is 96072 divisible by 24?
  3. 3.Is 103937 divisible by 19?
  4. 4.Is 82377 divisible by 20?
  5. 5.Is 106401 divisible by 18?
  6. 6.Is 156561 divisible by 23?
  7. 7.Is 13356 divisible by 3?
  8. 8.Is 14162 divisible by 7?
  9. 9.Is 17106 divisible by 17?
  10. 10.Is 37324 divisible by 10?
  11. 11.Is 36606 divisible by 6?
  12. 12.Is 12752 divisible by 11?
  13. 13.Is 1869 divisible by 2?
  14. 14.Is 31388 divisible by 18?
  15. 15.Is 5337 divisible by 2?
  16. 16.Is 29992 divisible by 23?
  17. 17.Is 39068 divisible by 10?
  18. 18.Is 14580 divisible by 6?
  19. 19.Is 64356 divisible by 12?
  20. 20.Is 29316 divisible by 6?
  21. 21.Is 19997 divisible by 8?
  22. 22.Is 22776 divisible by 13?
  23. 23.Is 2453 divisible by 8?
  24. 24.Is 35550 divisible by 15?
  25. 25.Is 38408 divisible by 18?
  26. 26.Is 4357 divisible by 4?
  27. 27.Is 10157 divisible by 3?
  28. 28.Is 17066 divisible by 19?
  29. 29.Is 11552 divisible by 3?
  30. 30.Is 15915 divisible by 15?
  31. 31.Is 3340 divisible by 2?
  32. 32.Is 72490 divisible by 24?
  33. 33.Is 67212 divisible by 18?
  34. 34.Is 122412 divisible by 29?
  35. 35.Is 4446 divisible by 4?
  36. 36.Is 11814 divisible by 6?
  37. 37.Is 31246 divisible by 11?
  38. 38.Is 5938 divisible by 2?
  39. 39.Is 34650 divisible by 12?
  40. 40.Is 6466 divisible by 13?

Answer key

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

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