Q: What are the prime factors of the number 554,420,572?

 A: 2, 97, 103, 13873

Why are those the prime factors of the number 554,420,572?

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 554,420,572

554,420,572
Factor Arrows
2277,210,286
Factor Arrows
2138,605,143
Factor Arrows
971,428,919
Factor Arrows
10313,873

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, 97, 103, 13873

We can check our work by multiplying all of the prime factors together: 2 x 2 x 97 x 103 x 13,873 = 554,420,572

This can also be written as 22 x 971 x 1031 x 13,8731 = 554,420,572

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


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