Q: What are the prime factors of the number 28,106,485?

 A: 5, 11, 46457

Why are those the prime factors of the number 28,106,485?

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 28,106,485

28,106,485
Factor Arrows
55,621,297
Factor Arrows
11511,027
Factor Arrows
1146,457

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:

5, 11, 46457

We can check our work by multiplying all of the prime factors together: 5 x 11 x 11 x 46,457 = 28,106,485

This can also be written as 51 x 112 x 46,4571 = 28,106,485

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


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