Factors of 4ab: List and Examples | Homework Help

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In summary, the factors of 4ab are 1, 2, 4, a, b, 2a, 2b, and 4ab. To simplify 4ab, you can factor out the common factor 4 and then simplify the remaining expression. Factors are numbers that can divide evenly into another number without leaving a remainder, while multiples are numbers that can be multiplied together to get another number. 4ab is already in its simplest form and cannot be factored further without using imaginary numbers. The factors of 4ab can be used in various mathematical equations and problems, such as finding the perimeter and area of a rectangle with sides of length 4a, b, 2a, and
  • #1
MechSoup
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Homework Statement



Name the various factors of:

4ab

Homework Equations



None

The Attempt at a Solution



4, ab, a, 4b, b, 4a, 2, 2ab, 2b, 2a

Did I miss any?
 
Last edited:
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  • #3


yes you are right, if a and b are primes
 
  • #4


Nice, thanx!
 
  • #5


If a and b are primes, then those are all positive integer factors.
 

Related to Factors of 4ab: List and Examples | Homework Help

What are the factors of 4ab?

The factors of 4ab are 1, 2, 4, a, b, 2a, 2b, and 4ab. These factors can be multiplied together to get the original expression of 4ab.

How do I simplify 4ab?

To simplify 4ab, you can factor out the common factor 4 and then simplify the remaining expression. This would result in 4ab = 4 * a * b.

What is the difference between factors and multiples?

Factors are numbers that can divide evenly into another number without leaving a remainder. Multiples are numbers that can be multiplied together to get another number. In the case of 4ab, factors would include 1, 2, 4, a, b, 2a, 2b, and 4ab, while multiples would include 8ab, 12ab, 16ab, etc.

Can 4ab be factored further?

No, 4ab is already in its simplest form. It cannot be factored any further without using imaginary numbers.

How can I use the factors of 4ab in real-life situations?

The factors of 4ab can be used in various mathematical equations and problems, such as finding the perimeter of a rectangle with sides of length 4a and b, or finding the area of a rectangle with sides of length 2a and 2b. They can also be used in solving algebraic equations involving 4ab.

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