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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 833 · 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 34590 divisible by 15?
  2. 2.Is 21425 divisible by 5?
  3. 3.Is 11936 divisible by 3?
  4. 4.Is 14263 divisible by 7?
  5. 5.Is 75660 divisible by 12?
  6. 6.Is 18639 divisible by 8?
  7. 7.Is 76813 divisible by 11?
  8. 8.Is 12025 divisible by 13?
  9. 9.Is 23910 divisible by 5?
  10. 10.Is 541 divisible by 2?
  11. 11.Is 12660 divisible by 4?
  12. 12.Is 92302 divisible by 19?
  13. 13.Is 29310 divisible by 10?
  14. 14.Is 140664 divisible by 24?
  15. 15.Is 4432 divisible by 8?
  16. 16.Is 14897 divisible by 7?
  17. 17.Is 92114 divisible by 19?
  18. 18.Is 24112 divisible by 4?
  19. 19.Is 63809 divisible by 10?
  20. 20.Is 31239 divisible by 9?
  21. 21.Is 68311 divisible by 12?
  22. 22.Is 62880 divisible by 24?
  23. 23.Is 5742 divisible by 4?
  24. 24.Is 8339 divisible by 3?
  25. 25.Is 19987 divisible by 5?
  26. 26.Is 21480 divisible by 8?
  27. 27.Is 26908 divisible by 4?
  28. 28.Is 65690 divisible by 10?
  29. 29.Is 12920 divisible by 19?
  30. 30.Is 145435 divisible by 29?
  31. 31.Is 39653 divisible by 6?
  32. 32.Is 5856 divisible by 24?
  33. 33.Is 17004 divisible by 3?
  34. 34.Is 15586 divisible by 4?
  35. 35.Is 29896 divisible by 10?
  36. 36.Is 130920 divisible by 20?
  37. 37.Is 10412 divisible by 19?
  38. 38.Is 10403 divisible by 4?
  39. 39.Is 65109 divisible by 12?
  40. 40.Is 107505 divisible by 17?

Answer key

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

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