Question

848241 square root prime factorisation method ​

Answer 1

Finding the prime factors of 848,241

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 848,241 by 2

848,241 ÷ 2 = 424,120.5 - This has a remainder. Let's try another prime number.

848,241 ÷ 3 = 282,747 - No remainder! 3 is one of the factors!