Q: What are the prime factors of the number 542,104,325?

 A: 5, 7, 3097739

Why are those the prime factors of the number 542,104,325?

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 542,104,325

542,104,325
Factor Arrows
5108,420,865
Factor Arrows
521,684,173
Factor Arrows
73,097,739

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:

5, 7, 3097739

We can check our work by multiplying all of the prime factors together: 5 x 5 x 7 x 3,097,739 = 542,104,325

This can also be written as 52 x 71 x 3,097,7391 = 542,104,325

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


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