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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 153 · 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 32940 divisible by 15?
  2. 2.Is 22742 divisible by 13?
  3. 3.Is 27090 divisible by 5?
  4. 4.Is 30225 divisible by 5?
  5. 5.Is 70571 divisible by 20?
  6. 6.Is 92302 divisible by 19?
  7. 7.Is 67566 divisible by 10?
  8. 8.Is 95124 divisible by 19?
  9. 9.Is 11576 divisible by 8?
  10. 10.Is 909 divisible by 3?
  11. 11.Is 135906 divisible by 30?
  12. 12.Is 82410 divisible by 13?
  13. 13.Is 14370 divisible by 3?
  14. 14.Is 1954 divisible by 11?
  15. 15.Is 59136 divisible by 11?
  16. 16.Is 46990 divisible by 17?
  17. 17.Is 20932 divisible by 6?
  18. 18.Is 38460 divisible by 12?
  19. 19.Is 33192 divisible by 12?
  20. 20.Is 93528 divisible by 18?
  21. 21.Is 8244 divisible by 7?
  22. 22.Is 41132 divisible by 7?
  23. 23.Is 43928 divisible by 9?
  24. 24.Is 34495 divisible by 10?
  25. 25.Is 12075 divisible by 23?
  26. 26.Is 14080 divisible by 5?
  27. 27.Is 77704 divisible by 20?
  28. 28.Is 62478 divisible by 19?
  29. 29.Is 144369 divisible by 29?
  30. 30.Is 39440 divisible by 29?
  31. 31.Is 148440 divisible by 24?
  32. 32.Is 51421 divisible by 30?
  33. 33.Is 24192 divisible by 7?
  34. 34.Is 1582 divisible by 7?
  35. 35.Is 17360 divisible by 7?
  36. 36.Is 2795 divisible by 7?
  37. 37.Is 12740 divisible by 2?
  38. 38.Is 1104 divisible by 3?
  39. 39.Is 7290 divisible by 5?
  40. 40.Is 4165 divisible by 5?

Answer key

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

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