Q: What are the prime factors of the number 555,000,200?

 A: 2, 5, 2775001

Why are those the prime factors of the number 555,000,200?

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 555,000,200

555,000,200
Factor Arrows
2277,500,100
Factor Arrows
2138,750,050
Factor Arrows
269,375,025
Factor Arrows
513,875,005
Factor Arrows
52,775,001

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, 2775001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 2,775,001 = 555,000,200

This can also be written as 23 x 52 x 2,775,0011 = 555,000,200

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


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