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Factors

Factors of 44 | Prime Factorization of 44 | Factor Tree of 44

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

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Factors of 44 | Prime Factorization of 44 | Factor Tree of 44

Factors of 44 | Prime Factorization of 44 | Factor Tree of 44

Factors of 44: Factors are a list of numbers that divide a particular number evenly.

The number 44 has 6 factors in total. Factors of 44 are 1, 2, 4, 11, 22, and 44.

The factors of 44, like most factors, are positive and negative. They also occur in pairs. So, multiplying the pairs with each other will yield 44 as the product.

In this article, we will discuss the factors of 44 in detail. We will also find the factors of 44 using the prime factorization and factor tree methods. Keep reading to learn more.

What Are the Factors of 44?

The factors of 44 divide the number evenly, without leaving a reminder behind. The factors of a number can be both positive and negative.

The factors of 44 divide the number evenly, without leaving a reminder behind. The factors of a number can be both positive and negative.

Factors of 44: 1, 2, 4, 11, 22 and 44
Negative Factors of 44: -1, -2, -4, -11, -22 and -44
Prime Factorization of 44: 2 X 2 X 11 or 22 X 2
Pair Factors of 44: (1, 44); (2, 22) and (4, 11)
Prime Factors of 44: 2 and 11
Sum of Factors of 44: 84
Sum of Prime Factors of 44: 13
Factors of 44

What Are the Factors of 44 in Pairs?

A pair factor of 44, when multiplied by each other, will give 44 as the product. They can be both positive and negative, as mentioned in the tables below:

Positive Pair Factors of 44

The positive pair factors of 44 are (1, 44), (2, 22) and (4, 11).

Positive Pair Factors of 44

Negative Pair Factors of 44

The negative pair factors of 44 are (1, 44), (2, 22), and (4, 11).

Negative Pair Factors of 44

How To Find Factors of 44 Through Division Method?

First, let us use the division method to determine the factors of 44. In this method, we will divide 44 with a sequence of natural numbers and then decide which of these integers to divide evenly. The numbers that succeed in dividing 44 evenly are the factors of 44. 44 ÷ 1 = 44
• 44 ÷ 2 = 22
• 44 ÷ 4 = 11
• 44 ÷ 11 = 4
• 44 ÷ 22 = 2
• 44 ÷ 44 = 1
Thus, we can see that 1, 2, 4, 11, 22 and 44 are the numbers which do not leave any remainder when divided by 44. Hence, the factors of 44 are 1, 2, 4, 11, 22 and 44.

What is the Prime Factorization of 44?

Prime factorization is another method to find the factors of a number. First, we must check if the given number is a prime number. If so, then it has only two factors: 1 and 44. If the given number is composite, it has more than two factors.
44 is the composite number so, it has more than two factors. Now, we can use the prime factorization method to find the factors of 44.


The steps to find prime factors of 44 using the prime factorization method are given below:


Step 1: Divide the number 44 by the smallest prime number that can divide it. 2 is the smallest prime number in this case.
44 ÷ 2 = 22


Step 2: The quotient is 22. Now, divide 22 by the smallest prime number which is 2.
22 ÷ 2 = 11


Step 3: Now we got 11 as the quotient. 11 is a prime number. Dividing 11 with 11 gives us 1.
11 ÷ 11 = 1


Since 1 cannot be divided further, the prime factors of 44 are 2 X 2 X 11 or 22 X 11. We can also write it down as 2 and 11, as both of them are prime numbers.
Image representation of the prime factorization of 44:

Prime Factorization of 44

What is the Factor Tree of 44?

We can also use the factor tree to find the prime factors of 44. This method will place the number 44 at the top of the factor tree. As part of the branches, we will write down any set of pair factors of the given number (44). We will now split the pair of factors into factors. This process will continue until the branches become prime numbers. Now, circling all the prime numbers will give us the prime factors of 44.


Step 1: First, we will place 44 on top of the factor tree. We now write down 44 in pairs, that is, 4 and 11.


