Q: What are the prime factors of the number 20,763,568?

 A: 2, 7, 67, 2767

Why are those the prime factors of the number 20,763,568?

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 20,763,568

20,763,568
Factor Arrows
210,381,784
Factor Arrows
25,190,892
Factor Arrows
22,595,446
Factor Arrows
21,297,723
Factor Arrows
7185,389
Factor Arrows
672,767

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, 7, 67, 2767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 67 x 2,767 = 20,763,568

This can also be written as 24 x 71 x 671 x 2,7671 = 20,763,568

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


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