Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 240 · 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.What is the smallest number you must add to 740 so that it divides exactly by 8?
2. 2.What is the smallest number you must add to 410 so that it divides exactly by 12?
3. 3.Which of these numbers divides exactly by 4? (a) 2759 (b) 2974 (c) 2844 (d) 6073
4. 4.What is the smallest number you must take away from 210 so that it divides exactly by 4?
5. 5.What is the smallest number you must add to 280 so that it divides exactly by 6?
6. 6.What is the smallest number you must take away from 839 so that it divides exactly by 13?
7. 7.How many factors does 70 have?
8. 8.How many factors does 98 have?
9. 9.Which of these numbers divides exactly by 3? (a) 8018 (b) 3948 (c) 9085 (d) 2341
10. 10.How many factors does 29 have?
11. 11.How many factors does 80 have?
12. 12.What is the smallest number you must add to 778 so that it divides exactly by 11?
13. 13.Which of these numbers divides exactly by 9? (a) 1296 (b) 6389 (c) 1229 (d) 5083
14. 14.What is the smallest number you must add to 439 so that it divides exactly by 6?
15. 15.What is the smallest number you must add to 362 so that it divides exactly by 11?
16. 16.How many factors does 50 have?
17. 17.How many factors does 63 have?
18. 18.What is the smallest number you must take away from 284 so that it divides exactly by 3?
19. 19.Which of these numbers divides exactly by 8? (a) 2631 (b) 9328 (c) 4269 (d) 1756
20. 20.Which of these numbers divides exactly by 4? (a) 4537 (b) 9858 (c) 2536 (d) 1243
21. 21.How many factors does 91 have?
22. 22.What is the smallest number you must add to 179 so that it divides exactly by 6?
23. 23.How many factors does 74 have?
24. 24.What is the smallest number you must add to 297 so that it divides exactly by 4?
25. 25.What is the smallest number you must take away from 758 so that it divides exactly by 9?
26. 26.Which of these numbers divides exactly by 9? (a) 6345 (b) 6757 (c) 7783 (d) 9325
27. 27.What is the smallest number you must take away from 661 so that it divides exactly by 13?
28. 28.Which of these numbers divides exactly by 8? (a) 7654 (b) 8695 (c) 2360 (d) 1740
29. 29.What is the smallest number you must add to 886 so that it divides exactly by 12?
30. 30.Which of these numbers divides exactly by 11? (a) 9984 (b) 7998 (c) 9097 (d) 7906
31. 31.What is the smallest number you must take away from 971 so that it divides exactly by 12?
32. 32.What is the smallest number you must add to 567 so that it divides exactly by 6?
33. 33.What is the smallest number you must take away from 451 so that it divides exactly by 4?
34. 34.How many factors does 46 have?
35. 35.How many factors does 79 have?
36. 36.What is the smallest number you must add to 104 so that it divides exactly by 11?
37. 37.What is the smallest number you must take away from 342 so that it divides exactly by 12?
38. 38.How many factors does 83 have?
39. 39.Which of these numbers divides exactly by 6? (a) 4869 (b) 6148 (c) 4524 (d) 9127
40. 40.What is the smallest number you must add to 722 so that it divides exactly by 13?

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