Q: What are the prime factors of the number 207,030,744?

 A: 2, 3, 2875427

Why are those the prime factors of the number 207,030,744?

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 207,030,744

207,030,744
Factor Arrows
2103,515,372
Factor Arrows
251,757,686
Factor Arrows
225,878,843
Factor Arrows
38,626,281
Factor Arrows
32,875,427

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, 2875427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 2,875,427 = 207,030,744

This can also be written as 23 x 32 x 2,875,4271 = 207,030,744

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


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