Q: What are the prime factors of the number 280,425,180?

 A: 2, 3, 5, 7, 19, 35141

Why are those the prime factors of the number 280,425,180?

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 280,425,180

280,425,180
Factor Arrows
2140,212,590
Factor Arrows
270,106,295
Factor Arrows
323,368,765
Factor Arrows
54,673,753
Factor Arrows
7667,679
Factor Arrows
1935,141

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, 5, 7, 19, 35141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 19 x 35,141 = 280,425,180

This can also be written as 22 x 31 x 51 x 71 x 191 x 35,1411 = 280,425,180

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 280,425,180:


Ask a Question