Q: What are the prime factors of the number 430,400?

 A: 2, 5, 269

Why are those the prime factors of the number 430,400?

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 430,400

430,400
Factor Arrows
2215,200
Factor Arrows
2107,600
Factor Arrows
253,800
Factor Arrows
226,900
Factor Arrows
213,450
Factor Arrows
26,725
Factor Arrows
51,345
Factor Arrows
5269

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, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 269 = 430,400

This can also be written as 26 x 52 x 2691 = 430,400

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 430,400:


Ask a Question