Factors of 110

Do you know that when you multiply the two consecutive numbers 10 and 11, you get 110? In this chapter, we will calculate the factors of 110, prime factors of 110, and factors of 110 in pairs along with solved examples for a better understanding.

• Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110
• Prime Factorization of 110: 110 = 2 × 5 × 11 

What are the Factors of 110?

Factors of 110 are the numbers which when multiplied in pairs give the product as 110.  The factors of 110 are those numbers which divide it without leaving any remainder. So, when you multiply any two whole numbers with each other and get 110 as the answer, you can say that both these numbers are the factors of 110.
Observe the following numbers. You get 110 as the product after multiplying the given numbers.

1 × 110 = 110

2 × 55 = 110 

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

So, we can say that "The factors of 110 are all the integers that 110 can be divided into."
 

How to Calculate the Factors of 110?

Let's calculate the factors of 110, starting with the smallest whole number, i.e., 1.
Divide 110 with this number. Is the remainder 0?

Yes! So, we get

110/1 = 110

110 × 1 = 110

The next whole number is 2

Now, divide 110 with this number.

110/2 = 55

2 × 55 = 110

Proceeding in a similar manner we get,

110 = 1 × 110 = 2 × 55 = 5 × 22 = 10 ×11

Finally, we get all the factors of 110 as :

Hence, the factors of 110 are 1, 2, 5, 10, 11, 22, 55 and 110.

Explore factors using illustrations and interactive examples.

• Factors of 112 - The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
• Factors of 108 - The factors of 108 are  1, 2, 3 , 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

Factors of 110 by Prime Factorization

"Prime factorization means to express a composite number as the product of its prime factors". To get the prime factorization of 110, we divide it by its smallest prime factor which is 2

110/2 = 55

Now, 55 is divided by its smallest prime factor and the quotient is obtained. This process goes on till we get the quotient as 1.

The prime factorization of 110 is shown below:

Hence, the prime factors of 110 are 2, 5, and 11.

Factors of 110 in Pairs

The pairs of numbers, which when multiplied give 110,  are known as the factor pairs of 110. Observe the following factors of 110 in pairs.

As seen in the table given above, after 10 × 11, there are no new factors. So, it is enough to find factors till (10,11).

If we consider negative integers, then both the numbers in the pair factors will be negative.  Since ( - ve × - ve ) = +ve, we can list the factor pairs of 110 as (-1, -110); (-2, -55); (-5, -22), and (-10, -11). 

Important Notes:

• As 110 ends with the digit 0, it will have 5 and 10 as its factors. This holds true for all the numbers that end with 0
• 110 is a non-perfect square number. Thus, it will have even number of factors. This property holds true for every non-perfect square number.

FAQs on Factors of 110

What are the prime factors of 110?

The prime factors of 110 are 2, 5, and 11.

What is the GCF of 110 and 120?

GCF stands for the greatest common factor of two or more numbers. The GCF of 110 and 120 will be 10.

Which is the smallest prime factor of 110?

The smallest prime factor of 110 is 2.

Which is the largest prime factor of 110?

The largest prime factor of 110 is 11.

What are the common factors of 110 and 140?

The factors of 110 are 1, 2, 5, 10, 11, 22, 55 and 110.The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.
Thus, the common factors of 100 and 140 are 1, 2, 5 and 10.