Q: What are the prime factors of the number 279,220?

 A: 2, 5, 23, 607

Why are those the prime factors of the number 279,220?

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 279,220

279,220
Factor Arrows
2139,610
Factor Arrows
269,805
Factor Arrows
513,961
Factor Arrows
23607

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, 23, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 23 x 607 = 279,220

This can also be written as 22 x 51 x 231 x 6071 = 279,220

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


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