Q: What are the prime factors of the number 62,307,280?

 A: 2, 5, 7, 111263

Why are those the prime factors of the number 62,307,280?

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 62,307,280

62,307,280
Factor Arrows
231,153,640
Factor Arrows
215,576,820
Factor Arrows
27,788,410
Factor Arrows
23,894,205
Factor Arrows
5778,841
Factor Arrows
7111,263

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, 5, 7, 111263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 111,263 = 62,307,280

This can also be written as 24 x 51 x 71 x 111,2631 = 62,307,280

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


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