Q: What are the prime factors of the number 62,630,208?

 A: 2, 3, 227, 479

Why are those the prime factors of the number 62,630,208?

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 62,630,208

62,630,208
Factor Arrows
231,315,104
Factor Arrows
215,657,552
Factor Arrows
27,828,776
Factor Arrows
23,914,388
Factor Arrows
21,957,194
Factor Arrows
2978,597
Factor Arrows
3326,199
Factor Arrows
3108,733
Factor Arrows
227479

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, 227, 479

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 3 x 227 x 479 = 62,630,208

This can also be written as 26 x 32 x 2271 x 4791 = 62,630,208

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


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