Q: What are the prime factors of the number 422,113,040?

 A: 2, 5, 41, 128693

Why are those the prime factors of the number 422,113,040?

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 422,113,040

422,113,040
Factor Arrows
2211,056,520
Factor Arrows
2105,528,260
Factor Arrows
252,764,130
Factor Arrows
226,382,065
Factor Arrows
55,276,413
Factor Arrows
41128,693

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, 5, 41, 128693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 41 x 128,693 = 422,113,040

This can also be written as 24 x 51 x 411 x 128,6931 = 422,113,040

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 422,113,040:


Ask a Question