Q: What are the prime factors of the number 6,370,368?

 A: 2, 3, 33179

Why are those the prime factors of the number 6,370,368?

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 6,370,368

6,370,368
Factor Arrows
23,185,184
Factor Arrows
21,592,592
Factor Arrows
2796,296
Factor Arrows
2398,148
Factor Arrows
2199,074
Factor Arrows
299,537
Factor Arrows
333,179

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, 33179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 33,179 = 6,370,368

This can also be written as 26 x 31 x 33,1791 = 6,370,368

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


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