Q: What are the prime factors of the number 729,992?

 A: 2, 91249

Why are those the prime factors of the number 729,992?

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 729,992

729,992
Factor Arrows
2364,996
Factor Arrows
2182,498
Factor Arrows
291,249

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, 91249

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 91,249 = 729,992

This can also be written as 23 x 91,2491 = 729,992

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


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