Q: What are the prime factors of the number 704,552?

 A: 2, 88069

Why are those the prime factors of the number 704,552?

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 704,552

704,552
Factor Arrows
2352,276
Factor Arrows
2176,138
Factor Arrows
288,069

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, 88069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 88,069 = 704,552

This can also be written as 23 x 88,0691 = 704,552

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


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