3,4,9,12,16,18

two integers are related if they share a factor other than 1. which of the following numbers is related to every number in the list above.

A 10
B 9
C 6
D 4
E 3

Is it 10? Since like 30,40,90,120,180 all have factor of 10?

No, it's 6 because every number in the list has 2 or 3 as a factor, as does 6.

That makes so much sense now, thank you.

To determine which number is related to every number in the given list, we need to find a number that has a common factor with all the numbers in the list except 1.

Let's analyze each option:

A) 10: This number has a common factor of 2 with all the numbers in the list (except for 3 and 9), but it does not have a common factor of 3 with all the numbers in the list.

B) 9: This number has a common factor of 3 with all the numbers in the list except for 4.

C) 6: This number has a common factor of 2 with all the numbers in the list except for 3 and 9.

D) 4: This number has a common factor of 2 with all the numbers in the list, and it does not have any factors in common with 3 or 9.

E) 3: This number has a common factor of 3 with all the numbers in the list except for 4.

So, among the options provided, the number that is related to every number in the given list is D) 4.