What factors dose 32 and 36 have in common

1 answer:

8 0

One way to approach this is to look at the difference between 32 and 36, which is 4. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. Since both 32 and 36 are divisible by 4, the greatest common factor is 4.
Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. 
The factors of 32 are 1, 2, 4, 8, 16, and 32. 
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. 
The common factors are 1, 2, and 4. Therefore, the greatest common factor is 4. 

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. 
The prime factors of 32 are 2, 2, 2, 2, and 2. 
The prime factors of 36 are 2, 2, 3, and 3. 
The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.

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A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of

vesna_86 [32]

Answer:

The width is 50 yards and the length is 141 yards.

Step-by-step explanation:

Let's call: L the length of the field and W the width of the field.

From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:

2L + 2W = 382

Because the perimeter of a rectangle is the sum of two times the length with two times the width.

Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:

L = 3W - 9

So, replacing this last equation on the first one and solving for W, we get:

2L + 2W = 382

2(3W - 9) + 2W = 382

6W -18 +2W = 382

8W - 18 = 382

8W = 382 + 18

8W = 400

W = 400/8

W = 50

Replacing W by 50 on the following equation, we get:

L = 3W - 9

L = 3(50) - 9

L = 141

So, the width of the rectangular field is 50 yards and the length is 141 yards.

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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches

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