← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 302 · 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 707 so that it divides exactly by 4?
  2. 2.What is the smallest number you must add to 466 so that it divides exactly by 11?
  3. 3.What is the smallest number you must add to 427 so that it divides exactly by 6?
  4. 4.How many factors does 39 have?
  5. 5.Which of these numbers divides exactly by 9? (a) 2409 (b) 5352 (c) 9018 (d) 2571
  6. 6.How many factors does 35 have?
  7. 7.What is the smallest number you must add to 495 so that it divides exactly by 13?
  8. 8.What is the smallest number you must take away from 911 so that it divides exactly by 8?
  9. 9.What is the smallest number you must add to 137 so that it divides exactly by 11?
  10. 10.What is the smallest number you must add to 595 so that it divides exactly by 11?
  11. 11.What is the smallest number you must add to 511 so that it divides exactly by 6?
  12. 12.What is the smallest number you must add to 846 so that it divides exactly by 7?
  13. 13.How many factors does 77 have?
  14. 14.How many factors does 54 have?
  15. 15.How many factors does 88 have?
  16. 16.Which of these numbers divides exactly by 9? (a) 2259 (b) 9143 (c) 6882 (d) 9339
  17. 17.What is the smallest number you must add to 409 so that it divides exactly by 3?
  18. 18.How many factors does 19 have?
  19. 19.What is the smallest number you must take away from 218 so that it divides exactly by 8?
  20. 20.Which of these numbers divides exactly by 9? (a) 3116 (b) 5908 (c) 5980 (d) 9063
  21. 21.What is the smallest number you must take away from 953 so that it divides exactly by 8?
  22. 22.How many factors does 90 have?
  23. 23.How many factors does 86 have?
  24. 24.What is the smallest number you must add to 989 so that it divides exactly by 4?
  25. 25.What is the smallest number you must take away from 401 so that it divides exactly by 4?
  26. 26.What is the smallest number you must take away from 776 so that it divides exactly by 13?
  27. 27.What is the smallest number you must add to 322 so that it divides exactly by 6?
  28. 28.What is the smallest number you must add to 271 so that it divides exactly by 9?
  29. 29.What is the smallest number you must take away from 353 so that it divides exactly by 8?
  30. 30.What is the smallest number you must add to 501 so that it divides exactly by 4?
  31. 31.What is the smallest number you must take away from 324 so that it divides exactly by 7?
  32. 32.How many factors does 95 have?
  33. 33.Which of these numbers divides exactly by 8? (a) 7209 (b) 4819 (c) 8742 (d) 1392
  34. 34.Which of these numbers divides exactly by 3? (a) 7921 (b) 2436 (c) 9697 (d) 3430
  35. 35.What is the smallest number you must take away from 313 so that it divides exactly by 13?
  36. 36.Which of these numbers divides exactly by 11? (a) 7931 (b) 7064 (c) 1572 (d) 3040
  37. 37.How many factors does 100 have?
  38. 38.How many factors does 89 have?
  39. 39.Which of these numbers divides exactly by 4? (a) 3746 (b) 2408 (c) 8141 (d) 7262
  40. 40.How many factors does 81 have?

Answer key

  1. 3
  2. 7
  3. 5
  4. 4
  5. 9018
  6. 4
  7. 12
  8. 7
  9. 6
  10. 10
  11. 5
  12. 1
  13. 4
  14. 8
  15. 8
  16. 2259
  17. 2
  18. 2
  19. 2
  20. 9063
  21. 1
  22. 12
  23. 4
  24. 3
  25. 1
  26. 9
  27. 2
  28. 8
  29. 1
  30. 3
  31. 2
  32. 4
  33. 1392
  34. 2436
  35. 1
  36. 7931
  37. 9
  38. 2
  39. 2408
  40. 5

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