Question

Determine the prime factorization of 350

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define Prime factorization.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. Examples of prime numbers are 2,3,5,7...etc.

STEP 2: Find the prime factors of the given number

Prime factorization of any number means to represent that number as a product of prime numbers.

We start by dividing the number by the lowest possible prime numbers.

STEP 3: Express 350 as a product of its prime factors

`\begin{gathered} \text{Prime factors}=2,5,5,7 \\ \text{Product of prime factors=}2*5*5*7 \\ =2*5^2*7 \end{gathered}`

Hence, the prime factorization of 350 is given as:

`2*5^2*7`