Q: What are the prime factors of the number 42,779,556?

 A: 2, 3, 396107

Why are those the prime factors of the number 42,779,556?

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 42,779,556

42,779,556
Factor Arrows
221,389,778
Factor Arrows
210,694,889
Factor Arrows
33,564,963
Factor Arrows
31,188,321
Factor Arrows
3396,107

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, 396107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 396,107 = 42,779,556

This can also be written as 22 x 33 x 396,1071 = 42,779,556

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


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