Q: What are the prime factors of the number 20,045,298?

 A: 2, 3, 7, 13, 36713

Why are those the prime factors of the number 20,045,298?

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 20,045,298

20,045,298
Factor Arrows
210,022,649
Factor Arrows
33,340,883
Factor Arrows
7477,269
Factor Arrows
1336,713

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, 13, 36713

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 13 x 36,713 = 20,045,298

This can also be written as 21 x 31 x 71 x 131 x 36,7131 = 20,045,298

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


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