Q: What are the prime factors of the number 627,192?

 A: 2, 3, 31, 281

Why are those the prime factors of the number 627,192?

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 627,192

627,192
Factor Arrows
2313,596
Factor Arrows
2156,798
Factor Arrows
278,399
Factor Arrows
326,133
Factor Arrows
38,711
Factor Arrows
31281

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, 3, 31, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 31 x 281 = 627,192

This can also be written as 23 x 32 x 311 x 2811 = 627,192

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


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