Q:

# What is the prime factorization of 27?

A:

The prime factorization of 27 is 3x3x3. To perform prime factorization on a number, the number is broken down until only prime numbers remain. The answer can be checked by multiplying the prime factors together to see if they equal the original number.

Know More

Prime factorization can be performed using a few different methods, but one of the most common is the factor tree. The original number is placed at the top of a piece of paper with two lines drawn below it to connect it to two of its factors. This process is then repeated for the factors over and over until the numbers on the bottom level of the tree are all prime.

Sources:

## Related Questions

• A:

To find prime numbers, use factorization to break down numbers and test whether they are prime or not. Numbers that are prime only have themselves and 1 as their factors; if they break down into other smaller numbers, they are not prime.

Filed Under:
• A:

The prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3. In exponential form, this is 25 x 3.

Filed Under:
• A:

The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.