### Home > ACC6 > Chapter 6 Unit 6 > Lesson CC1: 6.1.4 > Problem6-54

6-54.

Express each of the following numbers as a product of its prime factors. Use exponents to represent repeated multiplication, when applicable. An example is given below.

$40=2·20=2·2·10=2·2·2·5=2^3·5$

1. $30$

• Use the example above as a guide if you are having trouble. You can also refer to parts (a) through (b) of problem 4-36 for help with prime factorization.

• $2·3·5$

1. $300$

• This problem is very similar to part (a). It may also be helpful to think about how 300 relates to 30. What prime factors could you multiply by 30 to get 300?

• $2^2·3·5^2$

1. $17$

• Is there any way to break $17$ down to prime factors?
It is possible for a number to be the only prime factor of itself.

1. $21$

• Follow the steps you used for parts (a) and (b).