Chapter SH, Problem 9.2.15EP

To determine

The prime factorization of number and use exponents for the repeated factors.

  $117$

Answer to Problem 9.2.15EP

The prime factorization of $117$ is $3^2·13$

Explanation of Solution

Given:

Number: $117$

Prime factorization is nothing but the procedure where a number can expressed as the product of prime numbers.

The number can write as,

  $\begin{array}{l}117\\ 3·39\\ 3·3·13\end{array}$

That is

  $\begin{array}{l}117=3·3·13\\ 117=3^2·13\end{array}$

Conclusion:

Hence,the prime factorization of $117$ is $3^2·13$ .