Q: What are the prime factors of the number 20,001,120?

 A: 2, 3, 5, 41669

Why are those the prime factors of the number 20,001,120?

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 20,001,120

20,001,120
Factor Arrows
210,000,560
Factor Arrows
25,000,280
Factor Arrows
22,500,140
Factor Arrows
21,250,070
Factor Arrows
2625,035
Factor Arrows
3208,345
Factor Arrows
541,669

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, 5, 41669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 41,669 = 20,001,120

This can also be written as 25 x 31 x 51 x 41,6691 = 20,001,120

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


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