Q: What are the prime factors of the number 73,434,548?

 A: 2, 11, 809, 2063

Why are those the prime factors of the number 73,434,548?

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 73,434,548

73,434,548
Factor Arrows
236,717,274
Factor Arrows
218,358,637
Factor Arrows
111,668,967
Factor Arrows
8092,063

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, 11, 809, 2063

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 809 x 2,063 = 73,434,548

This can also be written as 22 x 111 x 8091 x 2,0631 = 73,434,548

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 73,434,548:


Ask a Question