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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 233 · 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 33158 divisible by 20?
  2. 2.Is 134120 divisible by 20?
  3. 3.Is 20722 divisible by 5?
  4. 4.Is 8155 divisible by 5?
  5. 5.Is 26576 divisible by 8?
  6. 6.Is 3702 divisible by 5?
  7. 7.Is 59898 divisible by 30?
  8. 8.Is 100260 divisible by 15?
  9. 9.Is 2616 divisible by 4?
  10. 10.Is 7081 divisible by 4?
  11. 11.Is 38128 divisible by 6?
  12. 12.Is 3395 divisible by 8?
  13. 13.Is 70240 divisible by 20?
  14. 14.Is 101100 divisible by 20?
  15. 15.Is 13410 divisible by 5?
  16. 16.Is 22451 divisible by 13?
  17. 17.Is 143555 divisible by 24?
  18. 18.Is 9303 divisible by 3?
  19. 19.Is 22992 divisible by 12?
  20. 20.Is 39668 divisible by 29?
  21. 21.Is 9403 divisible by 6?
  22. 22.Is 1083 divisible by 9?
  23. 23.Is 178698 divisible by 29?
  24. 24.Is 19313 divisible by 19?
  25. 25.Is 57565 divisible by 29?
  26. 26.Is 69240 divisible by 12?
  27. 27.Is 30585 divisible by 10?
  28. 28.Is 15505 divisible by 4?
  29. 29.Is 17952 divisible by 4?
  30. 30.Is 48505 divisible by 8?
  31. 31.Is 83996 divisible by 20?
  32. 32.Is 43875 divisible by 13?
  33. 33.Is 68144 divisible by 13?
  34. 34.Is 41568 divisible by 12?
  35. 35.Is 34951 divisible by 29?
  36. 36.Is 101730 divisible by 30?
  37. 37.Is 31573 divisible by 19?
  38. 38.Is 37464 divisible by 24?
  39. 39.Is 21086 divisible by 6?
  40. 40.Is 27939 divisible by 9?

Answer key

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

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