Draw a factor tree for
24

Answer

To draw a factor tree for the number 24, we will break it down into its factors until we reach prime numbers. Here’s a step-by-step solution:

### Step 1: Start with the number 24
We begin with the number 24 at the top of our factor tree.

### Step 2: Find two factors of 24
We can break down 24 into two factors. One possible pair of factors is:
- 2 and 12

So, we write:
```
24
/ \
2 12
```

### Step 3: Break down 12 further
Next, we need to break down 12 since it is not a prime number. We can factor 12 into:
- 3 and 4

Now our tree looks like this:
```
24
/ \
2 12
/ \
3 4
```

### Step 4: Break down 4 further
Now, we need to break down 4, which is also not prime. We can factor 4 into:
- 2 and 2

Now our tree looks like this:
```
24
/ \
2 12
/ \
3 4
/ \
2 2
```

### Step 5: Identify all prime factors
At this point, all the numbers at the ends of the branches (2, 3, 2, 2) are prime numbers. Therefore, we have completed our factor tree.

### Alternative Factor Trees
There are other ways to draw the factor tree for 24. Here are two more examples:

1. **Using 4 and 6:**
```
24
/ \
4 6
/ \ / \
2 2 2 3
```

2. **Using 3 and 8:**
```
24
/ \
3 8
/ \
4 2
/ \
2 2
```

### Final Result
The prime factorization of 24 is:
- 2 × 2 × 2 × 3 (or \(2^3 \times 3\))