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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 484 · 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 70813 divisible by 19?
  2. 2.Is 19416 divisible by 24?
  3. 3.Is 53199 divisible by 9?
  4. 4.Is 44389 divisible by 18?
  5. 5.Is 36625 divisible by 7?
  6. 6.Is 164736 divisible by 24?
  7. 7.Is 13855 divisible by 17?
  8. 8.Is 48800 divisible by 7?
  9. 9.Is 65829 divisible by 12?
  10. 10.Is 17496 divisible by 12?
  11. 11.Is 17535 divisible by 15?
  12. 12.Is 118760 divisible by 20?
  13. 13.Is 32496 divisible by 8?
  14. 14.Is 13586 divisible by 4?
  15. 15.Is 46123 divisible by 7?
  16. 16.Is 10802 divisible by 11?
  17. 17.Is 79118 divisible by 20?
  18. 18.Is 54602 divisible by 9?
  19. 19.Is 94940 divisible by 15?
  20. 20.Is 1690 divisible by 13?
  21. 21.Is 87539 divisible by 19?
  22. 22.Is 206730 divisible by 30?
  23. 23.Is 12179 divisible by 2?
  24. 24.Is 92304 divisible by 17?
  25. 25.Is 40390 divisible by 15?
  26. 26.Is 2628 divisible by 6?
  27. 27.Is 8280 divisible by 15?
  28. 28.Is 28261 divisible by 15?
  29. 29.Is 94983 divisible by 17?
  30. 30.Is 8348 divisible by 4?
  31. 31.Is 10216 divisible by 3?
  32. 32.Is 12584 divisible by 4?
  33. 33.Is 15450 divisible by 30?
  34. 34.Is 36350 divisible by 10?
  35. 35.Is 21027 divisible by 8?
  36. 36.Is 1419 divisible by 2?
  37. 37.Is 64998 divisible by 13?
  38. 38.Is 125015 divisible by 19?
  39. 39.Is 72043 divisible by 13?
  40. 40.Is 10980 divisible by 4?

Answer key

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

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