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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 24 · 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 1011 divisible by 5?
  2. 2.Is 7849 divisible by 19?
  3. 3.Is 106227 divisible by 29?
  4. 4.Is 13038 divisible by 17?
  5. 5.Is 34937 divisible by 23?
  6. 6.Is 20341 divisible by 5?
  7. 7.Is 12873 divisible by 7?
  8. 8.Is 12000 divisible by 12?
  9. 9.Is 146058 divisible by 29?
  10. 10.Is 26355 divisible by 13?
  11. 11.Is 63550 divisible by 10?
  12. 12.Is 15029 divisible by 19?
  13. 13.Is 85575 divisible by 13?
  14. 14.Is 51242 divisible by 9?
  15. 15.Is 2503 divisible by 2?
  16. 16.Is 18090 divisible by 30?
  17. 17.Is 21246 divisible by 9?
  18. 18.Is 10365 divisible by 4?
  19. 19.Is 85289 divisible by 17?
  20. 20.Is 8376 divisible by 24?
  21. 21.Is 70260 divisible by 19?
  22. 22.Is 66857 divisible by 10?
  23. 23.Is 114475 divisible by 19?
  24. 24.Is 115551 divisible by 23?
  25. 25.Is 627 divisible by 19?
  26. 26.Is 59190 divisible by 10?
  27. 27.Is 27210 divisible by 10?
  28. 28.Is 167854 divisible by 30?
  29. 29.Is 19943 divisible by 3?
  30. 30.Is 88164 divisible by 15?
  31. 31.Is 22936 divisible by 8?
  32. 32.Is 14744 divisible by 6?
  33. 33.Is 80572 divisible by 20?
  34. 34.Is 3784 divisible by 4?
  35. 35.Is 110308 divisible by 23?
  36. 36.Is 15277 divisible by 8?
  37. 37.Is 26865 divisible by 5?
  38. 38.Is 4530 divisible by 10?
  39. 39.Is 95076 divisible by 15?
  40. 40.Is 3531 divisible by 3?

Answer key

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

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