Question

Of Composite Numbers Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
Identify a composite number other than 1 that is a factor of both 24 and 42. (1 point)
A composite number that is a factor of both 24 and 42 is

Answer 1

The composite number that is a factor of both 24 and 42 is 6, as it is the largest common factor of these two numbers that has more than two factors (1, 2, 3, 6), making it composite.

Step-by-step explanation:

To identify a composite number that is a factor of both 24 and 42, we need to find the common divisors of these numbers, other than 1.

First, let's list the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

Now, let's list the factors of 42: 1, 2, 3, 6, 7, 14, 21, 42.

Looking at these lists, we can see that the numbers 2, 3, and 6 are common factors.

Among these, 6 is the largest common factor, and since it has more than two factors (1, 2, 3, 6), it is a composite number. Therefore, the composite number that is a factor of both 24 and 42 is 6.