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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 521 · 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 62784 divisible by 9?
  2. 2.Is 9050 divisible by 5?
  3. 3.Is 62210 divisible by 9?
  4. 4.Is 32118 divisible by 18?
  5. 5.Is 13348 divisible by 2?
  6. 6.Is 9778 divisible by 7?
  7. 7.Is 14549 divisible by 9?
  8. 8.Is 93360 divisible by 30?
  9. 9.Is 22870 divisible by 10?
  10. 10.Is 81490 divisible by 13?
  11. 11.Is 85040 divisible by 20?
  12. 12.Is 41888 divisible by 6?
  13. 13.Is 3956 divisible by 3?
  14. 14.Is 5205 divisible by 3?
  15. 15.Is 2092 divisible by 5?
  16. 16.Is 400 divisible by 10?
  17. 17.Is 39333 divisible by 9?
  18. 18.Is 90901 divisible by 20?
  19. 19.Is 23850 divisible by 9?
  20. 20.Is 65551 divisible by 11?
  21. 21.Is 39304 divisible by 6?
  22. 22.Is 2119 divisible by 4?
  23. 23.Is 10883 divisible by 8?
  24. 24.Is 8925 divisible by 8?
  25. 25.Is 17615 divisible by 11?
  26. 26.Is 42257 divisible by 10?
  27. 27.Is 102272 divisible by 17?
  28. 28.Is 27601 divisible by 6?
  29. 29.Is 133316 divisible by 23?
  30. 30.Is 60432 divisible by 13?
  31. 31.Is 14167 divisible by 5?
  32. 32.Is 33078 divisible by 19?
  33. 33.Is 9704 divisible by 2?
  34. 34.Is 7462 divisible by 2?
  35. 35.Is 12500 divisible by 10?
  36. 36.Is 35861 divisible by 7?
  37. 37.Is 3735 divisible by 2?
  38. 38.Is 26060 divisible by 20?
  39. 39.Is 18870 divisible by 17?
  40. 40.Is 14639 divisible by 18?

Answer key

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

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