Q: What are the prime factors of the number 31,804,600?

 A: 2, 5, 159023

Why are those the prime factors of the number 31,804,600?

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 31,804,600

31,804,600
Factor Arrows
215,902,300
Factor Arrows
27,951,150
Factor Arrows
23,975,575
Factor Arrows
5795,115
Factor Arrows
5159,023

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, 159023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 159,023 = 31,804,600

This can also be written as 23 x 52 x 159,0231 = 31,804,600

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


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