Q: What are the prime factors of the number 28,317,388?

 A: 2, 11, 41, 1427

Why are those the prime factors of the number 28,317,388?

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 28,317,388

28,317,388
Factor Arrows
214,158,694
Factor Arrows
27,079,347
Factor Arrows
11643,577
Factor Arrows
1158,507
Factor Arrows
411,427

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, 11, 41, 1427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 41 x 1,427 = 28,317,388

This can also be written as 22 x 112 x 411 x 1,4271 = 28,317,388

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


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