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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 446 · 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 97364 divisible by 24?
  2. 2.Is 73872 divisible by 18?
  3. 3.Is 103925 divisible by 20?
  4. 4.Is 15691 divisible by 13?
  5. 5.Is 114480 divisible by 20?
  6. 6.Is 168039 divisible by 30?
  7. 7.Is 19989 divisible by 13?
  8. 8.Is 46134 divisible by 9?
  9. 9.Is 11106 divisible by 3?
  10. 10.Is 109887 divisible by 19?
  11. 11.Is 6121 divisible by 13?
  12. 12.Is 83448 divisible by 24?
  13. 13.Is 24983 divisible by 10?
  14. 14.Is 4018 divisible by 7?
  15. 15.Is 34581 divisible by 12?
  16. 16.Is 6794 divisible by 5?
  17. 17.Is 96057 divisible by 18?
  18. 18.Is 55535 divisible by 24?
  19. 19.Is 22902 divisible by 11?
  20. 20.Is 17884 divisible by 11?
  21. 21.Is 12661 divisible by 3?
  22. 22.Is 49000 divisible by 9?
  23. 23.Is 31685 divisible by 13?
  24. 24.Is 21740 divisible by 20?
  25. 25.Is 2518 divisible by 2?
  26. 26.Is 44402 divisible by 7?
  27. 27.Is 6920 divisible by 7?
  28. 28.Is 1966 divisible by 3?
  29. 29.Is 41553 divisible by 9?
  30. 30.Is 63095 divisible by 10?
  31. 31.Is 40305 divisible by 11?
  32. 32.Is 39438 divisible by 18?
  33. 33.Is 27225 divisible by 15?
  34. 34.Is 17088 divisible by 24?
  35. 35.Is 8621 divisible by 30?
  36. 36.Is 18153 divisible by 9?
  37. 37.Is 18516 divisible by 6?
  38. 38.Is 79220 divisible by 20?
  39. 39.Is 2204 divisible by 4?
  40. 40.Is 31134 divisible by 10?

Answer key

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

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