Q: What are the prime factors of the number 28,120,812?

 A: 2, 3, 23, 139, 733

Why are those the prime factors of the number 28,120,812?

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 28,120,812

28,120,812
Factor Arrows
214,060,406
Factor Arrows
27,030,203
Factor Arrows
32,343,401
Factor Arrows
23101,887
Factor Arrows
139733

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, 23, 139, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 139 x 733 = 28,120,812

This can also be written as 22 x 31 x 231 x 1391 x 7331 = 28,120,812

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


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