Q: What are the prime factors of the number 103,776,680?

 A: 2, 5, 7, 370631

Why are those the prime factors of the number 103,776,680?

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 103,776,680

103,776,680
Factor Arrows
251,888,340
Factor Arrows
225,944,170
Factor Arrows
212,972,085
Factor Arrows
52,594,417
Factor Arrows
7370,631

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, 5, 7, 370631

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 370,631 = 103,776,680

This can also be written as 23 x 51 x 71 x 370,6311 = 103,776,680

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


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