Q: What are the prime factors of the number 62,207,364?

 A: 2, 3, 23, 257, 877

Why are those the prime factors of the number 62,207,364?

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 62,207,364

62,207,364
Factor Arrows
231,103,682
Factor Arrows
215,551,841
Factor Arrows
35,183,947
Factor Arrows
23225,389
Factor Arrows
257877

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, 23, 257, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 257 x 877 = 62,207,364

This can also be written as 22 x 31 x 231 x 2571 x 8771 = 62,207,364

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


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