Q: What are the prime factors of the number 60,402,904?

 A: 2, 17, 601, 739

Why are those the prime factors of the number 60,402,904?

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 60,402,904

60,402,904
Factor Arrows
230,201,452
Factor Arrows
215,100,726
Factor Arrows
27,550,363
Factor Arrows
17444,139
Factor Arrows
601739

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, 17, 601, 739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 601 x 739 = 60,402,904

This can also be written as 23 x 171 x 6011 x 7391 = 60,402,904

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


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