← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 178 · 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 4? (a) 2643 (b) 3431 (c) 7486 (d) 7420
  2. 2.What is the smallest number you must add to 814 so that it divides exactly by 8?
  3. 3.What is the smallest number you must add to 742 so that it divides exactly by 3?
  4. 4.What is the smallest number you must add to 121 so that it divides exactly by 13?
  5. 5.Which of these numbers divides exactly by 11? (a) 5689 (b) 5359 (c) 2739 (d) 6170
  6. 6.How many factors does 24 have?
  7. 7.How many factors does 37 have?
  8. 8.What is the smallest number you must add to 330 so that it divides exactly by 9?
  9. 9.How many factors does 72 have?
  10. 10.How many factors does 23 have?
  11. 11.What is the smallest number you must add to 577 so that it divides exactly by 8?
  12. 12.How many factors does 33 have?
  13. 13.Which of these numbers divides exactly by 4? (a) 4334 (b) 9180 (c) 2771 (d) 1015
  14. 14.What is the smallest number you must take away from 740 so that it divides exactly by 7?
  15. 15.Which of these numbers divides exactly by 11? (a) 3039 (b) 4121 (c) 4365 (d) 5797
  16. 16.How many factors does 57 have?
  17. 17.Which of these numbers divides exactly by 11? (a) 3256 (b) 3544 (c) 5873 (d) 3717
  18. 18.Which of these numbers divides exactly by 3? (a) 6474 (b) 1210 (c) 6226 (d) 4546
  19. 19.How many factors does 32 have?
  20. 20.How many factors does 88 have?
  21. 21.What is the smallest number you must add to 782 so that it divides exactly by 6?
  22. 22.How many factors does 87 have?
  23. 23.Which of these numbers divides exactly by 4? (a) 2066 (b) 9056 (c) 6185 (d) 7515
  24. 24.How many factors does 68 have?
  25. 25.What is the smallest number you must add to 133 so that it divides exactly by 11?
  26. 26.What is the smallest number you must add to 255 so that it divides exactly by 13?
  27. 27.Which of these numbers divides exactly by 4? (a) 5487 (b) 6932 (c) 8301 (d) 7295
  28. 28.How many factors does 91 have?
  29. 29.What is the smallest number you must take away from 154 so that it divides exactly by 9?
  30. 30.What is the smallest number you must take away from 927 so that it divides exactly by 7?
  31. 31.How many factors does 29 have?
  32. 32.Which of these numbers divides exactly by 8? (a) 6041 (b) 9960 (c) 7678 (d) 7637
  33. 33.What is the smallest number you must add to 238 so that it divides exactly by 8?
  34. 34.What is the smallest number you must take away from 907 so that it divides exactly by 12?
  35. 35.What is the smallest number you must add to 101 so that it divides exactly by 6?
  36. 36.What is the smallest number you must add to 268 so that it divides exactly by 11?
  37. 37.How many factors does 55 have?
  38. 38.How many factors does 86 have?
  39. 39.What is the smallest number you must add to 479 so that it divides exactly by 9?
  40. 40.How many factors does 42 have?

Answer key

  1. 7420
  2. 2
  3. 2
  4. 9
  5. 2739
  6. 8
  7. 2
  8. 3
  9. 12
  10. 2
  11. 7
  12. 4
  13. 9180
  14. 5
  15. 5797
  16. 4
  17. 3256
  18. 6474
  19. 6
  20. 8
  21. 4
  22. 4
  23. 9056
  24. 6
  25. 10
  26. 5
  27. 6932
  28. 4
  29. 1
  30. 3
  31. 2
  32. 9960
  33. 2
  34. 7
  35. 1
  36. 7
  37. 4
  38. 4
  39. 7
  40. 8

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude