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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 633 · 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 49275 divisible by 13?
  2. 2.Is 70587 divisible by 11?
  3. 3.Is 12231 divisible by 8?
  4. 4.Is 88598 divisible by 20?
  5. 5.Is 11995 divisible by 23?
  6. 6.Is 36415 divisible by 15?
  7. 7.Is 77639 divisible by 17?
  8. 8.Is 27021 divisible by 4?
  9. 9.Is 4096 divisible by 2?
  10. 10.Is 46782 divisible by 18?
  11. 11.Is 6705 divisible by 5?
  12. 12.Is 8766 divisible by 10?
  13. 13.Is 24763 divisible by 4?
  14. 14.Is 96672 divisible by 19?
  15. 15.Is 1382 divisible by 3?
  16. 16.Is 5625 divisible by 2?
  17. 17.Is 43984 divisible by 15?
  18. 18.Is 8077 divisible by 4?
  19. 19.Is 19072 divisible by 3?
  20. 20.Is 106726 divisible by 17?
  21. 21.Is 9920 divisible by 5?
  22. 22.Is 14178 divisible by 4?
  23. 23.Is 27387 divisible by 9?
  24. 24.Is 16555 divisible by 3?
  25. 25.Is 113449 divisible by 19?
  26. 26.Is 111276 divisible by 18?
  27. 27.Is 1585 divisible by 2?
  28. 28.Is 32796 divisible by 6?
  29. 29.Is 29652 divisible by 6?
  30. 30.Is 53723 divisible by 20?
  31. 31.Is 16119 divisible by 3?
  32. 32.Is 56435 divisible by 17?
  33. 33.Is 126220 divisible by 20?
  34. 34.Is 1037 divisible by 2?
  35. 35.Is 300 divisible by 3?
  36. 36.Is 95010 divisible by 30?
  37. 37.Is 11072 divisible by 5?
  38. 38.Is 13477 divisible by 4?
  39. 39.Is 60132 divisible by 19?
  40. 40.Is 12639 divisible by 29?

Answer key

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

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