Q: What are the prime factors of the number 255,565,716?

 A: 2, 3, 7, 3042449

Why are those the prime factors of the number 255,565,716?

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 255,565,716

255,565,716
Factor Arrows
2127,782,858
Factor Arrows
263,891,429
Factor Arrows
321,297,143
Factor Arrows
73,042,449

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, 7, 3042449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 3,042,449 = 255,565,716

This can also be written as 22 x 31 x 71 x 3,042,4491 = 255,565,716

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


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