Q: What are the prime factors of the number 207,050,136?

 A: 2, 3, 107, 80627

Why are those the prime factors of the number 207,050,136?

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 207,050,136

207,050,136
Factor Arrows
2103,525,068
Factor Arrows
251,762,534
Factor Arrows
225,881,267
Factor Arrows
38,627,089
Factor Arrows
10780,627

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, 3, 107, 80627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 107 x 80,627 = 207,050,136

This can also be written as 23 x 31 x 1071 x 80,6271 = 207,050,136

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


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