Q: What are the prime factors of the number 555,220,100?

 A: 2, 5, 5552201

Why are those the prime factors of the number 555,220,100?

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 555,220,100

555,220,100
Factor Arrows
2277,610,050
Factor Arrows
2138,805,025
Factor Arrows
527,761,005
Factor Arrows
55,552,201

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, 5, 5552201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5,552,201 = 555,220,100

This can also be written as 22 x 52 x 5,552,2011 = 555,220,100

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


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