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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 130 · 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 101712 divisible by 20?
  2. 2.Is 122629 divisible by 24?
  3. 3.Is 11303 divisible by 10?
  4. 4.Is 20750 divisible by 10?
  5. 5.Is 12003 divisible by 4?
  6. 6.Is 88693 divisible by 29?
  7. 7.Is 2471 divisible by 2?
  8. 8.Is 10682 divisible by 2?
  9. 9.Is 56891 divisible by 9?
  10. 10.Is 9778 divisible by 5?
  11. 11.Is 40094 divisible by 13?
  12. 12.Is 34609 divisible by 6?
  13. 13.Is 49005 divisible by 11?
  14. 14.Is 172345 divisible by 29?
  15. 15.Is 34089 divisible by 11?
  16. 16.Is 6576 divisible by 3?
  17. 17.Is 10475 divisible by 11?
  18. 18.Is 7468 divisible by 2?
  19. 19.Is 12515 divisible by 6?
  20. 20.Is 13610 divisible by 3?
  21. 21.Is 774 divisible by 2?
  22. 22.Is 18439 divisible by 20?
  23. 23.Is 39786 divisible by 6?
  24. 24.Is 65690 divisible by 15?
  25. 25.Is 94599 divisible by 23?
  26. 26.Is 71896 divisible by 15?
  27. 27.Is 39300 divisible by 8?
  28. 28.Is 26351 divisible by 6?
  29. 29.Is 92262 divisible by 18?
  30. 30.Is 126556 divisible by 29?
  31. 31.Is 16633 divisible by 6?
  32. 32.Is 41767 divisible by 11?
  33. 33.Is 23086 divisible by 7?
  34. 34.Is 14258 divisible by 17?
  35. 35.Is 16588 divisible by 13?
  36. 36.Is 127980 divisible by 30?
  37. 37.Is 8513 divisible by 6?
  38. 38.Is 45476 divisible by 12?
  39. 39.Is 123792 divisible by 30?
  40. 40.Is 33146 divisible by 5?

Answer key

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

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