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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 877 · 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 3292 divisible by 3?
  2. 2.Is 83830 divisible by 19?
  3. 3.Is 9070 divisible by 7?
  4. 4.Is 56475 divisible by 15?
  5. 5.Is 44144 divisible by 13?
  6. 6.Is 27363 divisible by 9?
  7. 7.Is 27039 divisible by 12?
  8. 8.Is 42040 divisible by 20?
  9. 9.Is 26006 divisible by 15?
  10. 10.Is 1861 divisible by 3?
  11. 11.Is 32700 divisible by 10?
  12. 12.Is 34996 divisible by 15?
  13. 13.Is 16380 divisible by 15?
  14. 14.Is 161296 divisible by 24?
  15. 15.Is 2078 divisible by 5?
  16. 16.Is 11307 divisible by 3?
  17. 17.Is 1542 divisible by 3?
  18. 18.Is 6033 divisible by 17?
  19. 19.Is 24161 divisible by 13?
  20. 20.Is 83856 divisible by 24?
  21. 21.Is 8358 divisible by 7?
  22. 22.Is 115524 divisible by 18?
  23. 23.Is 35997 divisible by 8?
  24. 24.Is 79683 divisible by 20?
  25. 25.Is 86420 divisible by 29?
  26. 26.Is 23960 divisible by 11?
  27. 27.Is 40690 divisible by 13?
  28. 28.Is 14205 divisible by 11?
  29. 29.Is 13902 divisible by 12?
  30. 30.Is 6686 divisible by 7?
  31. 31.Is 2677 divisible by 6?
  32. 32.Is 7993 divisible by 13?
  33. 33.Is 10360 divisible by 4?
  34. 34.Is 16061 divisible by 15?
  35. 35.Is 20763 divisible by 9?
  36. 36.Is 134500 divisible by 24?
  37. 37.Is 20225 divisible by 6?
  38. 38.Is 50700 divisible by 30?
  39. 39.Is 95749 divisible by 23?
  40. 40.Is 131530 divisible by 19?

Answer key

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

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