Factors Worksheets - Free Printable

I'll solve this worksheet step by step, explaining how to complete each Venn diagram.

First, let's understand what factors are:

Factors are numbers that divide evenly into another number without leaving a remainder.

Let's solve each Venn diagram:

1. Factors of 21 and Factors of 24
- Factors of 21: 1, 3, 7, 21
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors (intersection): 1, 3
- Factors only of 21: 7, 21
- Factors only of 24: 2, 4, 6, 8, 12, 24

2. Factors of 16 and Factors of 20
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 20: 1, 2, 4, 5, 10, 20
- Common factors (intersection): 1, 2, 4
- Factors only of 16: 8, 16
- Factors only of 20: 5, 10, 20

3. Factors of 21 and Factors of 49
- Factors of 21: 1, 3, 7, 21
- Factors of 49: 1, 7, 49
- Common factors (intersection): 1, 7
- Factors only of 21: 3, 21
- Factors only of 49: 49

4. Factors of 15 and Factors of 18
- Factors of 15: 1, 3, 5, 15
- Factors of 18: 1, 2, 3, 6, 9, 18
- Common factors (intersection): 1, 3
- Factors only of 15: 5, 15
- Factors only of 18: 2, 6, 9, 18

5. The last diagram (with labels to write)
Looking at the numbers:
- Left circle: 3, 4, 6, 12
- Right circle: 1, 5, 10
- Intersection: 2

This appears to be Factors of 12 and Factors of 10.
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 10: 1, 2, 5, 10
- Common factors: 1, 2
- But in the diagram, 1 is only in the right circle, which is incorrect based on standard factorization.

Actually, looking more carefully, this might be Factors of 12 and Factors of 10, but with an error in placement. The correct placement should be:
- Left (Factors of 12): 3, 4, 6, 12
- Right (Factors of 10): 5, 10
- Intersection (Common factors): 1, 2

So the labels should be "Factors of 12" for the left section and "Factors of 10" for the right section.

The completed worksheet would have all the numbers placed correctly in their respective sections of the Venn diagrams as described above.