← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 299 · 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 681 so that it divides exactly by 8?
  2. 2.Which of these numbers divides exactly by 6? (a) 5536 (b) 4706 (c) 9021 (d) 8154
  3. 3.What is the smallest number you must add to 943 so that it divides exactly by 3?
  4. 4.What is the smallest number you must take away from 815 so that it divides exactly by 9?
  5. 5.How many factors does 30 have?
  6. 6.Which of these numbers divides exactly by 6? (a) 9247 (b) 4590 (c) 1283 (d) 3211
  7. 7.How many factors does 28 have?
  8. 8.What is the smallest number you must take away from 264 so that it divides exactly by 7?
  9. 9.What is the smallest number you must add to 670 so that it divides exactly by 4?
  10. 10.How many factors does 54 have?
  11. 11.What is the smallest number you must take away from 525 so that it divides exactly by 13?
  12. 12.Which of these numbers divides exactly by 4? (a) 9110 (b) 1563 (c) 8001 (d) 1520
  13. 13.What is the smallest number you must add to 893 so that it divides exactly by 3?
  14. 14.What is the smallest number you must take away from 129 so that it divides exactly by 6?
  15. 15.What is the smallest number you must add to 457 so that it divides exactly by 13?
  16. 16.How many factors does 29 have?
  17. 17.What is the smallest number you must add to 345 so that it divides exactly by 8?
  18. 18.How many factors does 40 have?
  19. 19.How many factors does 13 have?
  20. 20.How many factors does 69 have?
  21. 21.How many factors does 51 have?
  22. 22.What is the smallest number you must add to 315 so that it divides exactly by 11?
  23. 23.How many factors does 31 have?
  24. 24.How many factors does 80 have?
  25. 25.How many factors does 71 have?
  26. 26.How many factors does 32 have?
  27. 27.How many factors does 82 have?
  28. 28.How many factors does 18 have?
  29. 29.Which of these numbers divides exactly by 9? (a) 7299 (b) 1732 (c) 3953 (d) 2652
  30. 30.What is the smallest number you must take away from 154 so that it divides exactly by 8?
  31. 31.What is the smallest number you must take away from 347 so that it divides exactly by 8?
  32. 32.What is the smallest number you must take away from 751 so that it divides exactly by 13?
  33. 33.How many factors does 89 have?
  34. 34.What is the smallest number you must add to 403 so that it divides exactly by 8?
  35. 35.Which of these numbers divides exactly by 8? (a) 4056 (b) 2397 (c) 7253 (d) 6841
  36. 36.Which of these numbers divides exactly by 6? (a) 6246 (b) 3596 (c) 2414 (d) 5259
  37. 37.What is the smallest number you must take away from 557 so that it divides exactly by 4?
  38. 38.Which of these numbers divides exactly by 3? (a) 7877 (b) 6630 (c) 5218 (d) 9941
  39. 39.How many factors does 26 have?
  40. 40.Which of these numbers divides exactly by 6? (a) 2872 (b) 7140 (c) 3189 (d) 3267

Answer key

  1. 7
  2. 8154
  3. 2
  4. 5
  5. 8
  6. 4590
  7. 6
  8. 5
  9. 2
  10. 8
  11. 5
  12. 1520
  13. 1
  14. 3
  15. 11
  16. 2
  17. 7
  18. 8
  19. 2
  20. 4
  21. 4
  22. 4
  23. 2
  24. 10
  25. 2
  26. 6
  27. 4
  28. 6
  29. 7299
  30. 2
  31. 3
  32. 10
  33. 2
  34. 5
  35. 4056
  36. 6246
  37. 1
  38. 6630
  39. 4
  40. 7140

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