Q: What are the prime factors of the number 560,248?

 A: 2, 13, 5387

Why are those the prime factors of the number 560,248?

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 560,248

560,248
Factor Arrows
2280,124
Factor Arrows
2140,062
Factor Arrows
270,031
Factor Arrows
135,387

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, 13, 5387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 5,387 = 560,248

This can also be written as 23 x 131 x 5,3871 = 560,248

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


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