Q: What are the prime factors of the number 250,013,394?

 A: 2, 3, 157, 88469

Why are those the prime factors of the number 250,013,394?

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 250,013,394

250,013,394
Factor Arrows
2125,006,697
Factor Arrows
341,668,899
Factor Arrows
313,889,633
Factor Arrows
15788,469

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, 157, 88469

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 157 x 88,469 = 250,013,394

This can also be written as 21 x 32 x 1571 x 88,4691 = 250,013,394

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


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