Q: What are the prime factors of the number 251,230,032?

 A: 2, 3, 581551

Why are those the prime factors of the number 251,230,032?

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 251,230,032

251,230,032
Factor Arrows
2125,615,016
Factor Arrows
262,807,508
Factor Arrows
231,403,754
Factor Arrows
215,701,877
Factor Arrows
35,233,959
Factor Arrows
31,744,653
Factor Arrows
3581,551

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, 581551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 581,551 = 251,230,032

This can also be written as 24 x 33 x 581,5511 = 251,230,032

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


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