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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 546 · 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 15790 divisible by 3?
  2. 2.Is 17973 divisible by 3?
  3. 3.Is 5940 divisible by 15?
  4. 4.Is 74243 divisible by 17?
  5. 5.Is 116725 divisible by 29?
  6. 6.Is 197074 divisible by 30?
  7. 7.Is 1339 divisible by 3?
  8. 8.Is 9270 divisible by 18?
  9. 9.Is 136603 divisible by 23?
  10. 10.Is 69600 divisible by 10?
  11. 11.Is 39504 divisible by 12?
  12. 12.Is 95070 divisible by 30?
  13. 13.Is 33933 divisible by 11?
  14. 14.Is 63094 divisible by 20?
  15. 15.Is 73784 divisible by 12?
  16. 16.Is 35856 divisible by 9?
  17. 17.Is 23225 divisible by 4?
  18. 18.Is 14465 divisible by 7?
  19. 19.Is 48471 divisible by 8?
  20. 20.Is 12290 divisible by 6?
  21. 21.Is 8460 divisible by 12?
  22. 22.Is 33693 divisible by 20?
  23. 23.Is 110162 divisible by 19?
  24. 24.Is 17628 divisible by 3?
  25. 25.Is 31219 divisible by 11?
  26. 26.Is 38889 divisible by 11?
  27. 27.Is 17550 divisible by 4?
  28. 28.Is 62526 divisible by 23?
  29. 29.Is 59940 divisible by 10?
  30. 30.Is 60690 divisible by 10?
  31. 31.Is 52092 divisible by 18?
  32. 32.Is 6249 divisible by 19?
  33. 33.Is 34794 divisible by 7?
  34. 34.Is 55446 divisible by 8?
  35. 35.Is 11967 divisible by 4?
  36. 36.Is 15897 divisible by 11?
  37. 37.Is 39390 divisible by 7?
  38. 38.Is 6563 divisible by 2?
  39. 39.Is 20704 divisible by 3?
  40. 40.Is 2580 divisible by 30?

Answer key

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

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