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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 144 · 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 23154 divisible by 6?
  2. 2.Is 156840 divisible by 24?
  3. 3.Is 10741 divisible by 7?
  4. 4.Is 154730 divisible by 24?
  5. 5.Is 7773 divisible by 15?
  6. 6.Is 69616 divisible by 19?
  7. 7.Is 1325 divisible by 4?
  8. 8.Is 26919 divisible by 9?
  9. 9.Is 54028 divisible by 13?
  10. 10.Is 6095 divisible by 2?
  11. 11.Is 11204 divisible by 5?
  12. 12.Is 11548 divisible by 5?
  13. 13.Is 61384 divisible by 9?
  14. 14.Is 16690 divisible by 3?
  15. 15.Is 134012 divisible by 20?
  16. 16.Is 59643 divisible by 9?
  17. 17.Is 5613 divisible by 5?
  18. 18.Is 57637 divisible by 23?
  19. 19.Is 6350 divisible by 5?
  20. 20.Is 33265 divisible by 5?
  21. 21.Is 54468 divisible by 18?
  22. 22.Is 132038 divisible by 30?
  23. 23.Is 15943 divisible by 30?
  24. 24.Is 14975 divisible by 5?
  25. 25.Is 26474 divisible by 4?
  26. 26.Is 71573 divisible by 17?
  27. 27.Is 5034 divisible by 7?
  28. 28.Is 3420 divisible by 3?
  29. 29.Is 124260 divisible by 19?
  30. 30.Is 40563 divisible by 9?
  31. 31.Is 56751 divisible by 17?
  32. 32.Is 11484 divisible by 11?
  33. 33.Is 4726 divisible by 2?
  34. 34.Is 90364 divisible by 19?
  35. 35.Is 57563 divisible by 18?
  36. 36.Is 10969 divisible by 2?
  37. 37.Is 3084 divisible by 2?
  38. 38.Is 25669 divisible by 6?
  39. 39.Is 41387 divisible by 18?
  40. 40.Is 7528 divisible by 4?

Answer key

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

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