Q: What are the prime factors of the number 5,131,576?

 A: 2, 23, 167

Why are those the prime factors of the number 5,131,576?

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 5,131,576

5,131,576
Factor Arrows
22,565,788
Factor Arrows
21,282,894
Factor Arrows
2641,447
Factor Arrows
2327,889
Factor Arrows
167167

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, 23, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 167 x 167 = 5,131,576

This can also be written as 23 x 231 x 1672 = 5,131,576

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


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