Q: What are the prime factors of the number 377,450,768?

 A: 2, 71, 332263

Why are those the prime factors of the number 377,450,768?

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 377,450,768

377,450,768
Factor Arrows
2188,725,384
Factor Arrows
294,362,692
Factor Arrows
247,181,346
Factor Arrows
223,590,673
Factor Arrows
71332,263

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, 71, 332263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 71 x 332,263 = 377,450,768

This can also be written as 24 x 711 x 332,2631 = 377,450,768

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


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