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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 341 · 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 26820 divisible by 9?
  2. 2.Is 103300 divisible by 20?
  3. 3.Is 98481 divisible by 15?
  4. 4.Is 5915 divisible by 10?
  5. 5.Is 12141 divisible by 6?
  6. 6.Is 23714 divisible by 12?
  7. 7.Is 48126 divisible by 18?
  8. 8.Is 13351 divisible by 7?
  9. 9.Is 8057 divisible by 12?
  10. 10.Is 6450 divisible by 5?
  11. 11.Is 42792 divisible by 10?
  12. 12.Is 69822 divisible by 18?
  13. 13.Is 16307 divisible by 18?
  14. 14.Is 6966 divisible by 11?
  15. 15.Is 20317 divisible by 30?
  16. 16.Is 1948 divisible by 2?
  17. 17.Is 66688 divisible by 29?
  18. 18.Is 7222 divisible by 7?
  19. 19.Is 30517 divisible by 6?
  20. 20.Is 16116 divisible by 6?
  21. 21.Is 36841 divisible by 7?
  22. 22.Is 4374 divisible by 2?
  23. 23.Is 39458 divisible by 6?
  24. 24.Is 101618 divisible by 29?
  25. 25.Is 12712 divisible by 7?
  26. 26.Is 61170 divisible by 30?
  27. 27.Is 20088 divisible by 3?
  28. 28.Is 158969 divisible by 24?
  29. 29.Is 12308 divisible by 17?
  30. 30.Is 37463 divisible by 11?
  31. 31.Is 17153 divisible by 11?
  32. 32.Is 11076 divisible by 12?
  33. 33.Is 52983 divisible by 9?
  34. 34.Is 25698 divisible by 6?
  35. 35.Is 106841 divisible by 20?
  36. 36.Is 17738 divisible by 7?
  37. 37.Is 20202 divisible by 15?
  38. 38.Is 75213 divisible by 23?
  39. 39.Is 17406 divisible by 4?
  40. 40.Is 107030 divisible by 18?

Answer key

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

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