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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 421 · 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 8579 divisible by 3?
  2. 2.Is 25130 divisible by 7?
  3. 3.Is 7968 divisible by 24?
  4. 4.Is 28141 divisible by 7?
  5. 5.Is 18936 divisible by 18?
  6. 6.Is 52021 divisible by 9?
  7. 7.Is 42792 divisible by 24?
  8. 8.Is 8426 divisible by 3?
  9. 9.Is 16942 divisible by 12?
  10. 10.Is 19410 divisible by 4?
  11. 11.Is 7593 divisible by 11?
  12. 12.Is 119947 divisible by 23?
  13. 13.Is 13658 divisible by 2?
  14. 14.Is 95970 divisible by 30?
  15. 15.Is 79735 divisible by 15?
  16. 16.Is 629 divisible by 17?
  17. 17.Is 135701 divisible by 30?
  18. 18.Is 83716 divisible by 17?
  19. 19.Is 39600 divisible by 10?
  20. 20.Is 5943 divisible by 3?
  21. 21.Is 5221 divisible by 3?
  22. 22.Is 186184 divisible by 30?
  23. 23.Is 45600 divisible by 19?
  24. 24.Is 34851 divisible by 23?
  25. 25.Is 13902 divisible by 9?
  26. 26.Is 38058 divisible by 11?
  27. 27.Is 68055 divisible by 15?
  28. 28.Is 21324 divisible by 12?
  29. 29.Is 12849 divisible by 4?
  30. 30.Is 14992 divisible by 5?
  31. 31.Is 20435 divisible by 29?
  32. 32.Is 47584 divisible by 8?
  33. 33.Is 2046 divisible by 18?
  34. 34.Is 67830 divisible by 19?
  35. 35.Is 29866 divisible by 6?
  36. 36.Is 62208 divisible by 11?
  37. 37.Is 16048 divisible by 3?
  38. 38.Is 8372 divisible by 9?
  39. 39.Is 11557 divisible by 7?
  40. 40.Is 47712 divisible by 7?

Answer key

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

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