Write the prime factorization of 30. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Question
Write the prime factorization of 30. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Solution
Sure, here is the prime factorization of 30:
-
First, we find the smallest prime number, which is 2. We see if it can divide 30. It can, because 30 is an even number. So, we write down 2 as one of the prime factors.
-
We then divide 30 by 2, which gives us 15.
-
The next prime number after 2 is 3. We see if 3 can divide 15. It can, so we write down 3 as another prime factor.
-
We then divide 15 by 3, which gives us 5.
-
The next prime number after 3 is 5. We see if 5 can divide 5. It can, so we write down 5 as another prime factor.
-
We then divide 5 by 5, which gives us 1. When we reach 1, we know we're done.
So, the prime factorization of 30 is 2 * 3 * 5.
Similar Questions
Write the prime factorization of 60. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Write the prime factorization of 22. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Write the prime factorization of 275. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Write the prime factorization of 175. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.