Q: What are the prime factors of the number 631,104,532?

 A: 2, 17, 19, 47, 547

Why are those the prime factors of the number 631,104,532?

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 631,104,532

631,104,532
Factor Arrows
2315,552,266
Factor Arrows
2157,776,133
Factor Arrows
179,280,949
Factor Arrows
19488,471
Factor Arrows
1925,709
Factor Arrows
47547

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, 17, 19, 47, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 19 x 19 x 47 x 547 = 631,104,532

This can also be written as 22 x 171 x 192 x 471 x 5471 = 631,104,532

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


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