Q: What are the prime factors of the number 63,626,067?

 A: 3, 601, 1307

Why are those the prime factors of the number 63,626,067?

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 63,626,067

63,626,067
Factor Arrows
321,208,689
Factor Arrows
37,069,563
Factor Arrows
32,356,521
Factor Arrows
3785,507
Factor Arrows
6011,307

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, 601, 1307

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 601 x 1,307 = 63,626,067

This can also be written as 34 x 6011 x 1,3071 = 63,626,067

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


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