Q: What are the prime factors of the number 303,233,000?

 A: 2, 5, 7, 43319

Why are those the prime factors of the number 303,233,000?

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 303,233,000

303,233,000
Factor Arrows
2151,616,500
Factor Arrows
275,808,250
Factor Arrows
237,904,125
Factor Arrows
57,580,825
Factor Arrows
51,516,165
Factor Arrows
5303,233
Factor Arrows
743,319

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, 7, 43319

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 7 x 43,319 = 303,233,000

This can also be written as 23 x 53 x 71 x 43,3191 = 303,233,000

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 303,233,000:


Ask a Question