Q: What are the prime factors of the number 323,103,100?

 A: 2, 5, 181, 17851

Why are those the prime factors of the number 323,103,100?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 323,103,100

323,103,100
Factor Arrows
2161,551,550
Factor Arrows
280,775,775
Factor Arrows
516,155,155
Factor Arrows
53,231,031
Factor Arrows
18117,851

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 181, 17851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 181 x 17,851 = 323,103,100

This can also be written as 22 x 52 x 1811 x 17,8511 = 323,103,100

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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