Write the prime factorization of 60. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Question
Write the prime factorization of 60. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Solution
The prime factorization of a number is the expression of that number as a product of prime numbers. Here are the steps to find the prime factorization of 60:
- Start by dividing the number 60 with the smallest prime number, which is 2. 60 divided by 2 is 30.
- Continue to divide 30 by 2. The result is 15.
- Now, 15 cannot be divided evenly by 2, so we move on to the next prime number, which is 3. 15 divided by 3 is 5.
- Finally, 5 is a prime number itself, so our process stops here.
So, the prime factorization of 60 is 2^2 * 3 * 5. This means that 60 is the product of two 2's, one 3, and one 5.
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