Q: What are the prime factors of the number 20,001,024?

 A: 2, 3, 8681

Why are those the prime factors of the number 20,001,024?

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 20,001,024

20,001,024
Factor Arrows
210,000,512
Factor Arrows
25,000,256
Factor Arrows
22,500,128
Factor Arrows
21,250,064
Factor Arrows
2625,032
Factor Arrows
2312,516
Factor Arrows
2156,258
Factor Arrows
278,129
Factor Arrows
326,043
Factor Arrows
38,681

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, 8681

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 2 x 2 x 3 x 3 x 8,681 = 20,001,024

This can also be written as 28 x 32 x 8,6811 = 20,001,024

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,001,024:


Ask a Question