Chapter 5.1, Problem 26WE

To determine

To find: The prime factorization of given number.

Answer to Problem 26WE

The prime factorization of 88 is $88=2\times 2\times 2\times 11=2^3\times 11$ .

Explanation of Solution

Given information:

The given number is 88.

Formula used:

The factors of an integer z are the prime numbers $p_1,p_2,p_3\dots$ , such that $z=p_1\times p_2\times p_3\times \dots \times p_n$ . The expression $z=p_1\times p_2\times p_3\times \dots \times p_n$ is called the prime factorization of integer z.

Calculations:

The given number is 88.

In factor form the integer 88 can be written as

  $88=2\times 2\times 2\times 11$

The numbers 2 and 11 are prime numbers.

Hence, the prime factors of integer 88 are 2, 2, 2 and 11. Therefore, the prime factorization of 88 is $88=2\times 2\times 2\times 11=2^3\times 11$ .

Conclusion:

The prime factorization of 88 is $88=2\times 2\times 2\times 11=2^3\times 11$ .