Q: What are the prime factors of the number 62,561,792?

 A: 2, 71, 1721

Why are those the prime factors of the number 62,561,792?

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 62,561,792

62,561,792
Factor Arrows
231,280,896
Factor Arrows
215,640,448
Factor Arrows
27,820,224
Factor Arrows
23,910,112
Factor Arrows
21,955,056
Factor Arrows
2977,528
Factor Arrows
2488,764
Factor Arrows
2244,382
Factor Arrows
2122,191
Factor Arrows
711,721

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, 71, 1721

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 2 x 2 x 71 x 1,721 = 62,561,792

This can also be written as 29 x 711 x 1,7211 = 62,561,792

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


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