Q: What are the prime factors of the number 28,101,772?

 A: 2, 569, 12347

Why are those the prime factors of the number 28,101,772?

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 28,101,772

28,101,772
Factor Arrows
214,050,886
Factor Arrows
27,025,443
Factor Arrows
56912,347

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, 569, 12347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 569 x 12,347 = 28,101,772

This can also be written as 22 x 5691 x 12,3471 = 28,101,772

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


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