Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 105 · 40 questions

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.

1. 1.Which of these numbers divides exactly by 3? (a) 8098 (b) 1053 (c) 9631 (d) 6913
2. 2.Which of these numbers divides exactly by 3? (a) 9741 (b) 2725 (c) 4324 (d) 9262
3. 3.How many factors does 38 have?
4. 4.How many factors does 62 have?
5. 5.How many factors does 99 have?
6. 6.How many factors does 68 have?
7. 7.How many factors does 88 have?
8. 8.Which of these numbers divides exactly by 6? (a) 5728 (b) 5162 (c) 5880 (d) 1238
9. 9.How many factors does 93 have?
10. 10.What is the smallest number you must take away from 245 so that it divides exactly by 12?
11. 11.What is the smallest number you must add to 182 so that it divides exactly by 4?
12. 12.What is the smallest number you must take away from 580 so that it divides exactly by 13?
13. 13.Which of these numbers divides exactly by 4? (a) 8690 (b) 9540 (c) 9962 (d) 4035
14. 14.What is the smallest number you must add to 851 so that it divides exactly by 11?
15. 15.What is the smallest number you must take away from 509 so that it divides exactly by 13?
16. 16.Which of these numbers divides exactly by 8? (a) 9336 (b) 2469 (c) 2876 (d) 4197
17. 17.What is the smallest number you must take away from 550 so that it divides exactly by 4?
18. 18.How many factors does 72 have?
19. 19.What is the smallest number you must take away from 426 so that it divides exactly by 13?
20. 20.How many factors does 47 have?
21. 21.What is the smallest number you must take away from 949 so that it divides exactly by 12?
22. 22.Which of these numbers divides exactly by 9? (a) 8232 (b) 6104 (c) 4635 (d) 9840
23. 23.How many factors does 59 have?
24. 24.What is the smallest number you must add to 501 so that it divides exactly by 11?
25. 25.What is the smallest number you must take away from 491 so that it divides exactly by 3?
26. 26.What is the smallest number you must add to 849 so that it divides exactly by 6?
27. 27.What is the smallest number you must take away from 734 so that it divides exactly by 6?
28. 28.What is the smallest number you must add to 978 so that it divides exactly by 9?
29. 29.Which of these numbers divides exactly by 11? (a) 8283 (b) 2878 (c) 1169 (d) 5185
30. 30.What is the smallest number you must add to 966 so that it divides exactly by 13?
31. 31.What is the smallest number you must add to 274 so that it divides exactly by 8?
32. 32.What is the smallest number you must add to 161 so that it divides exactly by 13?
33. 33.What is the smallest number you must take away from 148 so that it divides exactly by 7?
34. 34.Which of these numbers divides exactly by 3? (a) 7625 (b) 1775 (c) 9177 (d) 4957
35. 35.How many factors does 94 have?
36. 36.Which of these numbers divides exactly by 8? (a) 3866 (b) 7396 (c) 5320 (d) 2807
37. 37.Which of these numbers divides exactly by 9? (a) 9108 (b) 2756 (c) 6836 (d) 8961
38. 38.What is the smallest number you must take away from 581 so that it divides exactly by 12?
39. 39.How many factors does 13 have?
40. 40.What is the smallest number you must add to 333 so that it divides exactly by 11?

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