Q: What are the prime factors of the number 62,792,556?

 A: 2, 3, 43, 73, 1667

Why are those the prime factors of the number 62,792,556?

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 62,792,556

62,792,556
Factor Arrows
231,396,278
Factor Arrows
215,698,139
Factor Arrows
35,232,713
Factor Arrows
43121,691
Factor Arrows
731,667

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, 3, 43, 73, 1667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 73 x 1,667 = 62,792,556

This can also be written as 22 x 31 x 431 x 731 x 1,6671 = 62,792,556

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


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