Q: What are the prime factors of the number 123,377,056?

 A: 2, 11, 350503

Why are those the prime factors of the number 123,377,056?

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 123,377,056

123,377,056
Factor Arrows
261,688,528
Factor Arrows
230,844,264
Factor Arrows
215,422,132
Factor Arrows
27,711,066
Factor Arrows
23,855,533
Factor Arrows
11350,503

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, 11, 350503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 350,503 = 123,377,056

This can also be written as 25 x 111 x 350,5031 = 123,377,056

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


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