Q: What are the prime factors of the number 240,405,035?

 A: 5, 13, 293, 971

Why are those the prime factors of the number 240,405,035?

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 240,405,035

240,405,035
Factor Arrows
548,081,007
Factor Arrows
133,698,539
Factor Arrows
13284,503
Factor Arrows
293971

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:

5, 13, 293, 971

We can check our work by multiplying all of the prime factors together: 5 x 13 x 13 x 293 x 971 = 240,405,035

This can also be written as 51 x 132 x 2931 x 9711 = 240,405,035

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 240,405,035:


Ask a Question