Write the prime factorization of 75. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Question
Write the prime factorization of 75. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Solution
Sure, here is the prime factorization of 75:
- First, we find the smallest prime number, which is 2. But 75 is not divisible by 2. So, we move to the next prime number, which is 3. But 75 is not divisible by 3 either.
- The next prime number is 5. 75 is divisible by 5. So, we divide 75 by 5 and get 15.
- We continue with the number 15. It is also divisible by 5. So, we divide 15 by 5 and get 3.
- Now we have the number 3, which is a prime number itself.
So, the prime factorization of 75 is 5^2 * 3.
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