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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 872 · 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 13136 divisible by 30?
  2. 2.Is 14704 divisible by 3?
  3. 3.Is 2400 divisible by 5?
  4. 4.Is 115421 divisible by 24?
  5. 5.Is 111588 divisible by 17?
  6. 6.Is 50293 divisible by 19?
  7. 7.Is 11706 divisible by 19?
  8. 8.Is 146911 divisible by 30?
  9. 9.Is 36217 divisible by 10?
  10. 10.Is 103107 divisible by 18?
  11. 11.Is 20396 divisible by 24?
  12. 12.Is 36580 divisible by 24?
  13. 13.Is 81562 divisible by 13?
  14. 14.Is 41236 divisible by 6?
  15. 15.Is 9634 divisible by 3?
  16. 16.Is 21165 divisible by 11?
  17. 17.Is 12852 divisible by 7?
  18. 18.Is 63630 divisible by 15?
  19. 19.Is 87000 divisible by 15?
  20. 20.Is 89670 divisible by 17?
  21. 21.Is 10625 divisible by 10?
  22. 22.Is 78195 divisible by 15?
  23. 23.Is 57259 divisible by 15?
  24. 24.Is 124350 divisible by 24?
  25. 25.Is 33710 divisible by 5?
  26. 26.Is 14616 divisible by 24?
  27. 27.Is 89242 divisible by 20?
  28. 28.Is 111103 divisible by 17?
  29. 29.Is 137432 divisible by 20?
  30. 30.Is 5240 divisible by 20?
  31. 31.Is 33049 divisible by 18?
  32. 32.Is 13062 divisible by 7?
  33. 33.Is 6402 divisible by 3?
  34. 34.Is 11541 divisible by 6?
  35. 35.Is 19548 divisible by 8?
  36. 36.Is 19007 divisible by 6?
  37. 37.Is 12840 divisible by 5?
  38. 38.Is 9755 divisible by 5?
  39. 39.Is 11825 divisible by 5?
  40. 40.Is 7576 divisible by 2?

Answer key

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

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