Prime Factors of 10001

In this article, we will look at the Prime factors of 10001 and the steps to find prime factors of 10001

What are prime factors?

Prime factors are the factors of a given number that are prime numbers. A prime number refers to an integer greater than one that is only divisible by itself and 1. For Instance, the Prime factors of 10001 are all the prime numbers that you can multiply to get 10001

List of Prime factors of  10001

73 X 137

How to find prime factors of 10001

Step 1: Divide 10001 by the smallest number possible

Step 2: Divide the result with the smallest number possible again

Step 3: Repeat this process until you get a non-zero remainder

In our case, the prime factors are: 73 X 137


  • Prime numbers greater than 1 only have one prime factor which is the number itself (This means they have no prime numbers less than themselves)
  • Composite numbers have prime numbers which are less than themselves

Prime Factor Tree of 10001

From the image you can see the prime factors are: 73 X 137

What are the factors of 10001?

1, 73, 137, 10001

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