Chapter 4.4, Problem 11OE

To determine

To find : the prime factorization of the given integer.

Answer to Problem 11OE

The prime factorization of $98=2\cdot 7^2$

Explanation of Solution

Given information :

The given integer:

  $98$

Calculation :

As per problem,

Try the primes, in order, as factors. Use each repeatedly until it is no longer a factor. Then try the next prime.

  $\begin{array}{l}98=2\cdot 49\\ =2\cdot 7\cdot 7\end{array}$

Therefore,

  $98=2\cdot 7^2$

The prime factorization of $98=2\cdot 7^2$