Q: What are the prime factors of the number 371,776,544?

 A: 2, 1459, 7963

Why are those the prime factors of the number 371,776,544?

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 371,776,544

371,776,544
Factor Arrows
2185,888,272
Factor Arrows
292,944,136
Factor Arrows
246,472,068
Factor Arrows
223,236,034
Factor Arrows
211,618,017
Factor Arrows
1,4597,963

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, 1459, 7963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,459 x 7,963 = 371,776,544

This can also be written as 25 x 1,4591 x 7,9631 = 371,776,544

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


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