← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 71 · 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 293 so that it divides exactly by 3?
  2. 2.What is the smallest number you must add to 420 so that it divides exactly by 13?
  3. 3.What is the smallest number you must take away from 808 so that it divides exactly by 12?
  4. 4.What is the smallest number you must add to 334 so that it divides exactly by 7?
  5. 5.What is the smallest number you must add to 769 so that it divides exactly by 4?
  6. 6.How many factors does 57 have?
  7. 7.What is the smallest number you must take away from 467 so that it divides exactly by 8?
  8. 8.What is the smallest number you must add to 139 so that it divides exactly by 8?
  9. 9.How many factors does 59 have?
  10. 10.What is the smallest number you must add to 988 so that it divides exactly by 3?
  11. 11.How many factors does 37 have?
  12. 12.Which of these numbers divides exactly by 3? (a) 3941 (b) 6505 (c) 3117 (d) 3091
  13. 13.Which of these numbers divides exactly by 6? (a) 3053 (b) 4099 (c) 4272 (d) 1609
  14. 14.What is the smallest number you must add to 485 so that it divides exactly by 9?
  15. 15.How many factors does 24 have?
  16. 16.Which of these numbers divides exactly by 11? (a) 8373 (b) 7827 (c) 7488 (d) 8371
  17. 17.How many factors does 49 have?
  18. 18.What is the smallest number you must add to 290 so that it divides exactly by 12?
  19. 19.What is the smallest number you must take away from 625 so that it divides exactly by 11?
  20. 20.How many factors does 38 have?
  21. 21.Which of these numbers divides exactly by 4? (a) 3190 (b) 8093 (c) 1722 (d) 5236
  22. 22.How many factors does 87 have?
  23. 23.How many factors does 46 have?
  24. 24.Which of these numbers divides exactly by 3? (a) 3845 (b) 8205 (c) 5413 (d) 5365
  25. 25.What is the smallest number you must take away from 543 so that it divides exactly by 4?
  26. 26.What is the smallest number you must take away from 571 so that it divides exactly by 9?
  27. 27.What is the smallest number you must add to 523 so that it divides exactly by 12?
  28. 28.What is the smallest number you must take away from 760 so that it divides exactly by 12?
  29. 29.What is the smallest number you must take away from 882 so that it divides exactly by 11?
  30. 30.What is the smallest number you must take away from 640 so that it divides exactly by 13?
  31. 31.What is the smallest number you must take away from 950 so that it divides exactly by 13?
  32. 32.What is the smallest number you must add to 931 so that it divides exactly by 8?
  33. 33.How many factors does 18 have?
  34. 34.What is the smallest number you must add to 335 so that it divides exactly by 7?
  35. 35.What is the smallest number you must add to 352 so that it divides exactly by 7?
  36. 36.What is the smallest number you must add to 428 so that it divides exactly by 9?
  37. 37.How many factors does 75 have?
  38. 38.What is the smallest number you must add to 564 so that it divides exactly by 7?
  39. 39.Which of these numbers divides exactly by 11? (a) 9269 (b) 9823 (c) 7464 (d) 1082
  40. 40.What is the smallest number you must take away from 988 so that it divides exactly by 11?

Answer key

  1. 1
  2. 9
  3. 4
  4. 2
  5. 3
  6. 4
  7. 3
  8. 5
  9. 2
  10. 2
  11. 2
  12. 3117
  13. 4272
  14. 1
  15. 8
  16. 8371
  17. 3
  18. 10
  19. 9
  20. 4
  21. 5236
  22. 4
  23. 4
  24. 8205
  25. 3
  26. 4
  27. 5
  28. 4
  29. 2
  30. 3
  31. 1
  32. 5
  33. 6
  34. 1
  35. 5
  36. 4
  37. 6
  38. 3
  39. 9823
  40. 9

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