Q: What are the prime factors of the number 424,500,560?

 A: 2, 5, 11, 482387

Why are those the prime factors of the number 424,500,560?

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 424,500,560

424,500,560
Factor Arrows
2212,250,280
Factor Arrows
2106,125,140
Factor Arrows
253,062,570
Factor Arrows
226,531,285
Factor Arrows
55,306,257
Factor Arrows
11482,387

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, 5, 11, 482387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 11 x 482,387 = 424,500,560

This can also be written as 24 x 51 x 111 x 482,3871 = 424,500,560

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


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