← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 264 · 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 add to 541 so that it divides exactly by 4?
  2. 2.How many factors does 32 have?
  3. 3.What is the smallest number you must take away from 744 so that it divides exactly by 7?
  4. 4.How many factors does 46 have?
  5. 5.Which of these numbers divides exactly by 3? (a) 2997 (b) 9178 (c) 4717 (d) 1435
  6. 6.Which of these numbers divides exactly by 3? (a) 3151 (b) 1299 (c) 9629 (d) 3133
  7. 7.What is the smallest number you must add to 762 so that it divides exactly by 13?
  8. 8.What is the smallest number you must take away from 353 so that it divides exactly by 8?
  9. 9.Which of these numbers divides exactly by 9? (a) 7164 (b) 1843 (c) 9241 (d) 6313
  10. 10.What is the smallest number you must add to 177 so that it divides exactly by 8?
  11. 11.What is the smallest number you must add to 982 so that it divides exactly by 13?
  12. 12.Which of these numbers divides exactly by 4? (a) 4292 (b) 2365 (c) 9831 (d) 4957
  13. 13.How many factors does 59 have?
  14. 14.How many factors does 55 have?
  15. 15.What is the smallest number you must add to 419 so that it divides exactly by 6?
  16. 16.Which of these numbers divides exactly by 3? (a) 7829 (b) 8431 (c) 4749 (d) 3622
  17. 17.How many factors does 63 have?
  18. 18.How many factors does 84 have?
  19. 19.How many factors does 47 have?
  20. 20.Which of these numbers divides exactly by 8? (a) 7359 (b) 8973 (c) 9540 (d) 9120
  21. 21.What is the smallest number you must take away from 678 so that it divides exactly by 11?
  22. 22.How many factors does 40 have?
  23. 23.What is the smallest number you must take away from 194 so that it divides exactly by 8?
  24. 24.What is the smallest number you must add to 950 so that it divides exactly by 13?
  25. 25.What is the smallest number you must add to 109 so that it divides exactly by 13?
  26. 26.How many factors does 99 have?
  27. 27.How many factors does 100 have?
  28. 28.Which of these numbers divides exactly by 11? (a) 8387 (b) 2303 (c) 7700 (d) 8276
  29. 29.What is the smallest number you must take away from 471 so that it divides exactly by 9?
  30. 30.What is the smallest number you must take away from 953 so that it divides exactly by 7?
  31. 31.How many factors does 72 have?
  32. 32.What is the smallest number you must take away from 255 so that it divides exactly by 9?
  33. 33.Which of these numbers divides exactly by 8? (a) 6548 (b) 9518 (c) 8905 (d) 1544
  34. 34.How many factors does 64 have?
  35. 35.How many factors does 35 have?
  36. 36.How many factors does 31 have?
  37. 37.What is the smallest number you must take away from 791 so that it divides exactly by 11?
  38. 38.What is the smallest number you must take away from 614 so that it divides exactly by 7?
  39. 39.What is the smallest number you must add to 422 so that it divides exactly by 3?
  40. 40.How many factors does 58 have?

Answer key

  1. 3
  2. 6
  3. 2
  4. 4
  5. 2997
  6. 1299
  7. 5
  8. 1
  9. 7164
  10. 7
  11. 6
  12. 4292
  13. 2
  14. 4
  15. 1
  16. 4749
  17. 6
  18. 12
  19. 2
  20. 9120
  21. 7
  22. 8
  23. 2
  24. 12
  25. 8
  26. 6
  27. 9
  28. 7700
  29. 3
  30. 1
  31. 12
  32. 3
  33. 1544
  34. 7
  35. 4
  36. 2
  37. 10
  38. 5
  39. 1
  40. 4

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