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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 35 · 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 63002 divisible by 9?
  2. 2.Is 43942 divisible by 19?
  3. 3.Is 49752 divisible by 29?
  4. 4.Is 99054 divisible by 24?
  5. 5.Is 64104 divisible by 12?
  6. 6.Is 60676 divisible by 11?
  7. 7.Is 42279 divisible by 7?
  8. 8.Is 24080 divisible by 5?
  9. 9.Is 1927 divisible by 7?
  10. 10.Is 122601 divisible by 29?
  11. 11.Is 12119 divisible by 4?
  12. 12.Is 48946 divisible by 10?
  13. 13.Is 29331 divisible by 24?
  14. 14.Is 1342 divisible by 5?
  15. 15.Is 44689 divisible by 7?
  16. 16.Is 42582 divisible by 9?
  17. 17.Is 19603 divisible by 4?
  18. 18.Is 142646 divisible by 23?
  19. 19.Is 14073 divisible by 3?
  20. 20.Is 28234 divisible by 30?
  21. 21.Is 31885 divisible by 6?
  22. 22.Is 125309 divisible by 29?
  23. 23.Is 39115 divisible by 24?
  24. 24.Is 1703 divisible by 6?
  25. 25.Is 80303 divisible by 13?
  26. 26.Is 6910 divisible by 2?
  27. 27.Is 5919 divisible by 2?
  28. 28.Is 59891 divisible by 13?
  29. 29.Is 22302 divisible by 9?
  30. 30.Is 42864 divisible by 8?
  31. 31.Is 24321 divisible by 7?
  32. 32.Is 4659 divisible by 3?
  33. 33.Is 32904 divisible by 18?
  34. 34.Is 25940 divisible by 10?
  35. 35.Is 6859 divisible by 19?
  36. 36.Is 71828 divisible by 11?
  37. 37.Is 78240 divisible by 15?
  38. 38.Is 3204 divisible by 2?
  39. 39.Is 52992 divisible by 12?
  40. 40.Is 57523 divisible by 17?

Answer key

  1. no
  2. no
  3. no
  4. no
  5. yes
  6. yes
  7. no
  8. yes
  9. no
  10. no
  11. no
  12. no
  13. no
  14. no
  15. no
  16. no
  17. no
  18. yes
  19. yes
  20. no
  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. yes
  40. no

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