Q: What are the prime factors of the number 63,438,504?

 A: 2, 3, 101, 26171

Why are those the prime factors of the number 63,438,504?

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 63,438,504

63,438,504
Factor Arrows
231,719,252
Factor Arrows
215,859,626
Factor Arrows
27,929,813
Factor Arrows
32,643,271
Factor Arrows
10126,171

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, 3, 101, 26171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 101 x 26,171 = 63,438,504

This can also be written as 23 x 31 x 1011 x 26,1711 = 63,438,504

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


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