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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 143 · 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 34908 divisible by 6?
  2. 2.Is 3584 divisible by 5?
  3. 3.Is 72483 divisible by 15?
  4. 4.Is 4382 divisible by 2?
  5. 5.Is 1008 divisible by 15?
  6. 6.Is 70265 divisible by 13?
  7. 7.Is 26474 divisible by 7?
  8. 8.Is 18006 divisible by 12?
  9. 9.Is 117684 divisible by 19?
  10. 10.Is 9246 divisible by 7?
  11. 11.Is 18621 divisible by 9?
  12. 12.Is 1015 divisible by 7?
  13. 13.Is 19364 divisible by 5?
  14. 14.Is 3963 divisible by 29?
  15. 15.Is 14712 divisible by 3?
  16. 16.Is 26305 divisible by 18?
  17. 17.Is 36360 divisible by 30?
  18. 18.Is 1005 divisible by 2?
  19. 19.Is 11987 divisible by 18?
  20. 20.Is 68892 divisible by 12?
  21. 21.Is 32424 divisible by 6?
  22. 22.Is 28206 divisible by 9?
  23. 23.Is 59171 divisible by 12?
  24. 24.Is 3430 divisible by 2?
  25. 25.Is 120144 divisible by 24?
  26. 26.Is 43945 divisible by 23?
  27. 27.Is 107426 divisible by 19?
  28. 28.Is 58813 divisible by 10?
  29. 29.Is 71496 divisible by 17?
  30. 30.Is 111927 divisible by 17?
  31. 31.Is 53340 divisible by 10?
  32. 32.Is 88251 divisible by 23?
  33. 33.Is 136320 divisible by 24?
  34. 34.Is 12838 divisible by 7?
  35. 35.Is 11321 divisible by 8?
  36. 36.Is 5584 divisible by 8?
  37. 37.Is 8555 divisible by 5?
  38. 38.Is 12848 divisible by 2?
  39. 39.Is 17238 divisible by 3?
  40. 40.Is 92 divisible by 2?

Answer key

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

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