Write the prime factorization of 176. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Question
Write the prime factorization of 176.
Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Solution
Sure, here are the steps to find the prime factorization of 176:
- Start by dividing the number by the smallest prime number, which is 2. 176 divided by 2 is 88.
- Continue dividing by 2. 88 divided by 2 is 44.
- Keep dividing by 2. 44 divided by 2 is 22.
- Divide by 2 again. 22 divided by 2 is 11.
- Now, 11 is a prime number, so you cannot divide it any further.
So, the prime factorization of 176 is 2^4 * 11.
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