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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 10 · 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 20726 divisible by 12?
  2. 2.Is 6360 divisible by 30?
  3. 3.Is 136551 divisible by 23?
  4. 4.Is 84616 divisible by 13?
  5. 5.Is 55920 divisible by 15?
  6. 6.Is 14490 divisible by 7?
  7. 7.Is 9623 divisible by 4?
  8. 8.Is 22030 divisible by 5?
  9. 9.Is 88048 divisible by 20?
  10. 10.Is 5164 divisible by 6?
  11. 11.Is 45744 divisible by 24?
  12. 12.Is 13983 divisible by 4?
  13. 13.Is 62707 divisible by 18?
  14. 14.Is 19371 divisible by 5?
  15. 15.Is 6442 divisible by 24?
  16. 16.Is 17737 divisible by 8?
  17. 17.Is 11748 divisible by 6?
  18. 18.Is 47075 divisible by 23?
  19. 19.Is 58554 divisible by 9?
  20. 20.Is 116850 divisible by 19?
  21. 21.Is 125244 divisible by 18?
  22. 22.Is 30913 divisible by 5?
  23. 23.Is 52092 divisible by 18?
  24. 24.Is 3562 divisible by 29?
  25. 25.Is 77211 divisible by 23?
  26. 26.Is 8424 divisible by 3?
  27. 27.Is 94495 divisible by 24?
  28. 28.Is 15492 divisible by 3?
  29. 29.Is 1109 divisible by 2?
  30. 30.Is 29364 divisible by 13?
  31. 31.Is 95922 divisible by 18?
  32. 32.Is 61422 divisible by 29?
  33. 33.Is 39048 divisible by 8?
  34. 34.Is 8157 divisible by 5?
  35. 35.Is 44811 divisible by 10?
  36. 36.Is 11234 divisible by 17?
  37. 37.Is 17954 divisible by 12?
  38. 38.Is 27939 divisible by 4?
  39. 39.Is 70144 divisible by 24?
  40. 40.Is 5715 divisible by 2?

Answer key

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

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