Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 66 · 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 11? (a) 4249 (b) 7771 (c) 3553 (d) 3592
2. 2.Which of these numbers divides exactly by 8? (a) 3149 (b) 2696 (c) 2907 (d) 3666
3. 3.Which of these numbers divides exactly by 3? (a) 6278 (b) 8096 (c) 3355 (d) 3690
4. 4.Which of these numbers divides exactly by 4? (a) 1617 (b) 1038 (c) 3804 (d) 3535
5. 5.Which of these numbers divides exactly by 6? (a) 2112 (b) 3765 (c) 7120 (d) 6943
6. 6.Which of these numbers divides exactly by 9? (a) 2143 (b) 7002 (c) 2410 (d) 5737
7. 7.What is the smallest number you must add to 377 so that it divides exactly by 7?
8. 8.Which of these numbers divides exactly by 11? (a) 2448 (b) 1848 (c) 6801 (d) 2204
9. 9.What is the smallest number you must take away from 631 so that it divides exactly by 3?
10. 10.What is the smallest number you must take away from 676 so that it divides exactly by 7?
11. 11.What is the smallest number you must add to 550 so that it divides exactly by 8?
12. 12.How many factors does 71 have?
13. 13.What is the smallest number you must add to 354 so that it divides exactly by 13?
14. 14.What is the smallest number you must add to 153 so that it divides exactly by 4?
15. 15.What is the smallest number you must take away from 538 so that it divides exactly by 9?
16. 16.What is the smallest number you must add to 220 so that it divides exactly by 12?
17. 17.Which of these numbers divides exactly by 11? (a) 6489 (b) 6944 (c) 3542 (d) 7903
18. 18.How many factors does 58 have?
19. 19.How many factors does 31 have?
20. 20.How many factors does 91 have?
21. 21.What is the smallest number you must add to 646 so that it divides exactly by 7?
22. 22.How many factors does 19 have?
23. 23.What is the smallest number you must take away from 502 so that it divides exactly by 13?
24. 24.Which of these numbers divides exactly by 4? (a) 6492 (b) 6619 (c) 5719 (d) 2654
25. 25.What is the smallest number you must take away from 611 so that it divides exactly by 11?
26. 26.What is the smallest number you must take away from 312 so that it divides exactly by 11?
27. 27.How many factors does 40 have?
28. 28.What is the smallest number you must add to 433 so that it divides exactly by 4?
29. 29.What is the smallest number you must take away from 903 so that it divides exactly by 4?
30. 30.How many factors does 35 have?
31. 31.What is the smallest number you must add to 694 so that it divides exactly by 9?
32. 32.What is the smallest number you must take away from 650 so that it divides exactly by 12?
33. 33.Which of these numbers divides exactly by 9? (a) 6372 (b) 5917 (c) 2210 (d) 7940
34. 34.How many factors does 24 have?
35. 35.How many factors does 13 have?
36. 36.What is the smallest number you must add to 179 so that it divides exactly by 12?
37. 37.Which of these numbers divides exactly by 3? (a) 3901 (b) 4532 (c) 6357 (d) 3070
38. 38.What is the smallest number you must add to 794 so that it divides exactly by 13?
39. 39.What is the smallest number you must take away from 764 so that it divides exactly by 7?
40. 40.What is the smallest number you must add to 227 so that it divides exactly by 13?

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