Q: What are the prime factors of the number 728,776?

 A: 2, 91097

Why are those the prime factors of the number 728,776?

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 728,776

728,776
Factor Arrows
2364,388
Factor Arrows
2182,194
Factor Arrows
291,097

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, 91097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 91,097 = 728,776

This can also be written as 23 x 91,0971 = 728,776

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


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