Using factor tree, prime factorise the following:
92

Answer

To prime factorize the number 92 using a factor tree, follow these steps:

### Step 1: Start with the number
Begin with the number 92.

### Step 2: Find the first factor
Since 92 is an even number, we can divide it by 2 (the smallest prime number).

\[ 92 \div 2 = 46 \]

So, we write this in our factor tree:

```
92
/ \
2 46
```

### Step 3: Factor the remaining number
Next, we take the number 46 and factor it again. Since 46 is also even, we can divide it by 2 again.

\[ 46 \div 2 = 23 \]

We add this to our factor tree:

```
92
/ \
2 46
/ \
2 23
```

### Step 4: Check if the remaining number is prime
Now, we have 23. We need to check if 23 is a prime number. Since 23 has no divisors other than 1 and itself, it is indeed a prime number.

### Step 5: Complete the factor tree
Now, we can complete our factor tree. The final factorization shows that:

\[ 92 = 2 \times 2 \times 23 \]

### Final Result
Thus, the prime factorization of 92 is:

\[ 92 = 2^2 \times 23 \]

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