Q: What are the prime factors of the number 1,445,792?

 A: 2, 45181

Why are those the prime factors of the number 1,445,792?

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 1,445,792

1,445,792
Factor Arrows
2722,896
Factor Arrows
2361,448
Factor Arrows
2180,724
Factor Arrows
290,362
Factor Arrows
245,181

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, 45181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 45,181 = 1,445,792

This can also be written as 25 x 45,1811 = 1,445,792

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 1,445,792:


Ask a Question