Q: What are the prime factors of the number 300,670,488?

 A: 2, 3, 31, 83, 541

Why are those the prime factors of the number 300,670,488?

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 300,670,488

300,670,488
Factor Arrows
2150,335,244
Factor Arrows
275,167,622
Factor Arrows
237,583,811
Factor Arrows
312,527,937
Factor Arrows
34,175,979
Factor Arrows
31,391,993
Factor Arrows
3144,903
Factor Arrows
83541

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, 31, 83, 541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 31 x 83 x 541 = 300,670,488

This can also be written as 23 x 33 x 311 x 831 x 5411 = 300,670,488

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


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