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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 517 · 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 118547 divisible by 20?
  2. 2.Is 36549 divisible by 19?
  3. 3.Is 63546 divisible by 17?
  4. 4.Is 3253 divisible by 2?
  5. 5.Is 21982 divisible by 13?
  6. 6.Is 33156 divisible by 6?
  7. 7.Is 448 divisible by 5?
  8. 8.Is 161130 divisible by 30?
  9. 9.Is 2822 divisible by 2?
  10. 10.Is 31579 divisible by 24?
  11. 11.Is 1272 divisible by 6?
  12. 12.Is 136374 divisible by 20?
  13. 13.Is 4692 divisible by 4?
  14. 14.Is 8180 divisible by 5?
  15. 15.Is 11364 divisible by 12?
  16. 16.Is 30431 divisible by 6?
  17. 17.Is 20182 divisible by 7?
  18. 18.Is 35507 divisible by 6?
  19. 19.Is 103100 divisible by 20?
  20. 20.Is 110753 divisible by 18?
  21. 21.Is 38780 divisible by 9?
  22. 22.Is 15451 divisible by 18?
  23. 23.Is 21120 divisible by 15?
  24. 24.Is 73984 divisible by 17?
  25. 25.Is 125160 divisible by 24?
  26. 26.Is 32246 divisible by 12?
  27. 27.Is 51949 divisible by 12?
  28. 28.Is 46225 divisible by 10?
  29. 29.Is 34867 divisible by 8?
  30. 30.Is 75985 divisible by 13?
  31. 31.Is 87230 divisible by 13?
  32. 32.Is 73260 divisible by 15?
  33. 33.Is 17794 divisible by 10?
  34. 34.Is 29220 divisible by 20?
  35. 35.Is 2432 divisible by 17?
  36. 36.Is 73202 divisible by 11?
  37. 37.Is 17765 divisible by 3?
  38. 38.Is 49331 divisible by 10?
  39. 39.Is 66728 divisible by 19?
  40. 40.Is 21698 divisible by 4?

Answer key

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

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