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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 396 · 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 31892 divisible by 7?
  2. 2.Is 26848 divisible by 15?
  3. 3.Is 53004 divisible by 18?
  4. 4.Is 98813 divisible by 18?
  5. 5.Is 57031 divisible by 10?
  6. 6.Is 81004 divisible by 19?
  7. 7.Is 140909 divisible by 24?
  8. 8.Is 8712 divisible by 4?
  9. 9.Is 8034 divisible by 9?
  10. 10.Is 54606 divisible by 19?
  11. 11.Is 179046 divisible by 29?
  12. 12.Is 59829 divisible by 15?
  13. 13.Is 10602 divisible by 19?
  14. 14.Is 869 divisible by 3?
  15. 15.Is 36057 divisible by 19?
  16. 16.Is 160133 divisible by 24?
  17. 17.Is 127420 divisible by 20?
  18. 18.Is 6146 divisible by 12?
  19. 19.Is 86547 divisible by 17?
  20. 20.Is 15946 divisible by 4?
  21. 21.Is 24290 divisible by 10?
  22. 22.Is 18990 divisible by 15?
  23. 23.Is 63432 divisible by 18?
  24. 24.Is 59750 divisible by 10?
  25. 25.Is 85311 divisible by 15?
  26. 26.Is 13736 divisible by 17?
  27. 27.Is 161976 divisible by 24?
  28. 28.Is 109106 divisible by 17?
  29. 29.Is 24550 divisible by 18?
  30. 30.Is 13761 divisible by 8?
  31. 31.Is 45101 divisible by 7?
  32. 32.Is 80331 divisible by 19?
  33. 33.Is 49920 divisible by 10?
  34. 34.Is 14905 divisible by 11?
  35. 35.Is 6509 divisible by 17?
  36. 36.Is 24300 divisible by 20?
  37. 37.Is 18904 divisible by 13?
  38. 38.Is 21512 divisible by 10?
  39. 39.Is 32711 divisible by 18?
  40. 40.Is 76912 divisible by 11?

Answer key

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

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