# Prime Factors of 1116

Prime Factors of 1116 are 2, 2, 3, 3, and 31

#### How to find prime factors of a number

 1.   Prime Factorization of 1116 by Division Method 2.   Prime Factorization of 1116 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1116 by Division Method

To find the primefactors of 1116 using the division method, follow these steps:

• Step 1. Start dividing 1116 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 1116, which is 2. Divide 1116 by 2 to obtain the quotient (558).
1116 ÷ 2 = 558
• Step 3. Repeat step 1 with the obtained quotient (558).
558 ÷ 2 = 279
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1

So, the prime factorization of 1116 is, 1116 = 2 x 2 x 3 x 3 x 31.

#### Steps to find Prime Factors of 1116 by Factor Tree Method

We can follow the same procedure using the factor tree of 1116 as shown below:

So, the prime factorization of 1116 is, 1116 = 2 x 2 x 3 x 3 x 31.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1116 are 2 x 2 x 3 x 3 x 31.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 1116 but not a prime factor of 1116.

• Which is the smallest prime factor of 1116?

Smallest prime factor of 1116 is 2.

• What is the prime factorization of 1116?

Prime factorization of 1116 is 2 x 2 x 3 x 3 x 31.

• What are the factors of 1116?

Factors of 1116 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 31 , 36 , 62 , 93 , 124 , 186 , 279 , 372 , 558 , 1116.

• Is 1116 a prime number or a composite number?

1116 is a composite number.

• Is 1116 a prime number?

false, 1116 is not a prime number.

• Which is the largest prime factors of 1116?

The largest prime factor of 1116 is 31.

• What is the sum of all prime factors of 1116?

Prime factors of 1116 are 2 x 2 x 3 x 3 x 31. Therefore, their sum is 41.

• What numbers are the prime factors of 1116?

Prime factors of 1116 are 2 , 2 , 3 , 3 , 31.

• What is the sum of all odd prime factors of 1116?

Prime factors of 1116 are 2 , 2 , 3 , 3 , 31, out of which 3 , 3 , 31 are odd numbers. So, the sum of odd prime factors of 1116 is 3 + 3 + 31 = 37.