Q: What are the prime factors of the number 62,017,504?

 A: 2, 263, 7369

Why are those the prime factors of the number 62,017,504?

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 62,017,504

62,017,504
Factor Arrows
231,008,752
Factor Arrows
215,504,376
Factor Arrows
27,752,188
Factor Arrows
23,876,094
Factor Arrows
21,938,047
Factor Arrows
2637,369

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, 263, 7369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 263 x 7,369 = 62,017,504

This can also be written as 25 x 2631 x 7,3691 = 62,017,504

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


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