Q: What are the prime factors of the number 250,277,480?

 A: 2, 5, 6256937

Why are those the prime factors of the number 250,277,480?

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 250,277,480

250,277,480
Factor Arrows
2125,138,740
Factor Arrows
262,569,370
Factor Arrows
231,284,685
Factor Arrows
56,256,937

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, 6256937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 6,256,937 = 250,277,480

This can also be written as 23 x 51 x 6,256,9371 = 250,277,480

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


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