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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 243 · 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 151920 divisible by 30?
  2. 2.Is 4297 divisible by 11?
  3. 3.Is 30531 divisible by 5?
  4. 4.Is 5843 divisible by 4?
  5. 5.Is 42912 divisible by 11?
  6. 6.Is 9318 divisible by 6?
  7. 7.Is 12157 divisible by 7?
  8. 8.Is 10005 divisible by 3?
  9. 9.Is 116736 divisible by 19?
  10. 10.Is 204939 divisible by 30?
  11. 11.Is 34621 divisible by 6?
  12. 12.Is 54628 divisible by 18?
  13. 13.Is 45707 divisible by 8?
  14. 14.Is 21256 divisible by 7?
  15. 15.Is 48384 divisible by 9?
  16. 16.Is 144300 divisible by 30?
  17. 17.Is 98776 divisible by 20?
  18. 18.Is 34120 divisible by 8?
  19. 19.Is 203125 divisible by 30?
  20. 20.Is 1502 divisible by 3?
  21. 21.Is 137140 divisible by 20?
  22. 22.Is 39387 divisible by 8?
  23. 23.Is 65520 divisible by 24?
  24. 24.Is 22818 divisible by 13?
  25. 25.Is 5283 divisible by 9?
  26. 26.Is 12300 divisible by 5?
  27. 27.Is 18708 divisible by 8?
  28. 28.Is 6440 divisible by 5?
  29. 29.Is 15685 divisible by 4?
  30. 30.Is 32533 divisible by 23?
  31. 31.Is 64699 divisible by 29?
  32. 32.Is 16081 divisible by 3?
  33. 33.Is 57384 divisible by 12?
  34. 34.Is 73754 divisible by 24?
  35. 35.Is 47566 divisible by 9?
  36. 36.Is 18857 divisible by 18?
  37. 37.Is 68563 divisible by 13?
  38. 38.Is 1752 divisible by 12?
  39. 39.Is 32414 divisible by 7?
  40. 40.Is 5279 divisible by 3?

Answer key

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

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