Q: What are the prime factors of the number 52,340,328?

 A: 2, 3, 47, 15467

Why are those the prime factors of the number 52,340,328?

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 52,340,328

52,340,328
Factor Arrows
226,170,164
Factor Arrows
213,085,082
Factor Arrows
26,542,541
Factor Arrows
32,180,847
Factor Arrows
3726,949
Factor Arrows
4715,467

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, 47, 15467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 47 x 15,467 = 52,340,328

This can also be written as 23 x 32 x 471 x 15,4671 = 52,340,328

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 52,340,328:


Ask a Question