Q: What are the prime factors of the number 674,475,748?

 A: 2, 17, 41, 241921

Why are those the prime factors of the number 674,475,748?

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 674,475,748

674,475,748
Factor Arrows
2337,237,874
Factor Arrows
2168,618,937
Factor Arrows
179,918,761
Factor Arrows
41241,921

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, 17, 41, 241921

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 41 x 241,921 = 674,475,748

This can also be written as 22 x 171 x 411 x 241,9211 = 674,475,748

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


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