Express 100 as a Product of Prime Factors

Now a and b cant be both greater than the square root of n since then the product a b would be greater than sqrtn sqrtn n. For example consider 3.

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Whereas 8 which is a composite number can be written as 1 8 and 2 4.

. So in any factorization of n at least one of the factors must be smaller than the square root of n and if we cant find any factors less than or equal to the square root n must be a prime. The following diagrammatic illustration shows the prime numbers between 1 and 100. A prime number can be written as a product of only two numbers.

Now 3 can be written in the form of the product of two numbers in only one way ie 1 3.

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