Apply the distributive property to factor out the greatest common factor and find the other sum. No spaces please.
16 + 24
List the factor of 16:
1 , 2 , 4 , 8 , 16
List the factors of 24:
1 , 2 , 3 , 4 , 6 , 8 , 12
The GCF is 8
16 + 24 = 8 ∙ 2 + 8 ∙ 3 = 8 ( 2 + 3 )
List the factors of 24:
1 , 2 , 3 , 4 , 6 , 8 , 12 , 24
To apply the distributive property to factor out the greatest common factor, we need to find the largest number that evenly divides both 16 and 24. In this case, the greatest common factor (GCF) of 16 and 24 is 8.
To factor out the GCF using the distributive property, we can rewrite the expression as follows:
8 * (16/8) + 8 * (24/8)
Simplifying the expression further, we have:
8 * 2 + 8 * 3
Finally, we can perform the calculations:
16 + 24 = 8 * 2 + 8 * 3 = 16 + 24 = 40
Therefore, the other sum is 40.