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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 1 · 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 9856 divisible by 2?
  2. 2.Is 22909 divisible by 6?
  3. 3.Is 1345 divisible by 18?
  4. 4.Is 4116 divisible by 3?
  5. 5.Is 22212 divisible by 4?
  6. 6.Is 82132 divisible by 15?
  7. 7.Is 4468 divisible by 3?
  8. 8.Is 34245 divisible by 7?
  9. 9.Is 23760 divisible by 12?
  10. 10.Is 21549 divisible by 6?
  11. 11.Is 9758 divisible by 5?
  12. 12.Is 25644 divisible by 5?
  13. 13.Is 20503 divisible by 29?
  14. 14.Is 1488 divisible by 5?
  15. 15.Is 1145 divisible by 3?
  16. 16.Is 46544 divisible by 8?
  17. 17.Is 44540 divisible by 12?
  18. 18.Is 14264 divisible by 6?
  19. 19.Is 205839 divisible by 30?
  20. 20.Is 46721 divisible by 19?
  21. 21.Is 40610 divisible by 12?
  22. 22.Is 38623 divisible by 10?
  23. 23.Is 3587 divisible by 5?
  24. 24.Is 22656 divisible by 8?
  25. 25.Is 73021 divisible by 13?
  26. 26.Is 48609 divisible by 11?
  27. 27.Is 10895 divisible by 2?
  28. 28.Is 29236 divisible by 5?
  29. 29.Is 20501 divisible by 3?
  30. 30.Is 87600 divisible by 30?
  31. 31.Is 29979 divisible by 9?
  32. 32.Is 41470 divisible by 13?
  33. 33.Is 73964 divisible by 11?
  34. 34.Is 10445 divisible by 5?
  35. 35.Is 10040 divisible by 8?
  36. 36.Is 4878 divisible by 18?
  37. 37.Is 47310 divisible by 13?
  38. 38.Is 9870 divisible by 7?
  39. 39.Is 36902 divisible by 12?
  40. 40.Is 29385 divisible by 5?

Answer key

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

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