Q: What are the prime factors of the number 205,435,552?

 A: 2, 7, 917123

Why are those the prime factors of the number 205,435,552?

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 205,435,552

205,435,552
Factor Arrows
2102,717,776
Factor Arrows
251,358,888
Factor Arrows
225,679,444
Factor Arrows
212,839,722
Factor Arrows
26,419,861
Factor Arrows
7917,123

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, 917123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 917,123 = 205,435,552

This can also be written as 25 x 71 x 917,1231 = 205,435,552

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


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