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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 121 · 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 2967 divisible by 3?
  2. 2.Is 20943 divisible by 9?
  3. 3.Is 96073 divisible by 23?
  4. 4.Is 65182 divisible by 19?
  5. 5.Is 54004 divisible by 23?
  6. 6.Is 5340 divisible by 20?
  7. 7.Is 22935 divisible by 11?
  8. 8.Is 5607 divisible by 2?
  9. 9.Is 85595 divisible by 19?
  10. 10.Is 41886 divisible by 13?
  11. 11.Is 155217 divisible by 30?
  12. 12.Is 170331 divisible by 29?
  13. 13.Is 2904 divisible by 6?
  14. 14.Is 55245 divisible by 15?
  15. 15.Is 11909 divisible by 3?
  16. 16.Is 2877 divisible by 7?
  17. 17.Is 26947 divisible by 10?
  18. 18.Is 25529 divisible by 6?
  19. 19.Is 47658 divisible by 7?
  20. 20.Is 63940 divisible by 10?
  21. 21.Is 90663 divisible by 23?
  22. 22.Is 2337 divisible by 19?
  23. 23.Is 21614 divisible by 18?
  24. 24.Is 42878 divisible by 15?
  25. 25.Is 3774 divisible by 6?
  26. 26.Is 5143 divisible by 5?
  27. 27.Is 26495 divisible by 7?
  28. 28.Is 3387 divisible by 19?
  29. 29.Is 22620 divisible by 12?
  30. 30.Is 73179 divisible by 30?
  31. 31.Is 44754 divisible by 30?
  32. 32.Is 4638 divisible by 4?
  33. 33.Is 4290 divisible by 30?
  34. 34.Is 21150 divisible by 10?
  35. 35.Is 30006 divisible by 9?
  36. 36.Is 9062 divisible by 18?
  37. 37.Is 92205 divisible by 15?
  38. 38.Is 9892 divisible by 8?
  39. 39.Is 16459 divisible by 3?
  40. 40.Is 42780 divisible by 20?

Answer key

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

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