Q: What are the prime factors of the number 20,949,912?

 A: 2, 3, 290971

Why are those the prime factors of the number 20,949,912?

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 20,949,912

20,949,912
Factor Arrows
210,474,956
Factor Arrows
25,237,478
Factor Arrows
22,618,739
Factor Arrows
3872,913
Factor Arrows
3290,971

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, 290971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 290,971 = 20,949,912

This can also be written as 23 x 32 x 290,9711 = 20,949,912

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


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