# Prime Factors of 2772

Prime Factors of 2772 are 2, 2, 3, 3, 7, and 11

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

 1.   Prime Factorization of 2772 by Division Method 2.   Prime Factorization of 2772 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 2772 by Division Method

To find the primefactors of 2772 using the division method, follow these steps:

• Step 1. Start dividing 2772 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 2772, which is 2. Divide 2772 by 2 to obtain the quotient (1386).
2772 ÷ 2 = 1386
• Step 3. Repeat step 1 with the obtained quotient (1386).
1386 ÷ 2 = 693
693 ÷ 3 = 231
231 ÷ 3 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 2772 is, 2772 = 2 x 2 x 3 x 3 x 7 x 11.

#### Steps to find Prime Factors of 2772 by Factor Tree Method

We can follow the same procedure using the factor tree of 2772 as shown below:

So, the prime factorization of 2772 is, 2772 = 2 x 2 x 3 x 3 x 7 x 11.

#### How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 2772 are 2 x 2 x 3 x 3 x 7 x 11.

#### 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 2772 but not a prime factor of 2772.

• Which is the smallest prime factor of 2772?

Smallest prime factor of 2772 is 2.

• What is the prime factorization of 2772?

Prime factorization of 2772 is 2 x 2 x 3 x 3 x 7 x 11.

• What are the factors of 2772?

Factors of 2772 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 11 , 12 , 14 , 18 , 21 , 22 , 28 , 33 , 36 , 42 , 44 , 63 , 66 , 77 , 84 , 99 , 126 , 132 , 154 , 198 , 231 , 252 , 308 , 396 , 462 , 693 , 924 , 1386 , 2772.

• Is 2772 a prime number or a composite number?

2772 is a composite number.

• Is 2772 a prime number?

false, 2772 is not a prime number.

• Which is the largest prime factors of 2772?

The largest prime factor of 2772 is 11.

• What is the sum of all prime factors of 2772?

Prime factors of 2772 are 2 x 2 x 3 x 3 x 7 x 11. Therefore, their sum is 28.

• What numbers are the prime factors of 2772?

Prime factors of 2772 are 2 , 2 , 3 , 3 , 7 , 11.

• What is the sum of all odd prime factors of 2772?

Prime factors of 2772 are 2 , 2 , 3 , 3 , 7 , 11, out of which 3 , 3 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 2772 is 3 + 3 + 7 + 11 = 24.