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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 585 · 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 33090 divisible by 5?
  2. 2.Is 14432 divisible by 5?
  3. 3.Is 65989 divisible by 12?
  4. 4.Is 49532 divisible by 29?
  5. 5.Is 105468 divisible by 30?
  6. 6.Is 26503 divisible by 4?
  7. 7.Is 7605 divisible by 5?
  8. 8.Is 23904 divisible by 8?
  9. 9.Is 29800 divisible by 8?
  10. 10.Is 39305 divisible by 20?
  11. 11.Is 112464 divisible by 18?
  12. 12.Is 6180 divisible by 2?
  13. 13.Is 104622 divisible by 15?
  14. 14.Is 7632 divisible by 2?
  15. 15.Is 22304 divisible by 7?
  16. 16.Is 59424 divisible by 9?
  17. 17.Is 5963 divisible by 10?
  18. 18.Is 7029 divisible by 4?
  19. 19.Is 34765 divisible by 5?
  20. 20.Is 120327 divisible by 19?
  21. 21.Is 7817 divisible by 2?
  22. 22.Is 67284 divisible by 12?
  23. 23.Is 4180 divisible by 11?
  24. 24.Is 346 divisible by 3?
  25. 25.Is 42974 divisible by 19?
  26. 26.Is 124450 divisible by 19?
  27. 27.Is 26088 divisible by 4?
  28. 28.Is 9563 divisible by 4?
  29. 29.Is 21578 divisible by 11?
  30. 30.Is 21862 divisible by 30?
  31. 31.Is 57528 divisible by 24?
  32. 32.Is 28268 divisible by 20?
  33. 33.Is 38580 divisible by 30?
  34. 34.Is 16523 divisible by 4?
  35. 35.Is 92862 divisible by 18?
  36. 36.Is 3796 divisible by 3?
  37. 37.Is 25354 divisible by 5?
  38. 38.Is 15594 divisible by 5?
  39. 39.Is 139856 divisible by 30?
  40. 40.Is 8960 divisible by 20?

Answer key

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

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