Q: What are the prime factors of the number 374,011,504?

 A: 2, 19, 1230301

Why are those the prime factors of the number 374,011,504?

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 374,011,504

374,011,504
Factor Arrows
2187,005,752
Factor Arrows
293,502,876
Factor Arrows
246,751,438
Factor Arrows
223,375,719
Factor Arrows
191,230,301

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, 19, 1230301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 1,230,301 = 374,011,504

This can also be written as 24 x 191 x 1,230,3011 = 374,011,504

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


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