Factors of 44

In your closet, there are 44 articles of clothing in there. You start looking through your closet and realize something strange. You have shirts, pants, shorts, and sweaters. Ironically, you have the same amount of shirts, pants, shorts, and sweaters.

So, use the factors to find how many of each article of clothing you have in your closet if you have 44.

use the factors to find how many of each article

Finding the factors of 44 will help out if you do this first. So, use the factors of 44 to find out the answer to this.

Factors of 44 are 1, 2, 4, 11, 22, and 44

A way to find the factors of 44 would be to list all the numbers from 1-44 like the list below.

Factors of 44 are 1, 2, 4, 11, 22, and 44

Decide if each number can equally be divided into 44 without having a remainder. You may want to use a calculator or create and work a division problem for each one. When you divide the number into 44 and if there is a remainder, then it is not a factor. You can cross that number out. The remaining numbers would be the factors of 44.

the number into 44 and if there is a remainder

We don’t need to check the rest of the numbers up to 44 because once you get to the halfway point, there would not be any other factors.

From these calculations, you can tell that the factors above that do not have a remainder would be 1, 2, 4, 11, 22, and 44.

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To check, you can multiply the factors with their factor partners.

you can multiply the factors with their factor partners

In our clothing problem, it is unusual that you would have the exact same number of shirts, pants, shorts, and sweaters, but it is a possibility. So, you had to find the factors to know how many of each article of clothing you have in your closet. You know that the total is 44.

There are 4 groups of clothing types. Therefore, you will need to know 4’s factor partner. In other words, you need to find the number that multiplied to 4 will equal 44. That number would be 11.

Challenging Questions

Question 1List the factors of 44

Which positive whole numbers divide 44 without leaving a remainder?

Answer

The factors of 44 are 1, 2, 4, 11, 22, 44.

Each listed number divides the original number evenly.

Question 2Find the factor pairs of 44

Which multiplication pairs have a product of 44?

Answer

44 has these positive factor pairs: 1 × 44; 2 × 22; 4 × 11.

Multiplying the two numbers in any pair gives the original number.

Question 3Prime-factorize 44

What is the prime factorization of 44?

Answer

44 = 2 × 2 × 11.

Every number in the product is prime.

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