Q: What are the prime factors of the number 250,546,104?

 A: 2, 3, 3479807

Why are those the prime factors of the number 250,546,104?

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 250,546,104

250,546,104
Factor Arrows
2125,273,052
Factor Arrows
262,636,526
Factor Arrows
231,318,263
Factor Arrows
310,439,421
Factor Arrows
33,479,807

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, 3479807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3,479,807 = 250,546,104

This can also be written as 23 x 32 x 3,479,8071 = 250,546,104

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


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