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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 734 · 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 81061 divisible by 29?
  2. 2.Is 23261 divisible by 6?
  3. 3.Is 11930 divisible by 2?
  4. 4.Is 12273 divisible by 8?
  5. 5.Is 9060 divisible by 3?
  6. 6.Is 59429 divisible by 18?
  7. 7.Is 3042 divisible by 6?
  8. 8.Is 7784 divisible by 3?
  9. 9.Is 8034 divisible by 6?
  10. 10.Is 58618 divisible by 23?
  11. 11.Is 60741 divisible by 9?
  12. 12.Is 5164 divisible by 8?
  13. 13.Is 9163 divisible by 7?
  14. 14.Is 55188 divisible by 9?
  15. 15.Is 20047 divisible by 7?
  16. 16.Is 90934 divisible by 19?
  17. 17.Is 10864 divisible by 8?
  18. 18.Is 108584 divisible by 24?
  19. 19.Is 26904 divisible by 19?
  20. 20.Is 14215 divisible by 3?
  21. 21.Is 38264 divisible by 12?
  22. 22.Is 10041 divisible by 8?
  23. 23.Is 34420 divisible by 20?
  24. 24.Is 136638 divisible by 29?
  25. 25.Is 8000 divisible by 7?
  26. 26.Is 5580 divisible by 9?
  27. 27.Is 24660 divisible by 9?
  28. 28.Is 43998 divisible by 8?
  29. 29.Is 10413 divisible by 8?
  30. 30.Is 40049 divisible by 7?
  31. 31.Is 44338 divisible by 10?
  32. 32.Is 10416 divisible by 7?
  33. 33.Is 51949 divisible by 13?
  34. 34.Is 26522 divisible by 4?
  35. 35.Is 12312 divisible by 3?
  36. 36.Is 18074 divisible by 8?
  37. 37.Is 43449 divisible by 7?
  38. 38.Is 207015 divisible by 30?
  39. 39.Is 13848 divisible by 3?
  40. 40.Is 62007 divisible by 30?

Answer key

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

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