Question

find the square root of the following number by prim factorization 9604​

Answer 1

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a. quotient of 1.

Here are the first several prime factors : 2,3,5,7,11,13,17,19,23,29....

Let's start by dividing 9,604 by 2

9,604 ÷2 =4,802