← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 164 · 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.How many factors does 45 have?
  2. 2.How many factors does 13 have?
  3. 3.How many factors does 59 have?
  4. 4.How many factors does 24 have?
  5. 5.How many factors does 89 have?
  6. 6.How many factors does 22 have?
  7. 7.How many factors does 97 have?
  8. 8.What is the smallest number you must take away from 621 so that it divides exactly by 8?
  9. 9.How many factors does 37 have?
  10. 10.What is the smallest number you must add to 122 so that it divides exactly by 8?
  11. 11.What is the smallest number you must take away from 268 so that it divides exactly by 8?
  12. 12.How many factors does 80 have?
  13. 13.What is the smallest number you must add to 779 so that it divides exactly by 7?
  14. 14.What is the smallest number you must add to 944 so that it divides exactly by 9?
  15. 15.How many factors does 83 have?
  16. 16.How many factors does 17 have?
  17. 17.How many factors does 30 have?
  18. 18.How many factors does 78 have?
  19. 19.What is the smallest number you must add to 169 so that it divides exactly by 6?
  20. 20.What is the smallest number you must add to 571 so that it divides exactly by 12?
  21. 21.How many factors does 32 have?
  22. 22.What is the smallest number you must add to 384 so that it divides exactly by 13?
  23. 23.How many factors does 79 have?
  24. 24.Which of these numbers divides exactly by 11? (a) 4731 (b) 4144 (c) 2027 (d) 2508
  25. 25.What is the smallest number you must add to 292 so that it divides exactly by 11?
  26. 26.What is the smallest number you must add to 215 so that it divides exactly by 12?
  27. 27.What is the smallest number you must take away from 923 so that it divides exactly by 3?
  28. 28.What is the smallest number you must take away from 244 so that it divides exactly by 13?
  29. 29.What is the smallest number you must take away from 187 so that it divides exactly by 7?
  30. 30.What is the smallest number you must add to 906 so that it divides exactly by 13?
  31. 31.What is the smallest number you must take away from 795 so that it divides exactly by 8?
  32. 32.How many factors does 16 have?
  33. 33.Which of these numbers divides exactly by 6? (a) 8692 (b) 3732 (c) 1001 (d) 8728
  34. 34.Which of these numbers divides exactly by 6? (a) 1099 (b) 3995 (c) 9012 (d) 6110
  35. 35.How many factors does 91 have?
  36. 36.What is the smallest number you must add to 463 so that it divides exactly by 13?
  37. 37.What is the smallest number you must take away from 233 so that it divides exactly by 13?
  38. 38.Which of these numbers divides exactly by 6? (a) 4752 (b) 2270 (c) 6614 (d) 8410
  39. 39.How many factors does 76 have?
  40. 40.What is the smallest number you must add to 325 so that it divides exactly by 3?

Answer key

  1. 6
  2. 2
  3. 2
  4. 8
  5. 2
  6. 4
  7. 2
  8. 5
  9. 2
  10. 6
  11. 4
  12. 10
  13. 5
  14. 1
  15. 2
  16. 2
  17. 8
  18. 8
  19. 5
  20. 5
  21. 6
  22. 6
  23. 2
  24. 2508
  25. 5
  26. 1
  27. 2
  28. 10
  29. 5
  30. 4
  31. 3
  32. 5
  33. 3732
  34. 9012
  35. 4
  36. 5
  37. 12
  38. 4752
  39. 6
  40. 2

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