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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 437 · 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 110792 divisible by 24?
  2. 2.Is 16116 divisible by 3?
  3. 3.Is 71047 divisible by 17?
  4. 4.Is 81397 divisible by 24?
  5. 5.Is 4826 divisible by 2?
  6. 6.Is 11312 divisible by 2?
  7. 7.Is 36320 divisible by 7?
  8. 8.Is 51487 divisible by 30?
  9. 9.Is 120690 divisible by 30?
  10. 10.Is 2164 divisible by 2?
  11. 11.Is 94912 divisible by 17?
  12. 12.Is 1956 divisible by 3?
  13. 13.Is 15957 divisible by 13?
  14. 14.Is 1930 divisible by 3?
  15. 15.Is 10403 divisible by 18?
  16. 16.Is 1700 divisible by 23?
  17. 17.Is 36264 divisible by 6?
  18. 18.Is 44060 divisible by 15?
  19. 19.Is 12846 divisible by 2?
  20. 20.Is 57895 divisible by 10?
  21. 21.Is 7056 divisible by 4?
  22. 22.Is 6138 divisible by 3?
  23. 23.Is 105187 divisible by 30?
  24. 24.Is 31770 divisible by 10?
  25. 25.Is 1054 divisible by 20?
  26. 26.Is 48639 divisible by 18?
  27. 27.Is 79101 divisible by 18?
  28. 28.Is 4438 divisible by 5?
  29. 29.Is 54944 divisible by 8?
  30. 30.Is 12184 divisible by 8?
  31. 31.Is 8477 divisible by 2?
  32. 32.Is 16961 divisible by 24?
  33. 33.Is 102789 divisible by 17?
  34. 34.Is 125954 divisible by 29?
  35. 35.Is 43111 divisible by 15?
  36. 36.Is 40755 divisible by 11?
  37. 37.Is 13694 divisible by 20?
  38. 38.Is 35896 divisible by 8?
  39. 39.Is 67958 divisible by 11?
  40. 40.Is 92 divisible by 2?

Answer key

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

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