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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 197 · 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 18297 divisible by 9?
  2. 2.Is 29178 divisible by 9?
  3. 3.Is 29617 divisible by 8?
  4. 4.Is 6007 divisible by 3?
  5. 5.Is 64929 divisible by 23?
  6. 6.Is 10171 divisible by 7?
  7. 7.Is 95640 divisible by 20?
  8. 8.Is 32560 divisible by 20?
  9. 9.Is 107141 divisible by 19?
  10. 10.Is 186818 divisible by 29?
  11. 11.Is 22264 divisible by 4?
  12. 12.Is 131765 divisible by 19?
  13. 13.Is 28952 divisible by 8?
  14. 14.Is 53346 divisible by 15?
  15. 15.Is 13266 divisible by 11?
  16. 16.Is 21320 divisible by 13?
  17. 17.Is 48779 divisible by 29?
  18. 18.Is 30360 divisible by 12?
  19. 19.Is 12692 divisible by 4?
  20. 20.Is 4019 divisible by 2?
  21. 21.Is 3810 divisible by 4?
  22. 22.Is 35103 divisible by 17?
  23. 23.Is 15294 divisible by 3?
  24. 24.Is 33130 divisible by 19?
  25. 25.Is 3465 divisible by 2?
  26. 26.Is 15888 divisible by 6?
  27. 27.Is 38581 divisible by 12?
  28. 28.Is 10248 divisible by 8?
  29. 29.Is 132980 divisible by 20?
  30. 30.Is 5125 divisible by 9?
  31. 31.Is 40866 divisible by 6?
  32. 32.Is 15870 divisible by 10?
  33. 33.Is 115658 divisible by 18?
  34. 34.Is 19825 divisible by 13?
  35. 35.Is 4121 divisible by 4?
  36. 36.Is 113936 divisible by 17?
  37. 37.Is 4595 divisible by 3?
  38. 38.Is 22726 divisible by 4?
  39. 39.Is 11235 divisible by 15?
  40. 40.Is 69798 divisible by 15?

Answer key

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

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