Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 149 · 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.How many factors does 35 have?
2. 2.How many factors does 16 have?
3. 3.What is the smallest number you must add to 358 so that it divides exactly by 7?
4. 4.How many factors does 89 have?
5. 5.What is the smallest number you must add to 147 so that it divides exactly by 12?
6. 6.What is the smallest number you must add to 693 so that it divides exactly by 4?
7. 7.What is the smallest number you must take away from 231 so that it divides exactly by 12?
8. 8.How many factors does 74 have?
9. 9.What is the smallest number you must add to 659 so that it divides exactly by 9?
10. 10.Which of these numbers divides exactly by 11? (a) 3240 (b) 4122 (c) 6229 (d) 4763
11. 11.How many factors does 91 have?
12. 12.How many factors does 57 have?
13. 13.What is the smallest number you must take away from 914 so that it divides exactly by 4?
14. 14.What is the smallest number you must take away from 178 so that it divides exactly by 4?
15. 15.What is the smallest number you must add to 968 so that it divides exactly by 13?
16. 16.What is the smallest number you must take away from 718 so that it divides exactly by 8?
17. 17.What is the smallest number you must add to 199 so that it divides exactly by 3?
18. 18.What is the smallest number you must add to 557 so that it divides exactly by 13?
19. 19.Which of these numbers divides exactly by 8? (a) 1830 (b) 1643 (c) 4150 (d) 1792
20. 20.Which of these numbers divides exactly by 6? (a) 9029 (b) 2385 (c) 1886 (d) 6600
21. 21.Which of these numbers divides exactly by 9? (a) 6983 (b) 6990 (c) 1935 (d) 1304
22. 22.What is the smallest number you must add to 135 so that it divides exactly by 13?
23. 23.What is the smallest number you must take away from 944 so that it divides exactly by 7?
24. 24.Which of these numbers divides exactly by 8? (a) 3119 (b) 1209 (c) 2584 (d) 5629
25. 25.Which of these numbers divides exactly by 11? (a) 8973 (b) 5103 (c) 2382 (d) 5456
26. 26.What is the smallest number you must add to 488 so that it divides exactly by 13?
27. 27.How many factors does 42 have?
28. 28.How many factors does 12 have?
29. 29.What is the smallest number you must take away from 687 so that it divides exactly by 7?
30. 30.What is the smallest number you must take away from 686 so that it divides exactly by 11?
31. 31.What is the smallest number you must add to 761 so that it divides exactly by 8?
32. 32.Which of these numbers divides exactly by 4? (a) 1177 (b) 7055 (c) 8609 (d) 2108
33. 33.Which of these numbers divides exactly by 11? (a) 5329 (b) 1485 (c) 5399 (d) 2020
34. 34.What is the smallest number you must add to 444 so that it divides exactly by 13?
35. 35.Which of these numbers divides exactly by 9? (a) 8911 (b) 1066 (c) 3726 (d) 7791
36. 36.What is the smallest number you must add to 457 so that it divides exactly by 6?
37. 37.What is the smallest number you must add to 856 so that it divides exactly by 3?
38. 38.What is the smallest number you must take away from 645 so that it divides exactly by 12?
39. 39.How many factors does 90 have?
40. 40.Which of these numbers divides exactly by 6? (a) 2094 (b) 3331 (c) 9743 (d) 4121

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