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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 291 · 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 9168 divisible by 6?
  2. 2.Is 20787 divisible by 3?
  3. 3.Is 20592 divisible by 11?
  4. 4.Is 64193 divisible by 18?
  5. 5.Is 17571 divisible by 13?
  6. 6.Is 20472 divisible by 24?
  7. 7.Is 836 divisible by 2?
  8. 8.Is 52549 divisible by 11?
  9. 9.Is 103696 divisible by 15?
  10. 10.Is 202981 divisible by 29?
  11. 11.Is 12384 divisible by 12?
  12. 12.Is 5558 divisible by 2?
  13. 13.Is 25542 divisible by 6?
  14. 14.Is 75324 divisible by 17?
  15. 15.Is 118260 divisible by 20?
  16. 16.Is 77038 divisible by 13?
  17. 17.Is 9536 divisible by 7?
  18. 18.Is 48590 divisible by 10?
  19. 19.Is 25224 divisible by 24?
  20. 20.Is 7334 divisible by 15?
  21. 21.Is 44292 divisible by 29?
  22. 22.Is 150174 divisible by 30?
  23. 23.Is 5707 divisible by 13?
  24. 24.Is 70830 divisible by 30?
  25. 25.Is 32112 divisible by 20?
  26. 26.Is 158 divisible by 7?
  27. 27.Is 5551 divisible by 7?
  28. 28.Is 55512 divisible by 8?
  29. 29.Is 5103 divisible by 5?
  30. 30.Is 12030 divisible by 2?
  31. 31.Is 20860 divisible by 20?
  32. 32.Is 60008 divisible by 24?
  33. 33.Is 37158 divisible by 6?
  34. 34.Is 60215 divisible by 12?
  35. 35.Is 60447 divisible by 18?
  36. 36.Is 10519 divisible by 3?
  37. 37.Is 38598 divisible by 6?
  38. 38.Is 5831 divisible by 9?
  39. 39.Is 82206 divisible by 15?
  40. 40.Is 39312 divisible by 18?

Answer key

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

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