Q: What are the prime factors of the number 250,326,440?

 A: 2, 5, 7, 13, 68771

Why are those the prime factors of the number 250,326,440?

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 250,326,440

250,326,440
Factor Arrows
2125,163,220
Factor Arrows
262,581,610
Factor Arrows
231,290,805
Factor Arrows
56,258,161
Factor Arrows
7894,023
Factor Arrows
1368,771

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, 5, 7, 13, 68771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 13 x 68,771 = 250,326,440

This can also be written as 23 x 51 x 71 x 131 x 68,7711 = 250,326,440

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


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