Q: What are the prime factors of the number 557,560,002?

 A: 2, 3, 181, 513407

Why are those the prime factors of the number 557,560,002?

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 557,560,002

557,560,002
Factor Arrows
2278,780,001
Factor Arrows
392,926,667
Factor Arrows
181513,407

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, 181, 513407

We can check our work by multiplying all of the prime factors together: 2 x 3 x 181 x 513,407 = 557,560,002

This can also be written as 21 x 31 x 1811 x 513,4071 = 557,560,002

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


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