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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 947 · 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 17196 divisible by 11?
  2. 2.Is 16741 divisible by 15?
  3. 3.Is 4772 divisible by 4?
  4. 4.Is 144532 divisible by 23?
  5. 5.Is 49901 divisible by 19?
  6. 6.Is 41528 divisible by 8?
  7. 7.Is 3640 divisible by 13?
  8. 8.Is 32610 divisible by 5?
  9. 9.Is 152 divisible by 10?
  10. 10.Is 21876 divisible by 15?
  11. 11.Is 32530 divisible by 5?
  12. 12.Is 18673 divisible by 4?
  13. 13.Is 11666 divisible by 2?
  14. 14.Is 25429 divisible by 20?
  15. 15.Is 1916 divisible by 3?
  16. 16.Is 110114 divisible by 17?
  17. 17.Is 1921 divisible by 4?
  18. 18.Is 25458 divisible by 5?
  19. 19.Is 7487 divisible by 2?
  20. 20.Is 21855 divisible by 10?
  21. 21.Is 10088 divisible by 2?
  22. 22.Is 27092 divisible by 17?
  23. 23.Is 9039 divisible by 17?
  24. 24.Is 62760 divisible by 15?
  25. 25.Is 57676 divisible by 18?
  26. 26.Is 16893 divisible by 29?
  27. 27.Is 109553 divisible by 30?
  28. 28.Is 25779 divisible by 13?
  29. 29.Is 3065 divisible by 5?
  30. 30.Is 19195 divisible by 12?
  31. 31.Is 20216 divisible by 8?
  32. 32.Is 25288 divisible by 8?
  33. 33.Is 41793 divisible by 11?
  34. 34.Is 112624 divisible by 20?
  35. 35.Is 33642 divisible by 17?
  36. 36.Is 12690 divisible by 30?
  37. 37.Is 15898 divisible by 12?
  38. 38.Is 6768 divisible by 18?
  39. 39.Is 7225 divisible by 5?
  40. 40.Is 12459 divisible by 5?

Answer key

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

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