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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 565 · 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 22961 divisible by 23?
  2. 2.Is 81380 divisible by 13?
  3. 3.Is 112636 divisible by 29?
  4. 4.Is 78531 divisible by 17?
  5. 5.Is 7593 divisible by 7?
  6. 6.Is 104929 divisible by 23?
  7. 7.Is 24159 divisible by 4?
  8. 8.Is 3560 divisible by 8?
  9. 9.Is 24582 divisible by 18?
  10. 10.Is 2711 divisible by 3?
  11. 11.Is 6079 divisible by 10?
  12. 12.Is 48080 divisible by 10?
  13. 13.Is 116124 divisible by 23?
  14. 14.Is 21740 divisible by 5?
  15. 15.Is 11680 divisible by 11?
  16. 16.Is 7154 divisible by 2?
  17. 17.Is 13844 divisible by 4?
  18. 18.Is 24030 divisible by 4?
  19. 19.Is 4473 divisible by 2?
  20. 20.Is 46108 divisible by 12?
  21. 21.Is 4224 divisible by 6?
  22. 22.Is 35080 divisible by 10?
  23. 23.Is 2729 divisible by 4?
  24. 24.Is 40760 divisible by 20?
  25. 25.Is 159661 divisible by 24?
  26. 26.Is 99700 divisible by 20?
  27. 27.Is 63298 divisible by 13?
  28. 28.Is 20944 divisible by 10?
  29. 29.Is 16776 divisible by 18?
  30. 30.Is 2625 divisible by 4?
  31. 31.Is 12999 divisible by 4?
  32. 32.Is 3659 divisible by 3?
  33. 33.Is 15802 divisible by 7?
  34. 34.Is 172305 divisible by 30?
  35. 35.Is 32568 divisible by 8?
  36. 36.Is 66530 divisible by 10?
  37. 37.Is 8516 divisible by 5?
  38. 38.Is 25939 divisible by 5?
  39. 39.Is 28926 divisible by 18?
  40. 40.Is 33796 divisible by 7?

Answer key

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

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