← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 200 · 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) 9176 (b) 7347 (c) 2275 (d) 5100
  2. 2.What is the smallest number you must take away from 335 so that it divides exactly by 9?
  3. 3.Which of these numbers divides exactly by 6? (a) 9567 (b) 8894 (c) 2991 (d) 5226
  4. 4.Which of these numbers divides exactly by 9? (a) 7619 (b) 5607 (c) 6299 (d) 2533
  5. 5.What is the smallest number you must take away from 790 so that it divides exactly by 6?
  6. 6.Which of these numbers divides exactly by 8? (a) 5303 (b) 8283 (c) 6257 (d) 4152
  7. 7.What is the smallest number you must take away from 490 so that it divides exactly by 11?
  8. 8.How many factors does 81 have?
  9. 9.How many factors does 100 have?
  10. 10.What is the smallest number you must add to 914 so that it divides exactly by 6?
  11. 11.What is the smallest number you must take away from 946 so that it divides exactly by 4?
  12. 12.How many factors does 24 have?
  13. 13.What is the smallest number you must take away from 372 so that it divides exactly by 13?
  14. 14.What is the smallest number you must add to 308 so that it divides exactly by 13?
  15. 15.How many factors does 49 have?
  16. 16.What is the smallest number you must add to 968 so that it divides exactly by 3?
  17. 17.What is the smallest number you must take away from 289 so that it divides exactly by 9?
  18. 18.How many factors does 52 have?
  19. 19.Which of these numbers divides exactly by 9? (a) 8567 (b) 5327 (c) 6143 (d) 8937
  20. 20.What is the smallest number you must take away from 169 so that it divides exactly by 3?
  21. 21.How many factors does 70 have?
  22. 22.How many factors does 71 have?
  23. 23.What is the smallest number you must take away from 655 so that it divides exactly by 9?
  24. 24.Which of these numbers divides exactly by 3? (a) 5572 (b) 7127 (c) 7653 (d) 8114
  25. 25.Which of these numbers divides exactly by 11? (a) 7820 (b) 9768 (c) 1851 (d) 5448
  26. 26.Which of these numbers divides exactly by 9? (a) 2824 (b) 5967 (c) 6618 (d) 1507
  27. 27.Which of these numbers divides exactly by 3? (a) 2772 (b) 4840 (c) 4726 (d) 2360
  28. 28.How many factors does 28 have?
  29. 29.How many factors does 66 have?
  30. 30.What is the smallest number you must add to 265 so that it divides exactly by 6?
  31. 31.What is the smallest number you must add to 415 so that it divides exactly by 13?
  32. 32.How many factors does 48 have?
  33. 33.How many factors does 38 have?
  34. 34.What is the smallest number you must take away from 887 so that it divides exactly by 12?
  35. 35.How many factors does 41 have?
  36. 36.What is the smallest number you must add to 593 so that it divides exactly by 4?
  37. 37.What is the smallest number you must take away from 733 so that it divides exactly by 13?
  38. 38.What is the smallest number you must add to 269 so that it divides exactly by 3?
  39. 39.How many factors does 82 have?
  40. 40.Which of these numbers divides exactly by 9? (a) 9641 (b) 9864 (c) 1837 (d) 1076

Answer key

  1. 9176
  2. 2
  3. 5226
  4. 5607
  5. 4
  6. 4152
  7. 6
  8. 5
  9. 9
  10. 4
  11. 2
  12. 8
  13. 8
  14. 4
  15. 3
  16. 1
  17. 1
  18. 6
  19. 8937
  20. 1
  21. 8
  22. 2
  23. 7
  24. 7653
  25. 9768
  26. 5967
  27. 2772
  28. 6
  29. 8
  30. 5
  31. 1
  32. 10
  33. 4
  34. 11
  35. 2
  36. 3
  37. 5
  38. 1
  39. 4
  40. 9864

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