Q: What are the prime factors of the number 246,321,560?

 A: 2, 5, 229, 26891

Why are those the prime factors of the number 246,321,560?

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 246,321,560

246,321,560
Factor Arrows
2123,160,780
Factor Arrows
261,580,390
Factor Arrows
230,790,195
Factor Arrows
56,158,039
Factor Arrows
22926,891

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, 229, 26891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 229 x 26,891 = 246,321,560

This can also be written as 23 x 51 x 2291 x 26,8911 = 246,321,560

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


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