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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 255 · 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 96786 divisible by 24?
  2. 2.Is 42963 divisible by 19?
  3. 3.Is 3951 divisible by 3?
  4. 4.Is 6740 divisible by 4?
  5. 5.Is 52286 divisible by 11?
  6. 6.Is 5480 divisible by 2?
  7. 7.Is 59008 divisible by 15?
  8. 8.Is 109111 divisible by 18?
  9. 9.Is 50256 divisible by 9?
  10. 10.Is 4353 divisible by 3?
  11. 11.Is 31352 divisible by 6?
  12. 12.Is 22712 divisible by 7?
  13. 13.Is 78462 divisible by 13?
  14. 14.Is 32853 divisible by 5?
  15. 15.Is 82160 divisible by 13?
  16. 16.Is 27683 divisible by 5?
  17. 17.Is 30988 divisible by 11?
  18. 18.Is 37852 divisible by 7?
  19. 19.Is 42912 divisible by 18?
  20. 20.Is 104745 divisible by 15?
  21. 21.Is 113426 divisible by 19?
  22. 22.Is 22541 divisible by 4?
  23. 23.Is 20363 divisible by 12?
  24. 24.Is 75944 divisible by 24?
  25. 25.Is 52193 divisible by 19?
  26. 26.Is 27313 divisible by 17?
  27. 27.Is 22554 divisible by 15?
  28. 28.Is 22594 divisible by 18?
  29. 29.Is 13796 divisible by 6?
  30. 30.Is 23501 divisible by 6?
  31. 31.Is 112908 divisible by 18?
  32. 32.Is 125172 divisible by 19?
  33. 33.Is 37895 divisible by 24?
  34. 34.Is 44644 divisible by 9?
  35. 35.Is 44128 divisible by 7?
  36. 36.Is 8676 divisible by 6?
  37. 37.Is 62748 divisible by 18?
  38. 38.Is 38577 divisible by 7?
  39. 39.Is 10476 divisible by 9?
  40. 40.Is 5181 divisible by 5?

Answer key

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

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