Q: What are the prime factors of the number 20,601,999?

 A: 3, 11, 71, 977

Why are those the prime factors of the number 20,601,999?

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 20,601,999

20,601,999
Factor Arrows
36,867,333
Factor Arrows
32,289,111
Factor Arrows
3763,037
Factor Arrows
1169,367
Factor Arrows
71977

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:

3, 11, 71, 977

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 71 x 977 = 20,601,999

This can also be written as 33 x 111 x 711 x 9771 = 20,601,999

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


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