Q: What are the prime factors of the number 62,208,272?

 A: 2, 7, 43, 12917

Why are those the prime factors of the number 62,208,272?

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 62,208,272

62,208,272
Factor Arrows
231,104,136
Factor Arrows
215,552,068
Factor Arrows
27,776,034
Factor Arrows
23,888,017
Factor Arrows
7555,431
Factor Arrows
4312,917

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, 7, 43, 12917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 43 x 12,917 = 62,208,272

This can also be written as 24 x 71 x 431 x 12,9171 = 62,208,272

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


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