Factors

# Factors of 55 | Prime Factorization of 55 | Factor Tree of 55

Written by Prerit Jain

Updated on: 12 Aug 2023

### Factors of 55 | Prime Factorization of 55 | Factor Tree of 55

Factors of 55: The factors of a number are a set of integers that can divide the given number evenly.

The number 55 has 4 factors – 1, 5, 11, and 55.

The factors of a number can be written as positive/ negative. They also occur in pairs. So, multiplying the pairs with each other gives the original number as the product.

We will closely look at the factors of 55 and how to find them using 3 different methods. They are the division method, prime factorization method, and factor tree method. Continue reading to learn more.

## What Are the Factors of 55?

The factors of 55 can divide the number (55) evenly without leaving any remainder. The factors of a number can be both positive and negative. The number 55 has both positive and negative factors.

## What Are the Factors of 55 in Pairs?

A pair factor of 55 is two numbers, which when multiplied together gives 55 as the product. They are written as pair factors and also in positive and negative pairs format:

### Positive Pair Factors of 55

The positive pair factors of 55 are (1, 55) and (5, 11).

### Negative Pair Factors of 55

The negative pair factors of 55 are (-1, -55), and (-5, -11).

## How To Find Factors of 55 Through Division Method?

We are using the division method to find the factors of 55. In this approach, we will multiply a sequence of natural integers by 55. The numbers that divide the 55 evenly, without leaving any remainder are its factors.

The steps below illustrate this method in detail:

• 55 ÷ 1 = 55
• 55 ÷ 5 = 11
• 55 ÷ 11 = 5
• 55 ÷ 55 = 1

We can now see that 1, 5, 11, and 55 are the numbers that do not leave any remainder when divided by 55. So, the factors of 55 are 1, 5, 11, and 55.

## What Is the Prime Factorization of 55?

Before we use the prime factorization method, we must check if the given number is a prime/ composite number. If it is a prime number, it has only two factors: 1 and 55. If not, then it has more than two factors.

We know that 55 is the composite number. So, it has more than two factors.
The steps to find prime factors of 55 using the prime factorization method are given below:

Step 1: Divide the number 55 by the smallest prime number that can divide it. This number is 5.

55 ÷ 5 = 11

Step 2: We got 11 as the quotient. Dividing 11 with 11 gives us 1.
11 ÷ 11 = 1

The quotient is 1. We know that 1 cannot be divided further.

So, the prime factors of 55 are 11 X 5. We can also write it down as 5 and 11, as both of them are prime numbers.

Image representation of the prime factorization of 55:

## What is the Factor Tree of 55?

We will now use the factor tree to find the prime factors of 55. We will place 55 on top of the factor tree. As part of its branches, we will use one of its pair factors. We will separate these branches further, till they are all prime numbers.

Step 1: Let’s place the number 55 on top of the factor tree. Now, let’s branch out to the factors of 55 in pairs- 5 and 11.

Step 2: We can see that 5 and 11 are both prime numbers. All the branches in the factor tree are prime numbers.

Hence, circling all the branches, 11 X 5 = 55, which are 55 prime factors.

Below is an image representation of the factor tree of 55, choosing 5 and 11 as pair factors of 55.

## Solved Examples on Factors of 55

Here are some solved examples of 55 factors:

What is the sum of all the factors of 55?
1, 5, 11, and 55 are the 55 factors.
1 + 5 + 11 + 55 = 72
Hence, 72 is the sum of all 55 factors.

What are the factors and prime factors of 55?
The factors of 55: 1, 5, 11, and 55.
The prime factors of 55: 11 X 5.

What’s the highest common factor between 55 and 75?
The factors of 55 are 1, 5, 11, and 55.
Factors of 75 are 1, 3, 5, 15, 25, and 75.
Hence, from the above, the common factors of 55 and 75 are 1 and 5.
The highest common factor between 55 and 75 is 5.

What’s the highest common factor between 33 and 55?
The factors of 33 are 1, 3, 11, and 33.
Factors of 55 are 1, 5, 11, and 55.
Hence, from the above, the common factors of 33 and 55 are 1 and 11.
The highest common factor between 33 and 55 is 11.

Is 5 a factor of 55?
Yes, 5 is a factor of 55.
As 55 ÷ 5 = 11.

What are the factors of -55?
The factors of -55 are -1, -5, -11, and -55.

What are the common factors of 121 and 55?
To find the common factors of 121 and 55, we need to find the factors of both numbers.
Factors of 121: 1, 11, and 121
Factors of 55: 1, 5, 11, and 55
Hence the common factors of 121 and 55 are 1 and 11.

What are all the factors of 55?
The factors of 55 are 1, 5, 11, and 55.
What are the factors of 55 that are composite?
Any number which has more than 2 factors is known as a composite number.
The number which has more than 2 factors in factors of 55 is 55.

What factors of 55 are multiples of 11?
The factors of 55 that are multiples of 11 are 11 and 55.
11 x 1 = 11
11 x 5 = 55.

How many 55 factors are odd?
All the factors of 55 are odd. They are 1, 5, 11, and 55.

What are the factors of 55 and 45?
The factors of 55 are 1, 5, 11, and 55.
The factors of 45 are 1, 3, 5, 9, 15, and 45.

What are the common factors of 55 and 21?
To list out the common factors of 55 and 21, we need to find the factors of both numbers.
Factors of 55: 1, 5, 11, and 55
Factors of 21: 1, 3, 7, and 21
From the above, the common factor of 55 and 21 is 1.

How many different factors are there for the number 55?
A total of 4 factors are there for the number 5 and they are 1, 5, 11, and 55.

What factors of 55 are multiples of 5?
The factors of 55 that are multiples of 5 are 5, and 55.

How many pair factors are there in 55?
A total of 2 pairs are there in factors of 55.

What is the largest factor of 55?
The largest factor of 55 is 55.
The second largest factor of 55 is 11.

## FAQs on Factors of 55

List all the factors of 55
1, 5, 11, and 55 are the 55 factors.

What are the composite factors of 55?
55 is the only 55 composite factor. Composite factors are those that have more than 2 factors other than 1 and itself.

What are the factors of 55 in pairs?
(1, 55) and (5, 11) are the 55 factors of pairs.

What are the positive factors for 55?
55 are the positive factors 55.

What are the negative factors of 55?
The negative factors of 55: -1, -5, -11, and -55

We have now learned all the necessary information about the factors of 55. We hope that this article was easy to understand and useful.

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Written by by

Prerit Jain

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