What are all the common multiples of 16

Question

Hi I'm wondering what all the common multiples of 16 because I am not good at math and need a little help I go all the common multiples of the numbers I need i  just can't figure out the ones of 16 can you please help ??? :-) :-) :-) 

Answer 1

Hi Sheridan,

        We are looking for all the positive integers (whole numbers) whose product is 16 right? So can you state that using symbols? Suppose we let a represent the first integer and b represent the second then we have

 

              a*b=16 and we are looking for all the solutions to this equation. Suppose we let a=1 then b must be 16 because 1*16=16 right? Next what if a=2 then b must be 16/2=8 and 2*8=16. Now let a=3 now we have a problem because there is no integer that when multiplied by 3 is equal to 16. With a=4 we have b=4 right? a=5 oops no solution same with a=6 and a=7, But when a=8 b=1 works. When a>(greater than) 8 there are no whole numbers that work, for instance if a=9 the b=16/9 not a whole number.

    

Hope this helps

Jim