Q: What are the prime factors of the number 279,232?

 A: 2, 4363

Why are those the prime factors of the number 279,232?

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 279,232

279,232
Factor Arrows
2139,616
Factor Arrows
269,808
Factor Arrows
234,904
Factor Arrows
217,452
Factor Arrows
28,726
Factor Arrows
24,363

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, 4363

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 4,363 = 279,232

This can also be written as 26 x 4,3631 = 279,232

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


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