Q: What are the prime factors of the number 377,511,104?

 A: 2, 43, 137177

Why are those the prime factors of the number 377,511,104?

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 377,511,104

377,511,104
Factor Arrows
2188,755,552
Factor Arrows
294,377,776
Factor Arrows
247,188,888
Factor Arrows
223,594,444
Factor Arrows
211,797,222
Factor Arrows
25,898,611
Factor Arrows
43137,177

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, 43, 137177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 43 x 137,177 = 377,511,104

This can also be written as 26 x 431 x 137,1771 = 377,511,104

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


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