factorize the following numbers into the prime factors
157573

Explanation

To factorize the number 157573 into its prime factors, we will follow a systematic approach:

### Step 1: Check for divisibility by the smallest prime numbers
We start by checking if 157573 is divisible by the smallest prime numbers, such as 2, 3, 5, 7, 11, and so on.

- **Divisibility by 2**: 157573 is odd, so it is not divisible by 2.
- **Divisibility by 3**: The sum of the digits (1 + 5 + 7 + 5 + 7 + 3 = 28) is not divisible by 3, so 157573 is not divisible by 3.
- **Divisibility by 5**: The last digit is 3, so it is not divisible by 5.
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