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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 627 · 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 91440 divisible by 20?
  2. 2.Is 47281 divisible by 13?
  3. 3.Is 3626 divisible by 6?
  4. 4.Is 64812 divisible by 12?
  5. 5.Is 37349 divisible by 6?
  6. 6.Is 394 divisible by 2?
  7. 7.Is 31931 divisible by 5?
  8. 8.Is 53155 divisible by 10?
  9. 9.Is 6270 divisible by 15?
  10. 10.Is 8564 divisible by 10?
  11. 11.Is 8196 divisible by 6?
  12. 12.Is 9459 divisible by 24?
  13. 13.Is 1092 divisible by 2?
  14. 14.Is 3203 divisible by 2?
  15. 15.Is 194600 divisible by 29?
  16. 16.Is 7509 divisible by 2?
  17. 17.Is 12104 divisible by 17?
  18. 18.Is 12536 divisible by 8?
  19. 19.Is 37851 divisible by 23?
  20. 20.Is 32409 divisible by 13?
  21. 21.Is 47047 divisible by 7?
  22. 22.Is 67010 divisible by 11?
  23. 23.Is 19665 divisible by 6?
  24. 24.Is 28841 divisible by 10?
  25. 25.Is 39424 divisible by 24?
  26. 26.Is 7200 divisible by 6?
  27. 27.Is 25335 divisible by 4?
  28. 28.Is 154892 divisible by 23?
  29. 29.Is 20551 divisible by 11?
  30. 30.Is 9995 divisible by 2?
  31. 31.Is 138115 divisible by 23?
  32. 32.Is 146383 divisible by 23?
  33. 33.Is 3547 divisible by 2?
  34. 34.Is 20785 divisible by 8?
  35. 35.Is 36178 divisible by 8?
  36. 36.Is 1824 divisible by 2?
  37. 37.Is 35416 divisible by 8?
  38. 38.Is 135 divisible by 2?
  39. 39.Is 100154 divisible by 18?
  40. 40.Is 114720 divisible by 20?

Answer key

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

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