Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 249 · 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 690 so that it divides exactly by 13?
2. 2.How many factors does 24 have?
3. 3.Which of these numbers divides exactly by 3? (a) 7483 (b) 4067 (c) 3010 (d) 7269
4. 4.Which of these numbers divides exactly by 4? (a) 7728 (b) 8698 (c) 1542 (d) 6495
5. 5.Which of these numbers divides exactly by 4? (a) 4681 (b) 4909 (c) 7236 (d) 7697
6. 6.How many factors does 69 have?
7. 7.What is the smallest number you must take away from 330 so that it divides exactly by 9?
8. 8.How many factors does 70 have?
9. 9.How many factors does 50 have?
10. 10.What is the smallest number you must take away from 603 so that it divides exactly by 13?
11. 11.How many factors does 23 have?
12. 12.What is the smallest number you must take away from 109 so that it divides exactly by 3?
13. 13.Which of these numbers divides exactly by 3? (a) 4198 (b) 3358 (c) 4066 (d) 1653
14. 14.What is the smallest number you must take away from 726 so that it divides exactly by 13?
15. 15.Which of these numbers divides exactly by 6? (a) 2202 (b) 1405 (c) 9033 (d) 1103
16. 16.How many factors does 29 have?
17. 17.What is the smallest number you must add to 310 so that it divides exactly by 8?
18. 18.What is the smallest number you must take away from 291 so that it divides exactly by 7?
19. 19.Which of these numbers divides exactly by 11? (a) 8759 (b) 7623 (c) 2438 (d) 2242
20. 20.How many factors does 72 have?
21. 21.Which of these numbers divides exactly by 6? (a) 9718 (b) 1975 (c) 8086 (d) 8424
22. 22.What is the smallest number you must take away from 980 so that it divides exactly by 11?
23. 23.How many factors does 16 have?
24. 24.What is the smallest number you must add to 615 so that it divides exactly by 4?
25. 25.What is the smallest number you must add to 941 so that it divides exactly by 9?
26. 26.Which of these numbers divides exactly by 8? (a) 3592 (b) 3126 (c) 5356 (d) 6084
27. 27.What is the smallest number you must take away from 444 so that it divides exactly by 11?
28. 28.What is the smallest number you must add to 386 so that it divides exactly by 7?
29. 29.What is the smallest number you must add to 466 so that it divides exactly by 13?
30. 30.Which of these numbers divides exactly by 8? (a) 6343 (b) 1168 (c) 8159 (d) 3394
31. 31.Which of these numbers divides exactly by 4? (a) 4442 (b) 9502 (c) 8284 (d) 8883
32. 32.How many factors does 37 have?
33. 33.How many factors does 63 have?
34. 34.What is the smallest number you must add to 941 so that it divides exactly by 13?
35. 35.What is the smallest number you must take away from 164 so that it divides exactly by 13?
36. 36.What is the smallest number you must take away from 134 so that it divides exactly by 4?
37. 37.How many factors does 75 have?
38. 38.Which of these numbers divides exactly by 8? (a) 4144 (b) 8339 (c) 8725 (d) 1278
39. 39.What is the smallest number you must add to 621 so that it divides exactly by 4?
40. 40.What is the smallest number you must take away from 930 so that it divides exactly by 12?

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