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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 425 · 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 16492 divisible by 4?
  2. 2.Is 41805 divisible by 23?
  3. 3.Is 40630 divisible by 10?
  4. 4.Is 46910 divisible by 7?
  5. 5.Is 12045 divisible by 10?
  6. 6.Is 24000 divisible by 4?
  7. 7.Is 39280 divisible by 7?
  8. 8.Is 34835 divisible by 5?
  9. 9.Is 672 divisible by 4?
  10. 10.Is 26131 divisible by 6?
  11. 11.Is 12588 divisible by 4?
  12. 12.Is 47256 divisible by 8?
  13. 13.Is 73558 divisible by 18?
  14. 14.Is 13737 divisible by 8?
  15. 15.Is 107336 divisible by 29?
  16. 16.Is 9145 divisible by 2?
  17. 17.Is 78048 divisible by 12?
  18. 18.Is 35807 divisible by 30?
  19. 19.Is 33644 divisible by 13?
  20. 20.Is 9925 divisible by 2?
  21. 21.Is 8643 divisible by 3?
  22. 22.Is 156456 divisible by 24?
  23. 23.Is 91954 divisible by 19?
  24. 24.Is 39100 divisible by 23?
  25. 25.Is 11386 divisible by 11?
  26. 26.Is 140790 divisible by 30?
  27. 27.Is 197365 divisible by 30?
  28. 28.Is 16880 divisible by 7?
  29. 29.Is 33353 divisible by 10?
  30. 30.Is 36768 divisible by 12?
  31. 31.Is 70154 divisible by 20?
  32. 32.Is 7970 divisible by 10?
  33. 33.Is 6855 divisible by 19?
  34. 34.Is 16023 divisible by 3?
  35. 35.Is 18657 divisible by 5?
  36. 36.Is 136830 divisible by 30?
  37. 37.Is 7119 divisible by 7?
  38. 38.Is 155823 divisible by 24?
  39. 39.Is 43320 divisible by 7?
  40. 40.Is 16307 divisible by 23?

Answer key

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

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