Q: What are the prime factors of the number 433,144,120?

 A: 2, 5, 2689, 4027

Why are those the prime factors of the number 433,144,120?

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 433,144,120

433,144,120
Factor Arrows
2216,572,060
Factor Arrows
2108,286,030
Factor Arrows
254,143,015
Factor Arrows
510,828,603
Factor Arrows
2,6894,027

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, 2689, 4027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 2,689 x 4,027 = 433,144,120

This can also be written as 23 x 51 x 2,6891 x 4,0271 = 433,144,120

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 433,144,120:


Ask a Question