Q: What are the prime factors of the number 62,814,848?

 A: 2, 490741

Why are those the prime factors of the number 62,814,848?

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 62,814,848

62,814,848
Factor Arrows
231,407,424
Factor Arrows
215,703,712
Factor Arrows
27,851,856
Factor Arrows
23,925,928
Factor Arrows
21,962,964
Factor Arrows
2981,482
Factor Arrows
2490,741

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, 490741

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 490,741 = 62,814,848

This can also be written as 27 x 490,7411 = 62,814,848

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


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