### Home > MC1 > Chapter 3 > Lesson 3.4.5 > Problem3-153

3-153.

Express each of the following number as a product of its prime factors. Use exponents to represent repeated multiplication, when applicable. An example is given below. $40 = 2 \cdot 20 = 2 \cdot 2 \cdot 10 = 2 \cdot 2 \cdot 2 \cdot 5 = 2 ^ { 3 } \cdot 5$

1.  $30$

Use the example above as a guide if you are having trouble. You can also refer to problem 3-64 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 did for parts (a) and (b).