# Prime Factors of 6174

Prime Factors of 6174 are 2, 3, 3, 7, 7, and 7

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

 1.   Prime Factorization of 6174 by Division Method 2.   Prime Factorization of 6174 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 6174 by Division Method

To find the primefactors of 6174 using the division method, follow these steps:

• Step 1. Start dividing 6174 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 6174, which is 2. Divide 6174 by 2 to obtain the quotient (3087).
6174 ÷ 2 = 3087
• Step 3. Repeat step 1 with the obtained quotient (3087).
3087 ÷ 3 = 1029
1029 ÷ 3 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 6174 is, 6174 = 2 x 3 x 3 x 7 x 7 x 7.

#### Steps to find Prime Factors of 6174 by Factor Tree Method

We can follow the same procedure using the factor tree of 6174 as shown below:

So, the prime factorization of 6174 is, 6174 = 2 x 3 x 3 x 7 x 7 x 7.

#### What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 6174 are 2 x 3 x 3 x 7 x 7 x 7.

#### Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 6174 but not a prime factor of 6174.

• Which is the smallest prime factor of 6174?

Smallest prime factor of 6174 is 2.

• Is 6174 a perfect square?

No 6174 is not a perfect square.

• What is the prime factorization of 6174?

Prime factorization of 6174 is 2 x 3 x 3 x 7 x 7 x 7.

• What are the factors of 6174?

Factors of 6174 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 18 , 21 , 42 , 49 , 63 , 98 , 126 , 147 , 294 , 343 , 441 , 686 , 882 , 1029 , 2058 , 3087 , 6174.

• What is the product of all prime factors of 6174?

Prime factors of 6174 are 2 x 3 x 3 x 7 x 7 x 7. Therefore, their product is 6174.

• What numbers are the prime factors of 6174?

Prime factors of 6174 are 2 , 3 , 3 , 7 , 7 , 7.

• What is the sum of all odd prime factors of 6174?

Prime factors of 6174 are 2 , 3 , 3 , 7 , 7 , 7, out of which 3 , 3 , 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 6174 is 3 + 3 + 7 + 7 + 7 = 27.

• Is there any even prime factor of 6174?

Yes there is a even prime factor of 6174.

• What is the product of all odd prime factors of 6174?

Prime factors of 6174 are 2 , 3 , 3 , 7 , 7 , 7, out of which 3 , 3 , 7 , 7 , 7 are odd numbers. So, the product of odd prime factors of 6174 is 3 x 3 x 7 x 7 x 7 = 3087.