Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 37 · 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 12 have?
2. 2.Which of these numbers divides exactly by 6? (a) 6016 (b) 6481 (c) 2712 (d) 4847
3. 3.How many factors does 38 have?
4. 4.Which of these numbers divides exactly by 8? (a) 7312 (b) 1117 (c) 9454 (d) 7581
5. 5.Which of these numbers divides exactly by 6? (a) 2694 (b) 9999 (c) 6893 (d) 1123
6. 6.What is the smallest number you must take away from 760 so that it divides exactly by 3?
7. 7.What is the smallest number you must add to 521 so that it divides exactly by 7?
8. 8.Which of these numbers divides exactly by 4? (a) 2965 (b) 8187 (c) 3812 (d) 1909
9. 9.How many factors does 78 have?
10. 10.What is the smallest number you must add to 793 so that it divides exactly by 3?
11. 11.What is the smallest number you must add to 718 so that it divides exactly by 3?
12. 12.How many factors does 68 have?
13. 13.Which of these numbers divides exactly by 8? (a) 4693 (b) 4006 (c) 7561 (d) 4056
14. 14.What is the smallest number you must take away from 134 so that it divides exactly by 6?
15. 15.Which of these numbers divides exactly by 11? (a) 6109 (b) 8613 (c) 5012 (d) 5589
16. 16.Which of these numbers divides exactly by 3? (a) 7474 (b) 7091 (c) 9174 (d) 4874
17. 17.Which of these numbers divides exactly by 8? (a) 6245 (b) 3538 (c) 5510 (d) 4704
18. 18.What is the smallest number you must take away from 447 so that it divides exactly by 4?
19. 19.What is the smallest number you must add to 664 so that it divides exactly by 7?
20. 20.How many factors does 83 have?
21. 21.How many factors does 40 have?
22. 22.What is the smallest number you must take away from 956 so that it divides exactly by 13?
23. 23.What is the smallest number you must add to 802 so that it divides exactly by 4?
24. 24.What is the smallest number you must take away from 363 so that it divides exactly by 12?
25. 25.What is the smallest number you must take away from 394 so that it divides exactly by 4?
26. 26.Which of these numbers divides exactly by 6? (a) 2020 (b) 5375 (c) 2966 (d) 6912
27. 27.What is the smallest number you must add to 421 so that it divides exactly by 3?
28. 28.What is the smallest number you must take away from 810 so that it divides exactly by 12?
29. 29.What is the smallest number you must take away from 788 so that it divides exactly by 6?
30. 30.What is the smallest number you must take away from 152 so that it divides exactly by 6?
31. 31.What is the smallest number you must take away from 119 so that it divides exactly by 11?
32. 32.How many factors does 97 have?
33. 33.What is the smallest number you must add to 307 so that it divides exactly by 13?
34. 34.How many factors does 49 have?
35. 35.How many factors does 73 have?
36. 36.What is the smallest number you must take away from 832 so that it divides exactly by 6?
37. 37.Which of these numbers divides exactly by 4? (a) 3120 (b) 3650 (c) 4454 (d) 7149
38. 38.How many factors does 41 have?
39. 39.What is the smallest number you must take away from 952 so that it divides exactly by 9?
40. 40.What is the smallest number you must take away from 620 so that it divides exactly by 6?

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