You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.
Answer:
D
Step-by-step explanation:
There are twice as many adults as children.
The answer if you need it factored is 3(x+2)(x+1)
Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
According to the question,
We have the following information:
Katie’s hair is 4 ½ x + 1 inches long.
The barber cuts ¼ x – 2 inches off her hair.
Now, the remaining length of her hair will be obtained by subtracting the length of hair cut from the original length.
So, we have the following expression:
(
)-(x/4-2)
9x/2+1-x/4+2
9x/2-x/4+3
Taking 4 as the least common factor:
18x-x+12/4
17x+12/4
17x/4 + 12/4
17x/4 + 3 inches
Hence, Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
To know more about Katie's hair here
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