Q: What are the prime factors of the number 231,434,400?

 A: 2, 3, 5, 96431

Why are those the prime factors of the number 231,434,400?

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 231,434,400

231,434,400
Factor Arrows
2115,717,200
Factor Arrows
257,858,600
Factor Arrows
228,929,300
Factor Arrows
214,464,650
Factor Arrows
27,232,325
Factor Arrows
32,410,775
Factor Arrows
5482,155
Factor Arrows
596,431

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, 5, 96431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 96,431 = 231,434,400

This can also be written as 25 x 31 x 52 x 96,4311 = 231,434,400

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 231,434,400:


Ask a Question