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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 609 · 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 48398 divisible by 8?
  2. 2.Is 5621 divisible by 11?
  3. 3.Is 21491 divisible by 18?
  4. 4.Is 25257 divisible by 4?
  5. 5.Is 15841 divisible by 4?
  6. 6.Is 81183 divisible by 12?
  7. 7.Is 9156 divisible by 5?
  8. 8.Is 55935 divisible by 15?
  9. 9.Is 10908 divisible by 9?
  10. 10.Is 9083 divisible by 7?
  11. 11.Is 25223 divisible by 7?
  12. 12.Is 9755 divisible by 24?
  13. 13.Is 3286 divisible by 2?
  14. 14.Is 2261 divisible by 5?
  15. 15.Is 65351 divisible by 13?
  16. 16.Is 45601 divisible by 8?
  17. 17.Is 24654 divisible by 6?
  18. 18.Is 66440 divisible by 11?
  19. 19.Is 26497 divisible by 5?
  20. 20.Is 124383 divisible by 23?
  21. 21.Is 128644 divisible by 29?
  22. 22.Is 7777 divisible by 7?
  23. 23.Is 12408 divisible by 5?
  24. 24.Is 81991 divisible by 17?
  25. 25.Is 104806 divisible by 29?
  26. 26.Is 108623 divisible by 19?
  27. 27.Is 160800 divisible by 24?
  28. 28.Is 1128 divisible by 24?
  29. 29.Is 32811 divisible by 7?
  30. 30.Is 12226 divisible by 2?
  31. 31.Is 13884 divisible by 11?
  32. 32.Is 6609 divisible by 24?
  33. 33.Is 2608 divisible by 4?
  34. 34.Is 61642 divisible by 20?
  35. 35.Is 90898 divisible by 29?
  36. 36.Is 8001 divisible by 7?
  37. 37.Is 56134 divisible by 13?
  38. 38.Is 53910 divisible by 20?
  39. 39.Is 46544 divisible by 8?
  40. 40.Is 21840 divisible by 13?

Answer key

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

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