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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 923 · 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 19805 divisible by 5?
  2. 2.Is 33270 divisible by 15?
  3. 3.Is 48153 divisible by 9?
  4. 4.Is 116468 divisible by 24?
  5. 5.Is 121510 divisible by 29?
  6. 6.Is 33732 divisible by 9?
  7. 7.Is 3544 divisible by 6?
  8. 8.Is 11636 divisible by 4?
  9. 9.Is 58980 divisible by 10?
  10. 10.Is 26786 divisible by 11?
  11. 11.Is 46554 divisible by 20?
  12. 12.Is 109440 divisible by 24?
  13. 13.Is 69516 divisible by 12?
  14. 14.Is 40799 divisible by 6?
  15. 15.Is 26950 divisible by 10?
  16. 16.Is 56941 divisible by 29?
  17. 17.Is 19690 divisible by 7?
  18. 18.Is 123330 divisible by 30?
  19. 19.Is 102492 divisible by 18?
  20. 20.Is 16166 divisible by 3?
  21. 21.Is 3533 divisible by 2?
  22. 22.Is 51108 divisible by 9?
  23. 23.Is 5846 divisible by 2?
  24. 24.Is 98882 divisible by 18?
  25. 25.Is 25580 divisible by 5?
  26. 26.Is 41072 divisible by 29?
  27. 27.Is 620 divisible by 10?
  28. 28.Is 1040 divisible by 4?
  29. 29.Is 42697 divisible by 9?
  30. 30.Is 177465 divisible by 29?
  31. 31.Is 74568 divisible by 11?
  32. 32.Is 3516 divisible by 6?
  33. 33.Is 119755 divisible by 18?
  34. 34.Is 66445 divisible by 12?
  35. 35.Is 14088 divisible by 13?
  36. 36.Is 12172 divisible by 4?
  37. 37.Is 35884 divisible by 13?
  38. 38.Is 6886 divisible by 3?
  39. 39.Is 10025 divisible by 8?
  40. 40.Is 98909 divisible by 17?

Answer key

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

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