Q: What are the prime factors of the number 207,503,613?

 A: 3, 29, 88337

Why are those the prime factors of the number 207,503,613?

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 207,503,613

207,503,613
Factor Arrows
369,167,871
Factor Arrows
323,055,957
Factor Arrows
37,685,319
Factor Arrows
32,561,773
Factor Arrows
2988,337

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, 29, 88337

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 29 x 88,337 = 207,503,613

This can also be written as 34 x 291 x 88,3371 = 207,503,613

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


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