Year 5 Maths: Using Factors to Divide

Introduction to Factors

Hello, Year 5! Today, we are going to learn about using factors to help us divide numbers.

What are Factors?

A factor is a number that can divide another number without leaving a remainder. For example, if we take the number 12, its factors are 1, 2, 3, 4, 6, and 12. This is because:

• 1 x 12 = 12
• 2 x 6 = 12
• 3 x 4 = 12

Why Use Factors to Divide?

Using factors can make division easier. Instead of dividing a big number, we can break it down into smaller factors that are easier to work with.

How to Use Factors to Divide

Step 1: Find the Factors

First, you need to find the factors of the number you want to divide.

Step 2: Choose the Factor

Next, choose a factor to divide by.

Step 3: Divide

Now, divide the number by the chosen factor.

Example

Let’s say we want to divide 24 by 6.

1. Find Factors of 24: The factors are 1, 2, 3, 4, 6, 8, 12, 24.
2. Choose a Factor: We have 6 as a factor of 24.
3. Divide: Now, we do the division: $$24 \div 6 = 4$$

So, 24 divided by 6 equals 4.

Key Rules

• Always find the factors of the number first.
• Choose a factor that is easy to divide by.
• Remember that some numbers can have many factors, but not all need to be used!

Tips and Tricks

• Practice finding factors of numbers regularly.
• Use a factor tree to help break down larger numbers.
• Remember: if a number ends in 0 or 5, it is divisible by 5!

Questions

Easy Level (1-20)

1. What are the factors of 10?
2. Divide 20 by 5.
3. What are the factors of 15?
4. Divide 18 by 9.
5. What are the factors of 12?
6. Divide 24 by 4.
7. What are the factors of 8?
8. Divide 30 by 6.
9. What are the factors of 16?
10. Divide 36 by 9.
11. What are the factors of 6?
12. Divide 14 by 2.
13. What are the factors of 9?
14. Divide 21 by 7.
15. What are the factors of 4?
16. Divide 40 by 10.
17. What are the factors of 5?
18. Divide 50 by 5.
19. What are the factors of 3?
20. Divide 27 by 3.

Medium Level (21-40)

21. What are the factors of 24?
22. Divide 48 by 8.
23. What are the factors of 36?
24. Divide 45 by 5.
25. What are the factors of 30?
26. Divide 32 by 4.
27. What are the factors of 18?
28. Divide 54 by 9.
29. What are the factors of 20?
30. Divide 60 by 12.
31. What are the factors of 28?
32. Divide 42 by 6.
33. What are the factors of 27?
34. Divide 63 by 9.
35. What are the factors of 50?
36. Divide 70 by 10.
37. What are the factors of 40?
38. Divide 81 by 9.
39. What are the factors of 45?
40. Divide 96 by 12.

Hard Level (41-60)

41. What are the factors of 72?
42. Divide 144 by 12.
43. What are the factors of 81?
44. Divide 120 by 15.
45. What are the factors of 56?
46. Divide 90 by 10.
47. What are the factors of 63?
48. Divide 128 by 16.
49. What are the factors of 100?
50. Divide 200 by 25.
51. What are the factors of 42?
52. Divide 168 by 12.
53. What are the factors of 48?
54. Divide 225 by 15.
55. What are the factors of 64?
56. Divide 240 by 20.
57. What are the factors of 90?
58. Divide 300 by 15.
59. What are the factors of 75?
60. Divide 360 by 36.

Answers

Easy Level Answers

1. 1, 2, 5, 10
2. 4
3. 1, 3, 5, 15
4. 2
5. 1, 2, 3, 4, 6, 12
6. 6
7. 1, 2, 4, 8
8. 5
9. 1, 2, 4, 8, 16
10. 4
11. 1, 2, 3, 6
12. 7
13. 1, 3, 9
14. 3
15. 1, 2, 4
16. 4
17. 1, 5
18. 10
19. 1, 3
20. 9

Medium Level Answers

21. 1, 2, 3, 4, 6, 8, 12, 24
22. 6
23. 1, 2, 3, 4, 6, 9, 12, 18, 36
24. 9
25. 1, 2, 3, 5, 6, 10, 15, 30
26. 8
27. 1, 2, 3, 6, 9, 18
28. 6
29. 1, 2, 4, 5, 10, 20
30. 5
31. 1, 2, 4, 7, 14, 28
32. 7
33. 1, 3, 9, 27
34. 7
35. 1, 2
36. 7
37. 1, 2, 4, 5, 8, 10, 20, 40
38. 9
39. 1, 3, 5, 9, 15, 45
40. 8

Hard Level Answers

41. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
42. 12
43. 1, 3, 9, 27
44. 8
45. 1, 2, 4, 7, 8, 14, 28, 56
46. 9
47. 1, 3, 7, 9, 21, 63
48. 8
49. 1, 2, 4, 5, 10, 20, 25, 50, 100
50. 8
51. 1, 2, 3, 6, 7, 14, 21, 42
52. 14
53. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
54. 15
55. 1, 2, 4, 8, 16, 32, 64
56. 12
57. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
58. 20
59. 1, 3, 5, 15, 25, 75
60. 10

Now you have a better understanding of how to use factors to divide! Keep practicing with these questions, and you’ll become a division expert in no time!