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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 577 · 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 2268 divisible by 2?
  2. 2.Is 18625 divisible by 6?
  3. 3.Is 16523 divisible by 13?
  4. 4.Is 9475 divisible by 5?
  5. 5.Is 38258 divisible by 11?
  6. 6.Is 66867 divisible by 12?
  7. 7.Is 16518 divisible by 6?
  8. 8.Is 20063 divisible by 8?
  9. 9.Is 11309 divisible by 3?
  10. 10.Is 10622 divisible by 15?
  11. 11.Is 1529 divisible by 2?
  12. 12.Is 2001 divisible by 10?
  13. 13.Is 142278 divisible by 30?
  14. 14.Is 8028 divisible by 4?
  15. 15.Is 22568 divisible by 9?
  16. 16.Is 384 divisible by 4?
  17. 17.Is 32280 divisible by 20?
  18. 18.Is 7139 divisible by 2?
  19. 19.Is 34941 divisible by 23?
  20. 20.Is 2386 divisible by 2?
  21. 21.Is 36759 divisible by 15?
  22. 22.Is 119401 divisible by 19?
  23. 23.Is 76511 divisible by 12?
  24. 24.Is 3363 divisible by 19?
  25. 25.Is 7248 divisible by 3?
  26. 26.Is 32502 divisible by 15?
  27. 27.Is 19320 divisible by 20?
  28. 28.Is 44126 divisible by 9?
  29. 29.Is 24282 divisible by 7?
  30. 30.Is 1311 divisible by 19?
  31. 31.Is 46032 divisible by 24?
  32. 32.Is 24824 divisible by 29?
  33. 33.Is 8767 divisible by 7?
  34. 34.Is 7673 divisible by 2?
  35. 35.Is 11055 divisible by 3?
  36. 36.Is 20072 divisible by 6?
  37. 37.Is 16534 divisible by 7?
  38. 38.Is 15540 divisible by 4?
  39. 39.Is 11489 divisible by 3?
  40. 40.Is 10818 divisible by 20?

Answer key

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

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