Q: What are the prime factors of the number 62,362,048?

 A: 2, 7, 139201

Why are those the prime factors of the number 62,362,048?

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 62,362,048

62,362,048
Factor Arrows
231,181,024
Factor Arrows
215,590,512
Factor Arrows
27,795,256
Factor Arrows
23,897,628
Factor Arrows
21,948,814
Factor Arrows
2974,407
Factor Arrows
7139,201

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, 139201

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 7 x 139,201 = 62,362,048

This can also be written as 26 x 71 x 139,2011 = 62,362,048

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


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