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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 960 · 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 55506 divisible by 9?
  2. 2.Is 3854 divisible by 3?
  3. 3.Is 54375 divisible by 15?
  4. 4.Is 43104 divisible by 8?
  5. 5.Is 40006 divisible by 7?
  6. 6.Is 77004 divisible by 18?
  7. 7.Is 4896 divisible by 2?
  8. 8.Is 188520 divisible by 30?
  9. 9.Is 61743 divisible by 11?
  10. 10.Is 115578 divisible by 17?
  11. 11.Is 60606 divisible by 23?
  12. 12.Is 13225 divisible by 3?
  13. 13.Is 68913 divisible by 18?
  14. 14.Is 26136 divisible by 12?
  15. 15.Is 144660 divisible by 30?
  16. 16.Is 8622 divisible by 2?
  17. 17.Is 32574 divisible by 6?
  18. 18.Is 25770 divisible by 15?
  19. 19.Is 28872 divisible by 6?
  20. 20.Is 12307 divisible by 6?
  21. 21.Is 125510 divisible by 19?
  22. 22.Is 20178 divisible by 13?
  23. 23.Is 6669 divisible by 9?
  24. 24.Is 80555 divisible by 29?
  25. 25.Is 34523 divisible by 15?
  26. 26.Is 937 divisible by 29?
  27. 27.Is 21525 divisible by 10?
  28. 28.Is 19775 divisible by 17?
  29. 29.Is 24166 divisible by 12?
  30. 30.Is 19440 divisible by 24?
  31. 31.Is 71109 divisible by 24?
  32. 32.Is 29643 divisible by 5?
  33. 33.Is 27533 divisible by 6?
  34. 34.Is 17324 divisible by 5?
  35. 35.Is 30852 divisible by 6?
  36. 36.Is 124325 divisible by 19?
  37. 37.Is 100361 divisible by 15?
  38. 38.Is 33900 divisible by 30?
  39. 39.Is 68940 divisible by 18?
  40. 40.Is 5480 divisible by 8?

Answer key

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

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