# Prime Factors of 2268

Prime Factors of 2268 are 2, 2, 3, 3, 3, 3, and 7

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

 1.   Prime Factorization of 2268 by Division Method 2.   Prime Factorization of 2268 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 2268 by Division Method

To find the primefactors of 2268 using the division method, follow these steps:

• Step 1. Start dividing 2268 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 2268, which is 2. Divide 2268 by 2 to obtain the quotient (1134).
2268 ÷ 2 = 1134
• Step 3. Repeat step 1 with the obtained quotient (1134).
1134 ÷ 2 = 567
567 ÷ 3 = 189
189 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1

So, the prime factorization of 2268 is, 2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7.

#### Steps to find Prime Factors of 2268 by Factor Tree Method

We can follow the same procedure using the factor tree of 2268 as shown below:

So, the prime factorization of 2268 is, 2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 2268 are 2 x 2 x 3 x 3 x 3 x 3 x 7.

#### 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 2268 but not a prime factor of 2268.

• Which is the smallest prime factor of 2268?

Smallest prime factor of 2268 is 2.

• What is the prime factorization of 2268?

Prime factorization of 2268 is 2 x 2 x 3 x 3 x 3 x 3 x 7.

• What are the factors of 2268?

Factors of 2268 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 12 , 14 , 18 , 21 , 27 , 28 , 36 , 42 , 54 , 63 , 81 , 84 , 108 , 126 , 162 , 189 , 252 , 324 , 378 , 567 , 756 , 1134 , 2268.

• Is 2268 a prime number or a composite number?

2268 is a composite number.

• Is 2268 a prime number?

false, 2268 is not a prime number.

• Which is the largest prime factors of 2268?

The largest prime factor of 2268 is 7.

• What is the sum of all prime factors of 2268?

Prime factors of 2268 are 2 x 2 x 3 x 3 x 3 x 3 x 7. Therefore, their sum is 23.

• What numbers are the prime factors of 2268?

Prime factors of 2268 are 2 , 2 , 3 , 3 , 3 , 3 , 7.

• What is the sum of all odd prime factors of 2268?

Prime factors of 2268 are 2 , 2 , 3 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 2268 is 3 + 3 + 3 + 3 + 7 = 19.