← Divisibility and factors lesson New set →

Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 127 · 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 12 have?
  2. 2.What is the smallest number you must take away from 902 so that it divides exactly by 12?
  3. 3.What is the smallest number you must add to 303 so that it divides exactly by 8?
  4. 4.What is the smallest number you must add to 488 so that it divides exactly by 9?
  5. 5.What is the smallest number you must take away from 290 so that it divides exactly by 13?
  6. 6.What is the smallest number you must add to 516 so that it divides exactly by 11?
  7. 7.Which of these numbers divides exactly by 4? (a) 8301 (b) 1603 (c) 7268 (d) 5781
  8. 8.What is the smallest number you must add to 387 so that it divides exactly by 12?
  9. 9.What is the smallest number you must add to 482 so that it divides exactly by 6?
  10. 10.What is the smallest number you must take away from 247 so that it divides exactly by 12?
  11. 11.How many factors does 84 have?
  12. 12.What is the smallest number you must add to 153 so that it divides exactly by 7?
  13. 13.What is the smallest number you must add to 561 so that it divides exactly by 7?
  14. 14.Which of these numbers divides exactly by 3? (a) 3791 (b) 5232 (c) 3302 (d) 4963
  15. 15.What is the smallest number you must take away from 522 so that it divides exactly by 12?
  16. 16.How many factors does 18 have?
  17. 17.What is the smallest number you must add to 783 so that it divides exactly by 13?
  18. 18.How many factors does 62 have?
  19. 19.What is the smallest number you must take away from 346 so that it divides exactly by 13?
  20. 20.What is the smallest number you must add to 433 so that it divides exactly by 3?
  21. 21.What is the smallest number you must take away from 441 so that it divides exactly by 4?
  22. 22.What is the smallest number you must take away from 487 so that it divides exactly by 11?
  23. 23.What is the smallest number you must add to 784 so that it divides exactly by 12?
  24. 24.How many factors does 29 have?
  25. 25.What is the smallest number you must add to 356 so that it divides exactly by 12?
  26. 26.What is the smallest number you must add to 573 so that it divides exactly by 6?
  27. 27.What is the smallest number you must take away from 465 so that it divides exactly by 9?
  28. 28.How many factors does 41 have?
  29. 29.Which of these numbers divides exactly by 11? (a) 2390 (b) 5324 (c) 2236 (d) 9529
  30. 30.How many factors does 14 have?
  31. 31.What is the smallest number you must add to 525 so that it divides exactly by 12?
  32. 32.What is the smallest number you must take away from 625 so that it divides exactly by 11?
  33. 33.How many factors does 74 have?
  34. 34.What is the smallest number you must add to 121 so that it divides exactly by 9?
  35. 35.What is the smallest number you must take away from 358 so that it divides exactly by 12?
  36. 36.Which of these numbers divides exactly by 4? (a) 5313 (b) 9159 (c) 4272 (d) 3058
  37. 37.Which of these numbers divides exactly by 3? (a) 5290 (b) 2034 (c) 2483 (d) 4492
  38. 38.How many factors does 42 have?
  39. 39.What is the smallest number you must take away from 773 so that it divides exactly by 11?
  40. 40.Which of these numbers divides exactly by 6? (a) 3878 (b) 6017 (c) 2337 (d) 3516

Answer key

  1. 6
  2. 2
  3. 1
  4. 7
  5. 4
  6. 1
  7. 7268
  8. 9
  9. 4
  10. 7
  11. 12
  12. 1
  13. 6
  14. 5232
  15. 6
  16. 6
  17. 10
  18. 4
  19. 8
  20. 2
  21. 1
  22. 3
  23. 8
  24. 2
  25. 4
  26. 3
  27. 6
  28. 2
  29. 5324
  30. 4
  31. 3
  32. 9
  33. 4
  34. 5
  35. 10
  36. 4272
  37. 2034
  38. 8
  39. 3
  40. 3516

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