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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 880 · 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 20452 divisible by 3?
  2. 2.Is 10067 divisible by 9?
  3. 3.Is 33112 divisible by 13?
  4. 4.Is 15375 divisible by 15?
  5. 5.Is 88025 divisible by 19?
  6. 6.Is 12591 divisible by 3?
  7. 7.Is 82260 divisible by 20?
  8. 8.Is 31139 divisible by 7?
  9. 9.Is 175046 divisible by 29?
  10. 10.Is 25099 divisible by 4?
  11. 11.Is 88162 divisible by 23?
  12. 12.Is 24253 divisible by 5?
  13. 13.Is 189343 divisible by 30?
  14. 14.Is 22963 divisible by 8?
  15. 15.Is 6294 divisible by 4?
  16. 16.Is 41839 divisible by 9?
  17. 17.Is 31230 divisible by 15?
  18. 18.Is 50422 divisible by 17?
  19. 19.Is 4376 divisible by 20?
  20. 20.Is 58176 divisible by 24?
  21. 21.Is 153984 divisible by 24?
  22. 22.Is 48256 divisible by 13?
  23. 23.Is 73241 divisible by 15?
  24. 24.Is 69234 divisible by 10?
  25. 25.Is 610 divisible by 3?
  26. 26.Is 28030 divisible by 7?
  27. 27.Is 4427 divisible by 2?
  28. 28.Is 180853 divisible by 30?
  29. 29.Is 3737 divisible by 4?
  30. 30.Is 8364 divisible by 4?
  31. 31.Is 11429 divisible by 2?
  32. 32.Is 24100 divisible by 4?
  33. 33.Is 12620 divisible by 2?
  34. 34.Is 17253 divisible by 10?
  35. 35.Is 6768 divisible by 13?
  36. 36.Is 56520 divisible by 10?
  37. 37.Is 51821 divisible by 8?
  38. 38.Is 45479 divisible by 29?
  39. 39.Is 18414 divisible by 9?
  40. 40.Is 14763 divisible by 7?

Answer key

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

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