Q: What are the prime factors of the number 780,875,844?

 A: 2, 3, 7, 101, 92041

Why are those the prime factors of the number 780,875,844?

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 780,875,844

780,875,844
Factor Arrows
2390,437,922
Factor Arrows
2195,218,961
Factor Arrows
365,072,987
Factor Arrows
79,296,141
Factor Arrows
10192,041

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, 3, 7, 101, 92041

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 101 x 92,041 = 780,875,844

This can also be written as 22 x 31 x 71 x 1011 x 92,0411 = 780,875,844

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


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