Step 2: Since 11 is a prime number, we can no longer separate it. We will now divide 4 into 2 and 2. Since 2 is a prime number, it cannot be separated any further. The branches in the factor tree will now be all the prime numbers.
Hence, circling all the branches, 22 X 2 or 2 X 2 X 11 = 44, which are 44 prime factors.


Below is an image representation of the factor tree of 44, choosing 11 and 4 as pair factors of 44.

Factor tree of 44

Solved Examples on Factors of 44

Here are some solved examples of 44 factors:

What is the sum of all the factors of 44?
1, 2, 4, 11, 22, and 44 are the 44 factors.
1 + 2 + 4 + 11 + 22 + 44 = 84
Hence, 84 is the sum of all 44 factors.

What are the factors and prime factors of 44?
The factors of 44 are 1, 2, 4, 11, 22, and 44.
The prime factors of 44 are 2 X 22 or 11 X 2 X 2.

What’s the highest common factor between 44 and 16?
The factors of 44 are 1, 2, 4, 11, 22, and 44.
Factors of 16 are 1, 2, 4, 8, and 16.
Hence, from the above, the common factors of 44 and 16 are 1, 2, and 4.
The highest common factor between 44 and 16 is 4.

What’s the highest common factor between 44 and 42?
The factors of 44 are 1, 2, 4, 11, 22, and 44.
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Hence, from the above, the common factors of 44 and 42 are 1 and 2.
The highest common factor between 44 and 42 is 2.

Is 22 a factor of 44?
Yes, 22 is a factor of 44.
As 44 ÷ 22 = 2.

What are the factors of -44?
The factors of -44 are -1, -2, -4, -11, -22, and -44.

What are the common factors of 44 and 100?
To find the common factors of 44 and 100, we need to find the factors of both numbers.
Factors of 44: 1, 2, 4, 11, 22 and 44
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50 and 100
Hence the common factors of 44 and 100 are 1, 2, and 4.

What are all the factors of 44?
The factors of 44 are 1, 2, 4, 11, 22, and 44.

What are the factors of 44s that are composite?
Any number which has more than 2 factors is known as a composite number. The list of number which has more than 2 factors in factors of 44 is 4, 22, and 44.
Hence the factors of 44 that are composite are 4, 22, and 44.

What factors of 44 are multiples of 4?
The factors of 44 that are multiples of 4 are 4 and 44.
4 x 1 = 4
4 x 11 = 44.

How many 44 factors are odd?
Only one factor of 44 is an odd number and it is 1.

What are the factors of 44 and 66?
The factors of 44 are 1, 2, 4, 11, 22, and 44.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66.

What are the common factors of 44 and 28?
To list out the common factors of 44 and 28, we need to find the factors of both numbers.
Factors of 44: 1, 2, 4, 11, 22 and 44
Factors of 28: 1, 2, 4, 7, 14 and 28
From the above, the common factors of 44 and 28 are 1, 2, and 4.

How many different factors are there for the number 44?
A total of 6 factors are there for the number 44 and they are 1, 2, 4, 11, 22, and 44.

How many pair factors are there in 44?
A total of 3 pairs are there in factors of 44.

What is the largest factor of 44?
The largest factor of 44 is 44.
The second largest factor of 44 is 22.

FAQs on Factors of 44

List all the factors of 44
1, 2, 4, 11, 22, and 44 are the 44 factors.

What are the composite factors of 44?
4, 22, and 44 are the 44 composite factors.
Composite factors are those that have more than 2 factors other than 1 and itself.

What are the factors of 44 in pairs?
(1, 44), (2, 22) and (4, 11) are the 44 factors of pairs.

What are the positive factors for 44?
1, 2, 4, 11, 22, and 44 are the positive factors for 44.

What are some multiples of 44?
A multiple is that which can be divided by another number without a remainder.
Some multiples of 44 are 44, 88, 132, 176, 220, 264, 308, 352, 396, and 440.

We have now covered all the necessary information about the factors of 44. We hope this article has been useful and easy to understand as well.

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Prerit Jain

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