Q: What are the prime factors of the number 250,851,412?

 A: 2, 7, 113, 79283

Why are those the prime factors of the number 250,851,412?

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 250,851,412

250,851,412
Factor Arrows
2125,425,706
Factor Arrows
262,712,853
Factor Arrows
78,958,979
Factor Arrows
11379,283

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, 7, 113, 79283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 113 x 79,283 = 250,851,412

This can also be written as 22 x 71 x 1131 x 79,2831 = 250,851,412

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


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