# Factors of 55

Factors of 55 are 1, 5, 11, and 55

#### How to find factors of a number

 1.   Find factors of 55 using Division Method 2.   Find factors of 55 using Prime Factorization 3.   Find factors of 55 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 55

• Divide 55 by 1: 55 ÷ 1 : Remainder = 0
• Divide 55 by 5: 55 ÷ 5 : Remainder = 0
• Divide 55 by 11: 55 ÷ 11 : Remainder = 0
• Divide 55 by 55: 55 ÷ 55 : Remainder = 0

Hence, Factors of 55 are 1, 5, 11, and 55

#### 2. Steps to find factors of 55 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 55 using the division method, follow these steps:

• Step 1. Start dividing 55 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 55, which is 5. Divide 55 by 5 to obtain the quotient (11).
55 ÷ 5 = 11
• Step 3. Repeat step 1 with the obtained quotient (11).
11 ÷ 11 = 1

So, the prime factorization of 55 is, 55 = 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 55 as shown below:

So, the prime factorization of 55 is, 55 = 5 x 11.

#### 3. Find factors of 55 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 55 would be the two numbers which, when multiplied, give 55 as the result.

The following table represents the calculation of factors of 55 in pairs:

Factor Pair Pair Factorization
1 and 55 1 x 55 = 55
5 and 11 5 x 11 = 55

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 55. They are called negative pair factors.

Hence, the negative pairs of 55 would be ( -1 , -55 ) , ( -5 , -11 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 55 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 11, 55 are exact divisors of 55.
• Factors of 55 are 1, 5, 11, 55. Each factor divides 55 without leaving a remainder.

• What are the prime factors of 55?

The factors of 55 are 1, 5, 11, 55.
Prime factors of 55 are 5, 11.

• What is the sum of all factors of 55?

The sum of all factors of 55 is 72.

• What are the pair factors of 55?

Pair factors of 55 are (1,55), (5,11).

• What two numbers make 55?

Two numbers that make 55 are 5 and 11.

• What are multiples of 55?

First five multiples of 55 are 110, 165, 220, 275.

• Is 55 a perfect square?

No 55 is not a perfect square.

• Which is greatest factor of 55?

The greatest factor of 55 is 11.

• How do you factors of 55?

Factors of 55 are 1, 5, 11, 55.

• What are five multiples of 55?

First five multiples of 55 are 110, 165, 220, 275, 330.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 55?

Factors of 55 are 1, 5, 11, 55.
Even factors of 55 are 0.
Hence, product of even factors of 55 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 55? Help her in writing all the factors.

Positive factors are 1, 5, 11, 55.
Negative factors are -1, -5, -11, -55.

How many factors are there for 55?

Factors of 55 are 1, 5, 11, 55.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 55. Can you help him find them?

Factors of 55 are 1, 5, 11, 55.
Prime factors of 55 are 5, 11

Joey wants to write all the prime factors of 55 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 55 are 5, 11.
So in exponential form it can be written as 5 x 11.

What is prime factorization of 55?

Prime factorization of 55 is 5 x 11 = 5 x 11.

Can you help Rubel to find out the product of the even factors of 55?

Factors of 55 are 1, 5, 11, 55.
Even factors of 55 are 0.
Hence, product of even factors of 55 is; 0 = 0.