Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 174 · 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 6? (a) 1774 (b) 7586 (c) 4260 (d) 3256
2. 2.Which of these numbers divides exactly by 4? (a) 9631 (b) 7466 (c) 4984 (d) 1489
3. 3.What is the smallest number you must take away from 732 so that it divides exactly by 8?
4. 4.What is the smallest number you must take away from 897 so that it divides exactly by 9?
5. 5.What is the smallest number you must add to 296 so that it divides exactly by 7?
6. 6.Which of these numbers divides exactly by 3? (a) 9136 (b) 6640 (c) 7530 (d) 5690
7. 7.What is the smallest number you must add to 203 so that it divides exactly by 3?
8. 8.What is the smallest number you must add to 897 so that it divides exactly by 11?
9. 9.Which of these numbers divides exactly by 3? (a) 7812 (b) 4810 (c) 2572 (d) 8906
10. 10.How many factors does 82 have?
11. 11.Which of these numbers divides exactly by 6? (a) 9061 (b) 9612 (c) 1402 (d) 5746
12. 12.What is the smallest number you must take away from 755 so that it divides exactly by 6?
13. 13.What is the smallest number you must add to 659 so that it divides exactly by 4?
14. 14.Which of these numbers divides exactly by 11? (a) 7097 (b) 6842 (c) 1783 (d) 3171
15. 15.What is the smallest number you must add to 920 so that it divides exactly by 3?
16. 16.What is the smallest number you must take away from 723 so that it divides exactly by 4?
17. 17.What is the smallest number you must take away from 222 so that it divides exactly by 13?
18. 18.Which of these numbers divides exactly by 3? (a) 5554 (b) 5755 (c) 1329 (d) 5878
19. 19.Which of these numbers divides exactly by 6? (a) 6557 (b) 1997 (c) 9426 (d) 2686
20. 20.Which of these numbers divides exactly by 8? (a) 8404 (b) 5208 (c) 9196 (d) 2439
21. 21.Which of these numbers divides exactly by 4? (a) 2625 (b) 2887 (c) 5098 (d) 7536
22. 22.Which of these numbers divides exactly by 8? (a) 8703 (b) 9310 (c) 7950 (d) 2624
23. 23.What is the smallest number you must add to 217 so that it divides exactly by 4?
24. 24.Which of these numbers divides exactly by 3? (a) 5279 (b) 2362 (c) 2316 (d) 9415
25. 25.How many factors does 70 have?
26. 26.What is the smallest number you must take away from 531 so that it divides exactly by 7?
27. 27.What is the smallest number you must take away from 336 so that it divides exactly by 13?
28. 28.How many factors does 46 have?
29. 29.What is the smallest number you must take away from 270 so that it divides exactly by 8?
30. 30.How many factors does 49 have?
31. 31.How many factors does 53 have?
32. 32.How many factors does 17 have?
33. 33.What is the smallest number you must take away from 417 so that it divides exactly by 4?
34. 34.Which of these numbers divides exactly by 8? (a) 4258 (b) 9178 (c) 4036 (d) 5200
35. 35.What is the smallest number you must add to 362 so that it divides exactly by 8?
36. 36.What is the smallest number you must add to 242 so that it divides exactly by 7?
37. 37.What is the smallest number you must add to 147 so that it divides exactly by 6?
38. 38.What is the smallest number you must take away from 811 so that it divides exactly by 9?
39. 39.What is the smallest number you must take away from 779 so that it divides exactly by 8?
40. 40.How many factors does 29 have?

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