Q: What are the prime factors of the number 206,642,536?

 A: 2, 25830317

Why are those the prime factors of the number 206,642,536?

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 206,642,536

206,642,536
Factor Arrows
2103,321,268
Factor Arrows
251,660,634
Factor Arrows
225,830,317

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, 25830317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 25,830,317 = 206,642,536

This can also be written as 23 x 25,830,3171 = 206,642,536

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


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