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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 51 · 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 138431 divisible by 30?
  2. 2.Is 13576 divisible by 8?
  3. 3.Is 155832 divisible by 24?
  4. 4.Is 21990 divisible by 15?
  5. 5.Is 16533 divisible by 11?
  6. 6.Is 21864 divisible by 24?
  7. 7.Is 18381 divisible by 19?
  8. 8.Is 49972 divisible by 24?
  9. 9.Is 52265 divisible by 8?
  10. 10.Is 6359 divisible by 3?
  11. 11.Is 31785 divisible by 6?
  12. 12.Is 7580 divisible by 11?
  13. 13.Is 21351 divisible by 8?
  14. 14.Is 45647 divisible by 7?
  15. 15.Is 96190 divisible by 19?
  16. 16.Is 3273 divisible by 2?
  17. 17.Is 14712 divisible by 12?
  18. 18.Is 17201 divisible by 13?
  19. 19.Is 61515 divisible by 15?
  20. 20.Is 8878 divisible by 5?
  21. 21.Is 41586 divisible by 6?
  22. 22.Is 20507 divisible by 7?
  23. 23.Is 65095 divisible by 19?
  24. 24.Is 7042 divisible by 5?
  25. 25.Is 594 divisible by 12?
  26. 26.Is 39610 divisible by 6?
  27. 27.Is 23260 divisible by 7?
  28. 28.Is 194387 divisible by 29?
  29. 29.Is 57616 divisible by 13?
  30. 30.Is 12617 divisible by 2?
  31. 31.Is 71616 divisible by 12?
  32. 32.Is 64997 divisible by 13?
  33. 33.Is 30705 divisible by 15?
  34. 34.Is 13716 divisible by 4?
  35. 35.Is 81258 divisible by 29?
  36. 36.Is 16370 divisible by 10?
  37. 37.Is 13826 divisible by 2?
  38. 38.Is 5764 divisible by 8?
  39. 39.Is 88920 divisible by 24?
  40. 40.Is 14355 divisible by 3?

Answer key

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

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