Q: What are the prime factors of the number 25,870,384?

 A: 2, 1616899

Why are those the prime factors of the number 25,870,384?

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 25,870,384

25,870,384
Factor Arrows
212,935,192
Factor Arrows
26,467,596
Factor Arrows
23,233,798
Factor Arrows
21,616,899

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, 1616899

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,616,899 = 25,870,384

This can also be written as 24 x 1,616,8991 = 25,870,384

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


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