Q: What are the prime factors of the number 305,411,036?

 A: 2, 7, 2111, 5167

Why are those the prime factors of the number 305,411,036?

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 305,411,036

305,411,036
Factor Arrows
2152,705,518
Factor Arrows
276,352,759
Factor Arrows
710,907,537
Factor Arrows
2,1115,167

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, 2111, 5167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 2,111 x 5,167 = 305,411,036

This can also be written as 22 x 71 x 2,1111 x 5,1671 = 305,411,036

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 305,411,036:


Ask a Question