Q: What are the prime factors of the number 242,984,288?

 A: 2, 7593259

Why are those the prime factors of the number 242,984,288?

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 242,984,288

242,984,288
Factor Arrows
2121,492,144
Factor Arrows
260,746,072
Factor Arrows
230,373,036
Factor Arrows
215,186,518
Factor Arrows
27,593,259

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, 7593259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7,593,259 = 242,984,288

This can also be written as 25 x 7,593,2591 = 242,984,288

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 242,984,288:


Ask a Question