# Prime Factors of 3377

Prime Factors of 3377 are 11 and 307

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

 1.   Prime Factorization of 3377 by Division Method 2.   Prime Factorization of 3377 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 3377 by Division Method

To find the primefactors of 3377 using the division method, follow these steps:

• Step 1. Start dividing 3377 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 3377, which is 11. Divide 3377 by 11 to obtain the quotient (307).
3377 ÷ 11 = 307
• Step 3. Repeat step 1 with the obtained quotient (307).
307 ÷ 307 = 1

So, the prime factorization of 3377 is, 3377 = 11 x 307.

#### Steps to find Prime Factors of 3377 by Factor Tree Method

We can follow the same procedure using the factor tree of 3377 as shown below:

So, the prime factorization of 3377 is, 3377 = 11 x 307.

#### 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 3377 are 11 x 307.

#### Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 3377 but not a prime factor of 3377.

#### Frequently Asked Questions

• Which is the smallest prime factor of 3377?

Smallest prime factor of 3377 is 11.

• What is the prime factorization of 3377?

Prime factorization of 3377 is 11 x 307.

• What is prime factorization of 3377 in exponential form?

Prime factorization of 3377 in exponential form is 11 x 307.

• Is 3377 a prime number or a composite number?

3377 is a composite number.

• Is 3377 a prime number?

false, 3377 is not a prime number.

• How to find prime factorization of 3377 easily?

To find prime factorization of 3377 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 3377?

The largest prime factor of 3377 is 307.

• What is the product of all prime factors of 3377?

Prime factors of 3377 are 11 x 307. Therefore, their product is 3377.

• What is the sum of all odd prime factors of 3377?

Prime factors of 3377 are 11 , 307, out of which 11 , 307 are odd numbers. So, the sum of odd prime factors of 3377 is 11 + 307 = 318.

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