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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 104 · 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 26480 divisible by 5?
  2. 2.Is 23629 divisible by 4?
  3. 3.Is 12918 divisible by 3?
  4. 4.Is 1494 divisible by 15?
  5. 5.Is 36640 divisible by 10?
  6. 6.Is 22574 divisible by 7?
  7. 7.Is 16912 divisible by 3?
  8. 8.Is 10144 divisible by 2?
  9. 9.Is 108456 divisible by 24?
  10. 10.Is 26597 divisible by 7?
  11. 11.Is 84540 divisible by 30?
  12. 12.Is 18089 divisible by 6?
  13. 13.Is 23512 divisible by 8?
  14. 14.Is 28140 divisible by 20?
  15. 15.Is 6042 divisible by 10?
  16. 16.Is 102 divisible by 2?
  17. 17.Is 43376 divisible by 7?
  18. 18.Is 35871 divisible by 8?
  19. 19.Is 48593 divisible by 9?
  20. 20.Is 32079 divisible by 5?
  21. 21.Is 42998 divisible by 7?
  22. 22.Is 1961 divisible by 15?
  23. 23.Is 110704 divisible by 17?
  24. 24.Is 117055 divisible by 30?
  25. 25.Is 19513 divisible by 13?
  26. 26.Is 31161 divisible by 8?
  27. 27.Is 40056 divisible by 8?
  28. 28.Is 6180 divisible by 10?
  29. 29.Is 147360 divisible by 30?
  30. 30.Is 8102 divisible by 17?
  31. 31.Is 76684 divisible by 19?
  32. 32.Is 8488 divisible by 17?
  33. 33.Is 89226 divisible by 18?
  34. 34.Is 108034 divisible by 19?
  35. 35.Is 8890 divisible by 18?
  36. 36.Is 9754 divisible by 7?
  37. 37.Is 48321 divisible by 9?
  38. 38.Is 1705 divisible by 2?
  39. 39.Is 60010 divisible by 11?
  40. 40.Is 7264 divisible by 4?

Answer key

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

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