Question

find the square root by prime factorisation 9631​

Answer 1

Answer:

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

Let's start by dividing 9,631 by 2

9,631 ÷ 2 = 4,815.5 - This has a remainder. Let's try another prime number.

9,631 ÷ 3 = 3,210.3333 - This has a remainder. Let's try another prime number.

9,631 ÷ 5 = 1,926.2 - This has a remainder. Let's try another prime number.

...

Keep trying increasingly larger numbers until you find one that divides evenly.

...

9,631 ÷ 9,631 = 1 - No remainder! 9,631 is one of the factors!

It can also be written in exponential form as 9,6311.