find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
1 answer:
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
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Multiplication property of equality can be used to solve:
Step-by-step explanation:
First of all, lets define the multiplication property of equality
The multiplication property of equality states that if one side of an equation is multiplied with any number the other side is also multiplied with the number.
Given equations are:
By observing the equations we can see that only third equation has a fraction in it so it has to be multiplied with -2 for solution
Hence,
Multiplication property of equality can be used to solve:
Keywords: Linear equation, properties
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