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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 502 · 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 92344 divisible by 17?
  2. 2.Is 502 divisible by 4?
  3. 3.Is 145824 divisible by 24?
  4. 4.Is 21896 divisible by 8?
  5. 5.Is 8148 divisible by 7?
  6. 6.Is 30018 divisible by 9?
  7. 7.Is 26524 divisible by 12?
  8. 8.Is 141890 divisible by 24?
  9. 9.Is 24030 divisible by 30?
  10. 10.Is 24499 divisible by 4?
  11. 11.Is 7646 divisible by 5?
  12. 12.Is 445 divisible by 2?
  13. 13.Is 994 divisible by 7?
  14. 14.Is 55822 divisible by 19?
  15. 15.Is 84906 divisible by 20?
  16. 16.Is 46860 divisible by 12?
  17. 17.Is 3906 divisible by 18?
  18. 18.Is 23397 divisible by 11?
  19. 19.Is 30668 divisible by 11?
  20. 20.Is 18536 divisible by 7?
  21. 21.Is 64181 divisible by 13?
  22. 22.Is 36306 divisible by 10?
  23. 23.Is 8809 divisible by 2?
  24. 24.Is 14608 divisible by 7?
  25. 25.Is 25627 divisible by 6?
  26. 26.Is 90925 divisible by 23?
  27. 27.Is 2365 divisible by 5?
  28. 28.Is 54520 divisible by 29?
  29. 29.Is 65228 divisible by 23?
  30. 30.Is 22043 divisible by 6?
  31. 31.Is 150528 divisible by 30?
  32. 32.Is 5701 divisible by 11?
  33. 33.Is 173593 divisible by 30?
  34. 34.Is 1215 divisible by 2?
  35. 35.Is 51426 divisible by 9?
  36. 36.Is 13786 divisible by 11?
  37. 37.Is 30048 divisible by 5?
  38. 38.Is 29495 divisible by 5?
  39. 39.Is 6669 divisible by 2?
  40. 40.Is 22840 divisible by 20?

Answer key

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

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