Q: What are the prime factors of the number 22,433,416?

 A: 2, 53, 157, 337

Why are those the prime factors of the number 22,433,416?

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 22,433,416

22,433,416
Factor Arrows
211,216,708
Factor Arrows
25,608,354
Factor Arrows
22,804,177
Factor Arrows
5352,909
Factor Arrows
157337

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, 53, 157, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 53 x 157 x 337 = 22,433,416

This can also be written as 23 x 531 x 1571 x 3371 = 22,433,416

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


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