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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 53 · 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 81300 divisible by 30?
  2. 2.Is 1470 divisible by 30?
  3. 3.Is 4334 divisible by 4?
  4. 4.Is 27414 divisible by 18?
  5. 5.Is 11271 divisible by 2?
  6. 6.Is 87180 divisible by 20?
  7. 7.Is 27368 divisible by 7?
  8. 8.Is 9316 divisible by 17?
  9. 9.Is 102842 divisible by 20?
  10. 10.Is 2466 divisible by 9?
  11. 11.Is 10712 divisible by 2?
  12. 12.Is 38404 divisible by 9?
  13. 13.Is 34818 divisible by 6?
  14. 14.Is 100540 divisible by 15?
  15. 15.Is 44660 divisible by 7?
  16. 16.Is 67137 divisible by 29?
  17. 17.Is 39900 divisible by 12?
  18. 18.Is 44995 divisible by 10?
  19. 19.Is 54036 divisible by 19?
  20. 20.Is 62985 divisible by 15?
  21. 21.Is 41076 divisible by 15?
  22. 22.Is 40456 divisible by 13?
  23. 23.Is 154773 divisible by 23?
  24. 24.Is 76442 divisible by 17?
  25. 25.Is 13644 divisible by 5?
  26. 26.Is 16740 divisible by 18?
  27. 27.Is 101858 divisible by 30?
  28. 28.Is 22970 divisible by 10?
  29. 29.Is 117960 divisible by 24?
  30. 30.Is 22824 divisible by 6?
  31. 31.Is 10840 divisible by 3?
  32. 32.Is 7326 divisible by 18?
  33. 33.Is 27642 divisible by 6?
  34. 34.Is 17610 divisible by 30?
  35. 35.Is 18440 divisible by 20?
  36. 36.Is 10083 divisible by 2?
  37. 37.Is 155616 divisible by 24?
  38. 38.Is 15130 divisible by 10?
  39. 39.Is 8597 divisible by 4?
  40. 40.Is 29864 divisible by 20?

Answer key

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

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