Q: What are the prime factors of the number 250,367,484?

 A: 2, 3, 19, 41, 26783

Why are those the prime factors of the number 250,367,484?

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 250,367,484

250,367,484
Factor Arrows
2125,183,742
Factor Arrows
262,591,871
Factor Arrows
320,863,957
Factor Arrows
191,098,103
Factor Arrows
4126,783

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, 19, 41, 26783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 41 x 26,783 = 250,367,484

This can also be written as 22 x 31 x 191 x 411 x 26,7831 = 250,367,484

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


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