Q: What are the prime factors of the number 200,454,268?

 A: 2, 7, 53, 135077

Why are those the prime factors of the number 200,454,268?

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 200,454,268

200,454,268
Factor Arrows
2100,227,134
Factor Arrows
250,113,567
Factor Arrows
77,159,081
Factor Arrows
53135,077

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, 7, 53, 135077

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 53 x 135,077 = 200,454,268

This can also be written as 22 x 71 x 531 x 135,0771 = 200,454,268

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


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