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To find the prime factors of $10002$, the first step is to divide it with it's smallest prime factor. The smallest prime factor of $10002$ is the smallest prime which can divide it without leaving any remainder. Trying with the first few primes (2, 3, 5...), we find out that the smallest prime of $10002$ is $2$. $10002\div2=5001$. Then we need to repeatedly divide the quotient by $2$ until we get a number that is no more divisible by $2$. Next, we look for the next smallest prime number which can divide it, until we reach $1$.
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$5001$
Learn how to solve prime factor decomposition problems step by step online. Decompose 10002 in prime factors. To find the prime factors of 10002, the first step is to divide it with it's smallest prime factor. The smallest prime factor of 10002 is the smallest prime which can divide it without leaving any remainder. Trying with the first few primes (2, 3, 5...), we find out that the smallest prime of 10002 is 2. 10002\div2=5001. Then we need to repeatedly divide the quotient by 2 until we get a number that is no more divisible by 2. Next, we look for the next smallest prime number which can divide it, until we reach 1.. Dividing 5001 by the prime factor 3 gives us. Dividing 1667 by the prime factor 1667 gives us 1. We do not need to proceed further as we have obtained 1 as our result. Then, the prime factors of 10002 are.