Q: What are the prime factors of the number 20,209,156?

 A: 2, 11, 71, 6469

Why are those the prime factors of the number 20,209,156?

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 20,209,156

20,209,156
Factor Arrows
210,104,578
Factor Arrows
25,052,289
Factor Arrows
11459,299
Factor Arrows
716,469

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, 11, 71, 6469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 71 x 6,469 = 20,209,156

This can also be written as 22 x 111 x 711 x 6,4691 = 20,209,156

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


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