Q: What are the prime factors of the number 73,752,404?

 A: 2, 11, 152381

Why are those the prime factors of the number 73,752,404?

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 73,752,404

73,752,404
Factor Arrows
236,876,202
Factor Arrows
218,438,101
Factor Arrows
111,676,191
Factor Arrows
11152,381

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, 152381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 152,381 = 73,752,404

This can also be written as 22 x 112 x 152,3811 = 73,752,404

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 73,752,404:


Ask a Question