Q: What are the prime factors of the number 200,904,776?

 A: 2, 17, 277, 5333

Why are those the prime factors of the number 200,904,776?

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 200,904,776

200,904,776
Factor Arrows
2100,452,388
Factor Arrows
250,226,194
Factor Arrows
225,113,097
Factor Arrows
171,477,241
Factor Arrows
2775,333

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, 17, 277, 5333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 277 x 5,333 = 200,904,776

This can also be written as 23 x 171 x 2771 x 5,3331 = 200,904,776

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


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