← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 186 · 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) 2457 (b) 5345 (c) 2073 (d) 9872
  2. 2.What is the smallest number you must take away from 278 so that it divides exactly by 13?
  3. 3.What is the smallest number you must take away from 253 so that it divides exactly by 9?
  4. 4.What is the smallest number you must take away from 922 so that it divides exactly by 4?
  5. 5.What is the smallest number you must take away from 113 so that it divides exactly by 9?
  6. 6.What is the smallest number you must take away from 973 so that it divides exactly by 9?
  7. 7.What is the smallest number you must take away from 697 so that it divides exactly by 7?
  8. 8.What is the smallest number you must take away from 525 so that it divides exactly by 13?
  9. 9.How many factors does 88 have?
  10. 10.What is the smallest number you must add to 896 so that it divides exactly by 3?
  11. 11.How many factors does 46 have?
  12. 12.Which of these numbers divides exactly by 9? (a) 2798 (b) 6869 (c) 6204 (d) 3159
  13. 13.Which of these numbers divides exactly by 8? (a) 1432 (b) 1009 (c) 1029 (d) 8014
  14. 14.What is the smallest number you must add to 307 so that it divides exactly by 7?
  15. 15.What is the smallest number you must add to 435 so that it divides exactly by 7?
  16. 16.How many factors does 20 have?
  17. 17.Which of these numbers divides exactly by 6? (a) 6352 (b) 5508 (c) 2953 (d) 7353
  18. 18.Which of these numbers divides exactly by 3? (a) 9942 (b) 9851 (c) 4012 (d) 1621
  19. 19.How many factors does 16 have?
  20. 20.What is the smallest number you must take away from 598 so that it divides exactly by 3?
  21. 21.How many factors does 75 have?
  22. 22.How many factors does 79 have?
  23. 23.What is the smallest number you must take away from 188 so that it divides exactly by 13?
  24. 24.How many factors does 28 have?
  25. 25.What is the smallest number you must take away from 428 so that it divides exactly by 12?
  26. 26.How many factors does 55 have?
  27. 27.What is the smallest number you must add to 530 so that it divides exactly by 4?
  28. 28.How many factors does 99 have?
  29. 29.How many factors does 27 have?
  30. 30.Which of these numbers divides exactly by 11? (a) 9787 (b) 8092 (c) 9460 (d) 2736
  31. 31.How many factors does 63 have?
  32. 32.How many factors does 58 have?
  33. 33.How many factors does 67 have?
  34. 34.How many factors does 38 have?
  35. 35.What is the smallest number you must take away from 442 so that it divides exactly by 9?
  36. 36.What is the smallest number you must take away from 482 so that it divides exactly by 12?
  37. 37.What is the smallest number you must add to 887 so that it divides exactly by 3?
  38. 38.How many factors does 35 have?
  39. 39.What is the smallest number you must take away from 933 so that it divides exactly by 6?
  40. 40.How many factors does 37 have?

Answer key

  1. 9872
  2. 5
  3. 1
  4. 2
  5. 5
  6. 1
  7. 4
  8. 5
  9. 8
  10. 1
  11. 4
  12. 3159
  13. 1432
  14. 1
  15. 6
  16. 6
  17. 5508
  18. 9942
  19. 5
  20. 1
  21. 6
  22. 2
  23. 6
  24. 6
  25. 8
  26. 4
  27. 2
  28. 6
  29. 4
  30. 9460
  31. 6
  32. 4
  33. 2
  34. 4
  35. 1
  36. 2
  37. 1
  38. 4
  39. 3
  40. 2

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