Q: What are the prime factors of the number 400,012,011?

 A: 3, 7, 6349397

Why are those the prime factors of the number 400,012,011?

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 400,012,011

400,012,011
Factor Arrows
3133,337,337
Factor Arrows
344,445,779
Factor Arrows
76,349,397

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:

3, 7, 6349397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 6,349,397 = 400,012,011

This can also be written as 32 x 71 x 6,349,3971 = 400,012,011

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 400,012,011:


Ask a Question