Q: What are the prime factors of the number 710,176?

 A: 2, 22193

Why are those the prime factors of the number 710,176?

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 710,176

710,176
Factor Arrows
2355,088
Factor Arrows
2177,544
Factor Arrows
288,772
Factor Arrows
244,386
Factor Arrows
222,193

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, 22193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 22,193 = 710,176

This can also be written as 25 x 22,1931 = 710,176

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


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