Q: What are the prime factors of the number 20,530,976?

 A: 2, 311, 2063

Why are those the prime factors of the number 20,530,976?

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 20,530,976

20,530,976
Factor Arrows
210,265,488
Factor Arrows
25,132,744
Factor Arrows
22,566,372
Factor Arrows
21,283,186
Factor Arrows
2641,593
Factor Arrows
3112,063

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, 311, 2063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 311 x 2,063 = 20,530,976

This can also be written as 25 x 3111 x 2,0631 = 20,530,976

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


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