Q: What are the prime factors of the number 20,042,048?

 A: 2, 13, 17, 109

Why are those the prime factors of the number 20,042,048?

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 20,042,048

20,042,048
Factor Arrows
210,021,024
Factor Arrows
25,010,512
Factor Arrows
22,505,256
Factor Arrows
21,252,628
Factor Arrows
2626,314
Factor Arrows
2313,157
Factor Arrows
1324,089
Factor Arrows
131,853
Factor Arrows
17109

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, 13, 17, 109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13 x 17 x 109 = 20,042,048

This can also be written as 26 x 132 x 171 x 1091 = 20,042,048

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


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