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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 465 · 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 6604 divisible by 4?
  2. 2.Is 20243 divisible by 3?
  3. 3.Is 22080 divisible by 4?
  4. 4.Is 30530 divisible by 5?
  5. 5.Is 29281 divisible by 17?
  6. 6.Is 78233 divisible by 24?
  7. 7.Is 57314 divisible by 23?
  8. 8.Is 29497 divisible by 13?
  9. 9.Is 24481 divisible by 7?
  10. 10.Is 156277 divisible by 30?
  11. 11.Is 44888 divisible by 7?
  12. 12.Is 1429 divisible by 2?
  13. 13.Is 57821 divisible by 10?
  14. 14.Is 11850 divisible by 5?
  15. 15.Is 22009 divisible by 11?
  16. 16.Is 63509 divisible by 15?
  17. 17.Is 13257 divisible by 5?
  18. 18.Is 23469 divisible by 5?
  19. 19.Is 9018 divisible by 7?
  20. 20.Is 52580 divisible by 11?
  21. 21.Is 2170 divisible by 6?
  22. 22.Is 45182 divisible by 19?
  23. 23.Is 63920 divisible by 10?
  24. 24.Is 48060 divisible by 20?
  25. 25.Is 42090 divisible by 30?
  26. 26.Is 11129 divisible by 3?
  27. 27.Is 41067 divisible by 13?
  28. 28.Is 6072 divisible by 12?
  29. 29.Is 39114 divisible by 6?
  30. 30.Is 13524 divisible by 4?
  31. 31.Is 58860 divisible by 10?
  32. 32.Is 38021 divisible by 8?
  33. 33.Is 69930 divisible by 18?
  34. 34.Is 130207 divisible by 19?
  35. 35.Is 18715 divisible by 4?
  36. 36.Is 14375 divisible by 12?
  37. 37.Is 4024 divisible by 3?
  38. 38.Is 30000 divisible by 20?
  39. 39.Is 36613 divisible by 6?
  40. 40.Is 7794 divisible by 3?

Answer key

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

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