Q: What are the prime factors of the number 744,300,769?

Why are those the prime factors of the number 744,300,769?

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 744,300,769

	744,300,769
23		32,360,903
	37		874,619

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:

23, 37, 874619

We can check our work by multiplying all of the prime factors together: 23 x 37 x 874,619 = 744,300,769

This can also be written as 23¹ x 37¹ x 874,619¹ = 744,300,769

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