Factor the expression. 12 and 36

wrong answers reported

12

Step-by-step explanation:

12

Step-by-step explanation:

Step-1: Prime Factorization of 12

Prime factors of 12 are 2, 3. Prime factorization of 12 in exponential form is:

12 = 22 × 31

Step-2: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Step-3: Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6

Step-4: Factors of 36

List of positive integer factors of 36 that divides 12 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12 and 36. The biggest common factor number is the GCF number.

So the greatest common factor 12 and 36 is 12.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.