Q: What are the prime factors of the number 20,013,504?

 A: 2, 3, 7, 14891

Why are those the prime factors of the number 20,013,504?

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 20,013,504

20,013,504
Factor Arrows
210,006,752
Factor Arrows
25,003,376
Factor Arrows
22,501,688
Factor Arrows
21,250,844
Factor Arrows
2625,422
Factor Arrows
2312,711
Factor Arrows
3104,237
Factor Arrows
714,891

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, 7, 14891

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 3 x 7 x 14,891 = 20,013,504

This can also be written as 26 x 31 x 71 x 14,8911 = 20,013,504

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


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