Q: What are the prime factors of the number 22,231,672?

 A: 2, 19, 37, 59, 67

Why are those the prime factors of the number 22,231,672?

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 22,231,672

22,231,672
Factor Arrows
211,115,836
Factor Arrows
25,557,918
Factor Arrows
22,778,959
Factor Arrows
19146,261
Factor Arrows
373,953
Factor Arrows
5967

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, 19, 37, 59, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 37 x 59 x 67 = 22,231,672

This can also be written as 23 x 191 x 371 x 591 x 671 = 22,231,672

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


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