Q: What are the prime factors of the number 27,841,482?

 A: 2, 3, 57287

Why are those the prime factors of the number 27,841,482?

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 27,841,482

27,841,482
Factor Arrows
213,920,741
Factor Arrows
34,640,247
Factor Arrows
31,546,749
Factor Arrows
3515,583
Factor Arrows
3171,861
Factor Arrows
357,287

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, 57287

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 57,287 = 27,841,482

This can also be written as 21 x 35 x 57,2871 = 27,841,482

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


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