Q: What are the prime factors of the number 20,371,344?

 A: 2, 3, 7, 19, 3191

Why are those the prime factors of the number 20,371,344?

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 20,371,344

20,371,344
Factor Arrows
210,185,672
Factor Arrows
25,092,836
Factor Arrows
22,546,418
Factor Arrows
21,273,209
Factor Arrows
3424,403
Factor Arrows
760,629
Factor Arrows
193,191

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, 7, 19, 3191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 19 x 3,191 = 20,371,344

This can also be written as 24 x 31 x 71 x 191 x 3,1911 = 20,371,344

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


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