Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 53 · 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 739 so that it divides exactly by 11?
2. 2.What is the smallest number you must add to 604 so that it divides exactly by 9?
3. 3.Which of these numbers divides exactly by 3? (a) 9985 (b) 5080 (c) 8437 (d) 4320
4. 4.What is the smallest number you must add to 164 so that it divides exactly by 11?
5. 5.Which of these numbers divides exactly by 11? (a) 4365 (b) 9423 (c) 6389 (d) 6952
6. 6.How many factors does 65 have?
7. 7.What is the smallest number you must take away from 381 so that it divides exactly by 12?
8. 8.What is the smallest number you must add to 718 so that it divides exactly by 6?
9. 9.Which of these numbers divides exactly by 11? (a) 4193 (b) 2759 (c) 3410 (d) 9660
10. 10.What is the smallest number you must add to 785 so that it divides exactly by 13?
11. 11.Which of these numbers divides exactly by 11? (a) 8830 (b) 1375 (c) 5321 (d) 9200
12. 12.Which of these numbers divides exactly by 11? (a) 7184 (b) 7893 (c) 2255 (d) 4375
13. 13.What is the smallest number you must take away from 437 so that it divides exactly by 6?
14. 14.How many factors does 19 have?
15. 15.What is the smallest number you must take away from 934 so that it divides exactly by 8?
16. 16.What is the smallest number you must add to 190 so that it divides exactly by 11?
17. 17.What is the smallest number you must add to 570 so that it divides exactly by 9?
18. 18.How many factors does 80 have?
19. 19.What is the smallest number you must take away from 320 so that it divides exactly by 3?
20. 20.What is the smallest number you must take away from 645 so that it divides exactly by 4?
21. 21.What is the smallest number you must take away from 541 so that it divides exactly by 3?
22. 22.Which of these numbers divides exactly by 11? (a) 4756 (b) 4345 (c) 8325 (d) 8334
23. 23.How many factors does 70 have?
24. 24.What is the smallest number you must add to 785 so that it divides exactly by 3?
25. 25.How many factors does 22 have?
26. 26.Which of these numbers divides exactly by 4? (a) 1249 (b) 8831 (c) 2100 (d) 5598
27. 27.What is the smallest number you must take away from 626 so that it divides exactly by 4?
28. 28.What is the smallest number you must take away from 157 so that it divides exactly by 7?
29. 29.How many factors does 48 have?
30. 30.Which of these numbers divides exactly by 9? (a) 8562 (b) 9657 (c) 7748 (d) 7049
31. 31.How many factors does 13 have?
32. 32.How many factors does 91 have?
33. 33.Which of these numbers divides exactly by 8? (a) 9214 (b) 8141 (c) 3402 (d) 7696
34. 34.What is the smallest number you must take away from 541 so that it divides exactly by 6?
35. 35.What is the smallest number you must take away from 430 so that it divides exactly by 3?
36. 36.What is the smallest number you must take away from 212 so that it divides exactly by 8?
37. 37.Which of these numbers divides exactly by 11? (a) 2536 (b) 4684 (c) 6963 (d) 7298
38. 38.Which of these numbers divides exactly by 6? (a) 4002 (b) 8368 (c) 7204 (d) 8939
39. 39.How many factors does 52 have?
40. 40.What is the smallest number you must take away from 465 so that it divides exactly by 12?

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