Q: What are the prime factors of the number 560,384,282?

 A: 2, 23, 223, 54629

Why are those the prime factors of the number 560,384,282?

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 560,384,282

560,384,282
Factor Arrows
2280,192,141
Factor Arrows
2312,182,267
Factor Arrows
22354,629

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, 23, 223, 54629

We can check our work by multiplying all of the prime factors together: 2 x 23 x 223 x 54,629 = 560,384,282

This can also be written as 21 x 231 x 2231 x 54,6291 = 560,384,282

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


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