Q: What are the prime factors of the number 674,337,672?

 A: 2, 3, 9365801

Why are those the prime factors of the number 674,337,672?

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 674,337,672

674,337,672
Factor Arrows
2337,168,836
Factor Arrows
2168,584,418
Factor Arrows
284,292,209
Factor Arrows
328,097,403
Factor Arrows
39,365,801

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, 9365801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 9,365,801 = 674,337,672

This can also be written as 23 x 32 x 9,365,8011 = 674,337,672

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


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