What is the prime factorization for 49?

The prime factorization of 49 is calculated by finding the prime numbers that can be multiplied together to get the number 49.

To find the prime factorization of 49, we start by dividing it by the smallest prime number, which is 2. However, 49 is an odd number, so it is not divisible by 2.

We then move to the next prime number, which is 3. 49 divided by 3 is not an integer, so it is not divisible by 3 either.

We continue to the next prime number, which is 5. Again, 49 divided by 5 is not an integer, so it is not divisible by 5.

Finally, we reach the prime number 7. 49 divided by 7 is equal to 7, which is an integer. Therefore, the prime factorization of 49 is 7 * 7, or simply 7².

In summary, the prime factorization of 49 is 7².