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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 994 · 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 26572 divisible by 10?
  2. 2.Is 4895 divisible by 5?
  3. 3.Is 104790 divisible by 15?
  4. 4.Is 95510 divisible by 20?
  5. 5.Is 29897 divisible by 5?
  6. 6.Is 154425 divisible by 29?
  7. 7.Is 27948 divisible by 4?
  8. 8.Is 124245 divisible by 20?
  9. 9.Is 7576 divisible by 8?
  10. 10.Is 2543 divisible by 8?
  11. 11.Is 18960 divisible by 10?
  12. 12.Is 56962 divisible by 13?
  13. 13.Is 62168 divisible by 19?
  14. 14.Is 51191 divisible by 29?
  15. 15.Is 33008 divisible by 8?
  16. 16.Is 4456 divisible by 2?
  17. 17.Is 14190 divisible by 6?
  18. 18.Is 102690 divisible by 18?
  19. 19.Is 8113 divisible by 2?
  20. 20.Is 83170 divisible by 30?
  21. 21.Is 5636 divisible by 7?
  22. 22.Is 28136 divisible by 20?
  23. 23.Is 60422 divisible by 9?
  24. 24.Is 125020 divisible by 19?
  25. 25.Is 60033 divisible by 10?
  26. 26.Is 47545 divisible by 8?
  27. 27.Is 52560 divisible by 10?
  28. 28.Is 131790 divisible by 23?
  29. 29.Is 22503 divisible by 13?
  30. 30.Is 25489 divisible by 5?
  31. 31.Is 90460 divisible by 20?
  32. 32.Is 68110 divisible by 10?
  33. 33.Is 89019 divisible by 15?
  34. 34.Is 28426 divisible by 18?
  35. 35.Is 1535 divisible by 4?
  36. 36.Is 102125 divisible by 19?
  37. 37.Is 106542 divisible by 18?
  38. 38.Is 8052 divisible by 2?
  39. 39.Is 35495 divisible by 29?
  40. 40.Is 18527 divisible by 17?

Answer key

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

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