Q: What are the prime factors of the number 173,855,637?

 A: 3, 37, 163, 3203

Why are those the prime factors of the number 173,855,637?

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 173,855,637

173,855,637
Factor Arrows
357,951,879
Factor Arrows
319,317,293
Factor Arrows
37522,089
Factor Arrows
1633,203

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:

3, 37, 163, 3203

We can check our work by multiplying all of the prime factors together: 3 x 3 x 37 x 163 x 3,203 = 173,855,637

This can also be written as 32 x 371 x 1631 x 3,2031 = 173,855,637

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


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