Q: What are the prime factors of the number 20,742,696?

 A: 2, 3, 13, 83, 89

Why are those the prime factors of the number 20,742,696?

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 20,742,696

20,742,696
Factor Arrows
210,371,348
Factor Arrows
25,185,674
Factor Arrows
22,592,837
Factor Arrows
3864,279
Factor Arrows
3288,093
Factor Arrows
396,031
Factor Arrows
137,387
Factor Arrows
8389

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, 13, 83, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 13 x 83 x 89 = 20,742,696

This can also be written as 23 x 33 x 131 x 831 x 891 = 20,742,696

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


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