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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 275 · 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 31080 divisible by 30?
  2. 2.Is 30521 divisible by 23?
  3. 3.Is 58872 divisible by 11?
  4. 4.Is 3212 divisible by 2?
  5. 5.Is 38181 divisible by 13?
  6. 6.Is 72057 divisible by 11?
  7. 7.Is 78087 divisible by 13?
  8. 8.Is 814 divisible by 2?
  9. 9.Is 10013 divisible by 2?
  10. 10.Is 16572 divisible by 8?
  11. 11.Is 1094 divisible by 3?
  12. 12.Is 28557 divisible by 19?
  13. 13.Is 113078 divisible by 30?
  14. 14.Is 3304 divisible by 2?
  15. 15.Is 3275 divisible by 2?
  16. 16.Is 25995 divisible by 24?
  17. 17.Is 109385 divisible by 20?
  18. 18.Is 146065 divisible by 24?
  19. 19.Is 92229 divisible by 19?
  20. 20.Is 15925 divisible by 13?
  21. 21.Is 130500 divisible by 30?
  22. 22.Is 20111 divisible by 7?
  23. 23.Is 46982 divisible by 13?
  24. 24.Is 102150 divisible by 30?
  25. 25.Is 42973 divisible by 9?
  26. 26.Is 59367 divisible by 11?
  27. 27.Is 35305 divisible by 23?
  28. 28.Is 36309 divisible by 13?
  29. 29.Is 25687 divisible by 24?
  30. 30.Is 10734 divisible by 5?
  31. 31.Is 77350 divisible by 17?
  32. 32.Is 145001 divisible by 24?
  33. 33.Is 25027 divisible by 7?
  34. 34.Is 31655 divisible by 10?
  35. 35.Is 30636 divisible by 9?
  36. 36.Is 14848 divisible by 29?
  37. 37.Is 47498 divisible by 11?
  38. 38.Is 33966 divisible by 6?
  39. 39.Is 44530 divisible by 11?
  40. 40.Is 32203 divisible by 7?

Answer key

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

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