# Prime Factors of 3388

Prime Factors of 3388 are 2, 2, 7, 11, and 11

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

 1.   Prime Factorization of 3388 by Division Method 2.   Prime Factorization of 3388 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 3388 by Division Method

To find the primefactors of 3388 using the division method, follow these steps:

• Step 1. Start dividing 3388 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 3388, which is 2. Divide 3388 by 2 to obtain the quotient (1694).
3388 ÷ 2 = 1694
• Step 3. Repeat step 1 with the obtained quotient (1694).
1694 ÷ 2 = 847
847 ÷ 7 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1

So, the prime factorization of 3388 is, 3388 = 2 x 2 x 7 x 11 x 11.

#### Steps to find Prime Factors of 3388 by Factor Tree Method

We can follow the same procedure using the factor tree of 3388 as shown below:

So, the prime factorization of 3388 is, 3388 = 2 x 2 x 7 x 11 x 11.

#### 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 3388 are 2 x 2 x 7 x 11 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 3388 but not a prime factor of 3388.

• Which is the smallest prime factor of 3388?

Smallest prime factor of 3388 is 2.

• What is the prime factorization of 3388?

Prime factorization of 3388 is 2 x 2 x 7 x 11 x 11.

• What are the factors of 3388?

Factors of 3388 are 1 , 2 , 4 , 7 , 11 , 14 , 22 , 28 , 44 , 77 , 121 , 154 , 242 , 308 , 484 , 847 , 1694 , 3388.

• Is 3388 a prime number or a composite number?

3388 is a composite number.

• Is 3388 a prime number?

false, 3388 is not a prime number.

• Which is the largest prime factors of 3388?

The largest prime factor of 3388 is 11.

• What is the sum of all prime factors of 3388?

Prime factors of 3388 are 2 x 2 x 7 x 11 x 11. Therefore, their sum is 33.

• What numbers are the prime factors of 3388?

Prime factors of 3388 are 2 , 2 , 7 , 11 , 11.

• What is the sum of all odd prime factors of 3388?

Prime factors of 3388 are 2 , 2 , 7 , 11 , 11, out of which 7 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 3388 is 7 + 11 + 11 = 29.