Q: What are the prime factors of the number 542,767,604?

 A: 2, 19, 79, 90401

Why are those the prime factors of the number 542,767,604?

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 542,767,604

542,767,604
Factor Arrows
2271,383,802
Factor Arrows
2135,691,901
Factor Arrows
197,141,679
Factor Arrows
7990,401

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, 19, 79, 90401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 79 x 90,401 = 542,767,604

This can also be written as 22 x 191 x 791 x 90,4011 = 542,767,604

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


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