Q: What are the prime factors of the number 250,474,675?

 A: 5, 11, 910817

Why are those the prime factors of the number 250,474,675?

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 250,474,675

250,474,675
Factor Arrows
550,094,935
Factor Arrows
510,018,987
Factor Arrows
11910,817

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:

5, 11, 910817

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 910,817 = 250,474,675

This can also be written as 52 x 111 x 910,8171 = 250,474,675

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


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