252 can be expressed as a product of primes as:
Question
252 can be expressed as a product of primes as:
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Solution
To express 252 as a product of primes, you need to perform prime factorization. Here are the steps:
- Start by finding the smallest prime number that can divide 252, which is 2. So, 252 divided by 2 is 126.
- Repeat the process with 126. The smallest prime number that can divide 126 is 2. So, 126 divided by 2 is 63.
- Repeat the process with 63. The smallest prime number that can divide 63 is 3. So, 63 divided by 3 is 21.
- Repeat the process with 21. The smallest prime number that can divide 21 is 3. So, 21 divided by 3 is 7.
- Now, 7 is a prime number itself, so the process stops here.
Therefore, 252 can be expressed as a product of primes as: 2 * 2 * 3 * 3 * 7.
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