find the square root by prime factorisation 9631
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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.
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