Q: What are the prime factors of the number 555,056,220?

 A: 2, 3, 5, 9250937

Why are those the prime factors of the number 555,056,220?

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 555,056,220

555,056,220
Factor Arrows
2277,528,110
Factor Arrows
2138,764,055
Factor Arrows
346,254,685
Factor Arrows
59,250,937

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, 5, 9250937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 9,250,937 = 555,056,220

This can also be written as 22 x 31 x 51 x 9,250,9371 = 555,056,220

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


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