← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 292 · 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.How many factors does 85 have?
  2. 2.Which of these numbers divides exactly by 8? (a) 4013 (b) 5760 (c) 2918 (d) 2231
  3. 3.Which of these numbers divides exactly by 3? (a) 2339 (b) 9194 (c) 5577 (d) 5404
  4. 4.What is the smallest number you must take away from 997 so that it divides exactly by 8?
  5. 5.Which of these numbers divides exactly by 4? (a) 6897 (b) 6875 (c) 4698 (d) 1164
  6. 6.Which of these numbers divides exactly by 11? (a) 4154 (b) 1112 (c) 1980 (d) 6539
  7. 7.How many factors does 54 have?
  8. 8.What is the smallest number you must add to 892 so that it divides exactly by 8?
  9. 9.What is the smallest number you must take away from 211 so that it divides exactly by 11?
  10. 10.What is the smallest number you must add to 138 so that it divides exactly by 8?
  11. 11.Which of these numbers divides exactly by 8? (a) 5866 (b) 5124 (c) 7622 (d) 5384
  12. 12.What is the smallest number you must add to 569 so that it divides exactly by 3?
  13. 13.What is the smallest number you must add to 133 so that it divides exactly by 8?
  14. 14.How many factors does 68 have?
  15. 15.What is the smallest number you must take away from 207 so that it divides exactly by 8?
  16. 16.What is the smallest number you must take away from 118 so that it divides exactly by 13?
  17. 17.How many factors does 80 have?
  18. 18.Which of these numbers divides exactly by 8? (a) 1485 (b) 9233 (c) 7904 (d) 4620
  19. 19.What is the smallest number you must take away from 643 so that it divides exactly by 6?
  20. 20.How many factors does 75 have?
  21. 21.What is the smallest number you must take away from 605 so that it divides exactly by 12?
  22. 22.What is the smallest number you must take away from 349 so that it divides exactly by 3?
  23. 23.What is the smallest number you must add to 605 so that it divides exactly by 9?
  24. 24.How many factors does 78 have?
  25. 25.What is the smallest number you must add to 514 so that it divides exactly by 3?
  26. 26.How many factors does 34 have?
  27. 27.Which of these numbers divides exactly by 8? (a) 1401 (b) 9946 (c) 3311 (d) 7208
  28. 28.How many factors does 29 have?
  29. 29.What is the smallest number you must add to 282 so that it divides exactly by 4?
  30. 30.What is the smallest number you must add to 335 so that it divides exactly by 13?
  31. 31.How many factors does 17 have?
  32. 32.Which of these numbers divides exactly by 9? (a) 1557 (b) 7007 (c) 7395 (d) 2328
  33. 33.How many factors does 49 have?
  34. 34.How many factors does 15 have?
  35. 35.How many factors does 94 have?
  36. 36.What is the smallest number you must take away from 781 so that it divides exactly by 4?
  37. 37.How many factors does 61 have?
  38. 38.Which of these numbers divides exactly by 9? (a) 6935 (b) 7300 (c) 7254 (d) 3539
  39. 39.Which of these numbers divides exactly by 11? (a) 3143 (b) 1309 (c) 7681 (d) 6851
  40. 40.What is the smallest number you must add to 511 so that it divides exactly by 11?

Answer key

  1. 4
  2. 5760
  3. 5577
  4. 5
  5. 1164
  6. 1980
  7. 8
  8. 4
  9. 2
  10. 6
  11. 5384
  12. 1
  13. 3
  14. 6
  15. 7
  16. 1
  17. 10
  18. 7904
  19. 1
  20. 6
  21. 5
  22. 1
  23. 7
  24. 8
  25. 2
  26. 4
  27. 7208
  28. 2
  29. 2
  30. 3
  31. 2
  32. 1557
  33. 3
  34. 4
  35. 4
  36. 1
  37. 2
  38. 7254
  39. 1309
  40. 6

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