Q: What are the prime factors of the number 377,776?

 A: 2, 7, 3373

Why are those the prime factors of the number 377,776?

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 377,776

377,776
Factor Arrows
2188,888
Factor Arrows
294,444
Factor Arrows
247,222
Factor Arrows
223,611
Factor Arrows
73,373

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, 7, 3373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 3,373 = 377,776

This can also be written as 24 x 71 x 3,3731 = 377,776

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


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