Q: What are the prime factors of the number 224,551,351?

Why are those the prime factors of the number 224,551,351?

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 224,551,351

	224,551,351
17		13,208,903
	227		58,189

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:

17, 227, 58189

We can check our work by multiplying all of the prime factors together: 17 x 227 x 58,189 = 224,551,351

This can also be written as 17¹ x 227¹ x 58,189¹ = 224,551,351

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