Chapter SR4, Problem 11P

Solution

The prime factorization of the number $88$ .

  $2\cdot 2\cdot 2\cdot 11\text{ or }{2}^3\cdot 11$

Given:

The number $88$ .

Concept Used:

Prime factorization of a number is writing a number as a product of prime numbers, where prime numbers are natural number greater than 1 whose have no other factor than 1 and itself.

Calculation:

In order to write the prime factorization of the number $88$ , divide the number starting with least prime factors until there is no more composite factors as shown below

  $\begin{array}{l}88\\ \swarrow \searrow \\ \text{ 2 }\cdot \text{ 44}\\ \swarrow \searrow \\ \text{ 2 }\cdot \text{ 22}\\ \swarrow \searrow \\ \text{ 2 }\cdot \text{ 11}\end{array}$

Thus, the prime factorization of $88$ is $2\cdot 2\cdot 2\cdot 11\text{ or }{2}^3\cdot 11$ .