Q: What are the prime factors of the number 520,542,642?

 A: 2, 3, 41, 2116027

Why are those the prime factors of the number 520,542,642?

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 520,542,642

520,542,642
Factor Arrows
2260,271,321
Factor Arrows
386,757,107
Factor Arrows
412,116,027

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, 41, 2116027

We can check our work by multiplying all of the prime factors together: 2 x 3 x 41 x 2,116,027 = 520,542,642

This can also be written as 21 x 31 x 411 x 2,116,0271 = 520,542,642

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


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