Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 50 · 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 take away from 445 so that it divides exactly by 3?
2. 2.What is the smallest number you must add to 807 so that it divides exactly by 13?
3. 3.Which of these numbers divides exactly by 9? (a) 2675 (b) 5545 (c) 1287 (d) 3904
4. 4.Which of these numbers divides exactly by 3? (a) 6727 (b) 9644 (c) 6533 (d) 8199
5. 5.What is the smallest number you must take away from 583 so that it divides exactly by 6?
6. 6.What is the smallest number you must take away from 814 so that it divides exactly by 6?
7. 7.How many factors does 25 have?
8. 8.What is the smallest number you must take away from 490 so that it divides exactly by 11?
9. 9.What is the smallest number you must take away from 725 so that it divides exactly by 9?
10. 10.How many factors does 74 have?
11. 11.What is the smallest number you must add to 657 so that it divides exactly by 11?
12. 12.What is the smallest number you must take away from 771 so that it divides exactly by 11?
13. 13.How many factors does 59 have?
14. 14.What is the smallest number you must add to 326 so that it divides exactly by 9?
15. 15.What is the smallest number you must add to 665 so that it divides exactly by 12?
16. 16.Which of these numbers divides exactly by 8? (a) 4405 (b) 8115 (c) 2880 (d) 2849
17. 17.Which of these numbers divides exactly by 11? (a) 1557 (b) 5154 (c) 3936 (d) 1683
18. 18.How many factors does 40 have?
19. 19.What is the smallest number you must add to 198 so that it divides exactly by 12?
20. 20.Which of these numbers divides exactly by 6? (a) 8559 (b) 2508 (c) 7569 (d) 8132
21. 21.How many factors does 30 have?
22. 22.Which of these numbers divides exactly by 3? (a) 6853 (b) 9084 (c) 6494 (d) 5653
23. 23.What is the smallest number you must take away from 398 so that it divides exactly by 6?
24. 24.How many factors does 15 have?
25. 25.Which of these numbers divides exactly by 6? (a) 1918 (b) 8358 (c) 3239 (d) 3692
26. 26.What is the smallest number you must take away from 867 so that it divides exactly by 4?
27. 27.How many factors does 58 have?
28. 28.What is the smallest number you must take away from 581 so that it divides exactly by 4?
29. 29.Which of these numbers divides exactly by 4? (a) 7699 (b) 1979 (c) 4512 (d) 2217
30. 30.Which of these numbers divides exactly by 4? (a) 7405 (b) 3786 (c) 3740 (d) 9514
31. 31.Which of these numbers divides exactly by 4? (a) 8613 (b) 6330 (c) 2967 (d) 2960
32. 32.What is the smallest number you must take away from 500 so that it divides exactly by 6?
33. 33.What is the smallest number you must add to 892 so that it divides exactly by 9?
34. 34.How many factors does 91 have?
35. 35.How many factors does 86 have?
36. 36.What is the smallest number you must add to 994 so that it divides exactly by 8?
37. 37.Which of these numbers divides exactly by 6? (a) 4305 (b) 7904 (c) 4803 (d) 5418
38. 38.What is the smallest number you must take away from 893 so that it divides exactly by 13?
39. 39.Which of these numbers divides exactly by 11? (a) 5944 (b) 2434 (c) 1793 (d) 7930
40. 40.What is the smallest number you must take away from 256 so that it divides exactly by 11?

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