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Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 330 · 40 questions
TalentJR

The method (Rules and powers): By 3 or 9: the digit sum divides by 3 or 9. By 4: the last two digits. By 8: the last three digits. By 6: even and divisible by 3. By 11: the sums of alternate digits are equal or differ by 11. Number of factors: write n = p^a × q^b …, then the count is (a + 1) × (b + 1) × …. To make n divisible by d: divide, then add (d − remainder) or take away the remainder.

NameDateTime takenScore ___ / 40
  1. 1.Which of these numbers divides exactly by 8? (a) 4746 (b) 4120 (c) 5468 (d) 2836
  2. 2.Which of these numbers divides exactly by 3? (a) 7324 (b) 6752 (c) 7110 (d) 2648
  3. 3.How many factors does 26 have?
  4. 4.What is the smallest number you must take away from 443 so that it divides exactly by 11?
  5. 5.How many factors does 80 have?
  6. 6.How many factors does 68 have?
  7. 7.How many factors does 47 have?
  8. 8.What is the smallest number you must add to 905 so that it divides exactly by 4?
  9. 9.What is the smallest number you must add to 556 so that it divides exactly by 13?
  10. 10.What is the smallest number you must take away from 368 so that it divides exactly by 11?
  11. 11.Which of these numbers divides exactly by 3? (a) 5018 (b) 7969 (c) 1697 (d) 7878
  12. 12.Which of these numbers divides exactly by 3? (a) 1897 (b) 6165 (c) 3829 (d) 4174
  13. 13.How many factors does 100 have?
  14. 14.What is the smallest number you must add to 592 so that it divides exactly by 12?
  15. 15.What is the smallest number you must add to 863 so that it divides exactly by 8?
  16. 16.What is the smallest number you must take away from 447 so that it divides exactly by 9?
  17. 17.What is the smallest number you must add to 351 so that it divides exactly by 8?
  18. 18.Which of these numbers divides exactly by 6? (a) 2678 (b) 2450 (c) 8159 (d) 2634
  19. 19.Which of these numbers divides exactly by 8? (a) 7802 (b) 6764 (c) 4188 (d) 5704
  20. 20.How many factors does 95 have?
  21. 21.What is the smallest number you must take away from 691 so that it divides exactly by 6?
  22. 22.Which of these numbers divides exactly by 9? (a) 1185 (b) 1589 (c) 2313 (d) 4551
  23. 23.What is the smallest number you must take away from 680 so that it divides exactly by 11?
  24. 24.How many factors does 14 have?
  25. 25.What is the smallest number you must add to 151 so that it divides exactly by 6?
  26. 26.What is the smallest number you must take away from 349 so that it divides exactly by 8?
  27. 27.What is the smallest number you must add to 968 so that it divides exactly by 3?
  28. 28.How many factors does 19 have?
  29. 29.Which of these numbers divides exactly by 3? (a) 3954 (b) 4214 (c) 1028 (d) 2338
  30. 30.How many factors does 15 have?
  31. 31.What is the smallest number you must add to 196 so that it divides exactly by 8?
  32. 32.How many factors does 97 have?
  33. 33.How many factors does 90 have?
  34. 34.What is the smallest number you must take away from 255 so that it divides exactly by 12?
  35. 35.How many factors does 30 have?
  36. 36.How many factors does 25 have?
  37. 37.What is the smallest number you must add to 626 so that it divides exactly by 7?
  38. 38.What is the smallest number you must add to 236 so that it divides exactly by 8?
  39. 39.How many factors does 75 have?
  40. 40.Which of these numbers divides exactly by 8? (a) 9986 (b) 8611 (c) 6936 (d) 3547

Answer key

  1. 4120
  2. 7110
  3. 4
  4. 3
  5. 10
  6. 6
  7. 2
  8. 3
  9. 3
  10. 5
  11. 7878
  12. 6165
  13. 9
  14. 8
  15. 1
  16. 6
  17. 1
  18. 2634
  19. 5704
  20. 4
  21. 1
  22. 2313
  23. 9
  24. 4
  25. 5
  26. 5
  27. 1
  28. 2
  29. 3954
  30. 4
  31. 4
  32. 2
  33. 12
  34. 3
  35. 8
  36. 3
  37. 4
  38. 4
  39. 6
  40. 6936

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