Q: What are the prime factors of the number 62,023,552?

 A: 2, 151, 3209

Why are those the prime factors of the number 62,023,552?

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 62,023,552

62,023,552
Factor Arrows
231,011,776
Factor Arrows
215,505,888
Factor Arrows
27,752,944
Factor Arrows
23,876,472
Factor Arrows
21,938,236
Factor Arrows
2969,118
Factor Arrows
2484,559
Factor Arrows
1513,209

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, 151, 3209

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 2 x 151 x 3,209 = 62,023,552

This can also be written as 27 x 1511 x 3,2091 = 62,023,552

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


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