Q: What are the prime factors of the number 250,366,024?

 A: 2, 109, 287117

Why are those the prime factors of the number 250,366,024?

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 250,366,024

250,366,024
Factor Arrows
2125,183,012
Factor Arrows
262,591,506
Factor Arrows
231,295,753
Factor Arrows
109287,117

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, 109, 287117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 109 x 287,117 = 250,366,024

This can also be written as 23 x 1091 x 287,1171 = 250,366,024

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


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