Q: What are the prime factors of the number 259,711,644?

 A: 2, 3, 21642637

Why are those the prime factors of the number 259,711,644?

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 259,711,644

259,711,644
Factor Arrows
2129,855,822
Factor Arrows
264,927,911
Factor Arrows
321,642,637

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, 21642637

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 21,642,637 = 259,711,644

This can also be written as 22 x 31 x 21,642,6371 = 259,711,644

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


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