Q: What are the prime factors of the number 63,879,408?

 A: 2, 3, 67, 2207

Why are those the prime factors of the number 63,879,408?

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 63,879,408

63,879,408
Factor Arrows
231,939,704
Factor Arrows
215,969,852
Factor Arrows
27,984,926
Factor Arrows
23,992,463
Factor Arrows
31,330,821
Factor Arrows
3443,607
Factor Arrows
3147,869
Factor Arrows
672,207

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, 67, 2207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 67 x 2,207 = 63,879,408

This can also be written as 24 x 33 x 671 x 2,2071 = 63,879,408

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


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