Q: What are the prime factors of the number 400,031,002?

 A: 2, 7, 4081949

Why are those the prime factors of the number 400,031,002?

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 400,031,002

400,031,002
Factor Arrows
2200,015,501
Factor Arrows
728,573,643
Factor Arrows
74,081,949

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, 7, 4081949

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 4,081,949 = 400,031,002

This can also be written as 21 x 72 x 4,081,9491 = 400,031,002

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 400,031,002:


Ask a Question