Q: What are the prime factors of the number 62,614,112?

 A: 2, 11, 103, 157

Why are those the prime factors of the number 62,614,112?

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 62,614,112

62,614,112
Factor Arrows
231,307,056
Factor Arrows
215,653,528
Factor Arrows
27,826,764
Factor Arrows
23,913,382
Factor Arrows
21,956,691
Factor Arrows
11177,881
Factor Arrows
1116,171
Factor Arrows
103157

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, 11, 103, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 11 x 103 x 157 = 62,614,112

This can also be written as 25 x 112 x 1031 x 1571 = 62,614,112

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


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