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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 407 · 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 18888 divisible by 3?
  2. 2.Is 148045 divisible by 29?
  3. 3.Is 50976 divisible by 18?
  4. 4.Is 10170 divisible by 3?
  5. 5.Is 22324 divisible by 8?
  6. 6.Is 3094 divisible by 6?
  7. 7.Is 10395 divisible by 5?
  8. 8.Is 59516 divisible by 9?
  9. 9.Is 66888 divisible by 18?
  10. 10.Is 58262 divisible by 30?
  11. 11.Is 158370 divisible by 30?
  12. 12.Is 35686 divisible by 6?
  13. 13.Is 1545 divisible by 3?
  14. 14.Is 19379 divisible by 7?
  15. 15.Is 75131 divisible by 20?
  16. 16.Is 6865 divisible by 4?
  17. 17.Is 5525 divisible by 5?
  18. 18.Is 50167 divisible by 11?
  19. 19.Is 28245 divisible by 5?
  20. 20.Is 49388 divisible by 24?
  21. 21.Is 18836 divisible by 17?
  22. 22.Is 50812 divisible by 18?
  23. 23.Is 19642 divisible by 20?
  24. 24.Is 54471 divisible by 17?
  25. 25.Is 128620 divisible by 20?
  26. 26.Is 80451 divisible by 13?
  27. 27.Is 35911 divisible by 9?
  28. 28.Is 41184 divisible by 12?
  29. 29.Is 88105 divisible by 30?
  30. 30.Is 111390 divisible by 17?
  31. 31.Is 74696 divisible by 15?
  32. 32.Is 31098 divisible by 5?
  33. 33.Is 37770 divisible by 6?
  34. 34.Is 33949 divisible by 17?
  35. 35.Is 25400 divisible by 9?
  36. 36.Is 110160 divisible by 18?
  37. 37.Is 16756 divisible by 3?
  38. 38.Is 11156 divisible by 5?
  39. 39.Is 107830 divisible by 18?
  40. 40.Is 121068 divisible by 23?

Answer key

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

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