Q: What are the prime factors of the number 207,052,275?

 A: 3, 5, 2760697

Why are those the prime factors of the number 207,052,275?

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 207,052,275

207,052,275
Factor Arrows
369,017,425
Factor Arrows
513,803,485
Factor Arrows
52,760,697

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:

3, 5, 2760697

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 2,760,697 = 207,052,275

This can also be written as 31 x 52 x 2,760,6971 = 207,052,275

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


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