Chapter 11.2, Problem 6MRE

To determine

To find: The prime factorization of the given number.

Answer to Problem 6MRE

The prime factorization of the given number is $2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$ .

Explanation of Solution

Given information:

The given number is,

  $576$

The prime factorization of the given number is calculated as,

  $\begin{array}{c}576=2\times 288\\ =2\times 2\times 144\\ =2\times 2\times 12\times 12\\ =2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\end{array}$

Thus, the prime factorization of the given number is $2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$ .