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:
Number of hours, x Number of miles, y
0.5 5
1 10
1.5 15
2 20
2.5 25
Step-by-step explanation:
-Distance is the product of speed by time.
-The speed is given as 10mph. The distance equation is therefore given as:
The quotient of in the third table gives as the constant 10 for all rows:
Hence, the 3rd table represents the correct values of both y, miles and hours, x.
Answer: m=2-n/5
Step-by-step explanation:
5m+n=10
5m=10-n
m=(10-n)/5
m=2-n/5
Given :
Mass of baseball produced per day, m = 1 ton.
1 carton of baseball contain 24 baseballs.
To Find :
If all of the balls are the minimum allowable weight, how many cartons of balls does the company produce each day.
Solution :
Minimum allowable weight of a baseball is 5 ounces.
We know, 1 ton = 2000 pounds and 1 pounds = 16 ounces.
So, 1 ton = 32000 ounces .
Number of baseballs produced :
n = 32000/5
n = 6400
Number of carton produce each day, N = 6400/24 = 266.67
Since, carters cannot be in decimal.
Therefore, carton produce in each day is 266 .