Q: What are the prime factors of the number 880,928?

 A: 2, 27529

Why are those the prime factors of the number 880,928?

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 880,928

880,928
Factor Arrows
2440,464
Factor Arrows
2220,232
Factor Arrows
2110,116
Factor Arrows
255,058
Factor Arrows
227,529

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, 27529

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 27,529 = 880,928

This can also be written as 25 x 27,5291 = 880,928

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


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