Q: What are the prime factors of the number 250,032,408?

 A: 2, 3, 10418017

Why are those the prime factors of the number 250,032,408?

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 250,032,408

250,032,408
Factor Arrows
2125,016,204
Factor Arrows
262,508,102
Factor Arrows
231,254,051
Factor Arrows
310,418,017

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, 10418017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 10,418,017 = 250,032,408

This can also be written as 23 x 31 x 10,418,0171 = 250,032,408

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


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