← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 122 · 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.What is the smallest number you must take away from 775 so that it divides exactly by 4?
  2. 2.Which of these numbers divides exactly by 9? (a) 5615 (b) 6039 (c) 4360 (d) 1165
  3. 3.What is the smallest number you must take away from 908 so that it divides exactly by 12?
  4. 4.How many factors does 15 have?
  5. 5.What is the smallest number you must add to 431 so that it divides exactly by 9?
  6. 6.What is the smallest number you must take away from 878 so that it divides exactly by 6?
  7. 7.How many factors does 50 have?
  8. 8.What is the smallest number you must add to 952 so that it divides exactly by 11?
  9. 9.How many factors does 71 have?
  10. 10.What is the smallest number you must add to 286 so that it divides exactly by 8?
  11. 11.What is the smallest number you must add to 112 so that it divides exactly by 9?
  12. 12.How many factors does 30 have?
  13. 13.Which of these numbers divides exactly by 3? (a) 1875 (b) 2491 (c) 1837 (d) 3875
  14. 14.What is the smallest number you must add to 226 so that it divides exactly by 8?
  15. 15.What is the smallest number you must take away from 209 so that it divides exactly by 13?
  16. 16.How many factors does 47 have?
  17. 17.What is the smallest number you must add to 334 so that it divides exactly by 9?
  18. 18.What is the smallest number you must add to 176 so that it divides exactly by 9?
  19. 19.What is the smallest number you must take away from 185 so that it divides exactly by 4?
  20. 20.How many factors does 18 have?
  21. 21.Which of these numbers divides exactly by 6? (a) 7542 (b) 1030 (c) 9305 (d) 6040
  22. 22.How many factors does 37 have?
  23. 23.What is the smallest number you must take away from 709 so that it divides exactly by 8?
  24. 24.How many factors does 77 have?
  25. 25.How many factors does 25 have?
  26. 26.What is the smallest number you must take away from 791 so that it divides exactly by 6?
  27. 27.How many factors does 48 have?
  28. 28.What is the smallest number you must take away from 152 so that it divides exactly by 6?
  29. 29.How many factors does 94 have?
  30. 30.What is the smallest number you must take away from 663 so that it divides exactly by 7?
  31. 31.What is the smallest number you must add to 502 so that it divides exactly by 3?
  32. 32.How many factors does 29 have?
  33. 33.How many factors does 36 have?
  34. 34.What is the smallest number you must take away from 470 so that it divides exactly by 13?
  35. 35.How many factors does 90 have?
  36. 36.Which of these numbers divides exactly by 9? (a) 3096 (b) 7356 (c) 1417 (d) 4395
  37. 37.What is the smallest number you must add to 366 so that it divides exactly by 12?
  38. 38.What is the smallest number you must take away from 849 so that it divides exactly by 11?
  39. 39.What is the smallest number you must take away from 943 so that it divides exactly by 9?
  40. 40.What is the smallest number you must add to 202 so that it divides exactly by 7?

Answer key

  1. 3
  2. 6039
  3. 8
  4. 4
  5. 1
  6. 2
  7. 6
  8. 5
  9. 2
  10. 2
  11. 5
  12. 8
  13. 1875
  14. 6
  15. 1
  16. 2
  17. 8
  18. 4
  19. 1
  20. 6
  21. 7542
  22. 2
  23. 5
  24. 4
  25. 3
  26. 5
  27. 10
  28. 2
  29. 4
  30. 5
  31. 2
  32. 2
  33. 9
  34. 2
  35. 12
  36. 3096
  37. 6
  38. 2
  39. 7
  40. 1

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