Prime Factors of 374

Steps to find Prime Factors of 374 by Division Method

To find the primefactors of 374 using the division method, follow these steps:

• Step 1. Start dividing 374 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 374, which is 2. Divide 374 by 2 to obtain the quotient (187).
  374 ÷ 2 = 187
• Step 3. Repeat step 1 with the obtained quotient (187).
  187 ÷ 11 = 17
  17 ÷ 17 = 1

So, the prime factorization of 374 is, 374 = 2 x 11 x 17.

Steps to find Prime Factors of 374 by Factor Tree Method

We can follow the same procedure using the factor tree of 374 as shown below:

So, the prime factorization of 374 is, 374 = 2 x 11 x 17.

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 374 are 2 x 11 x 17.

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 374 but not a prime factor of 374.

Frequently Asked Questions

• Which is the smallest prime factor of 374?

  Smallest prime factor of 374 is 2.

• Is 374 a perfect square?

  No 374 is not a perfect square.

• What is the prime factorization of 374?

  Prime factorization of 374 is 2 x 11 x 17.

• What are the factors of 374?

  Factors of 374 are 1 , 2 , 11 , 17 , 22 , 34 , 187 , 374.

• What is the product of all prime factors of 374?

  Prime factors of 374 are 2 x 11 x 17. Therefore, their product is 374.

• What numbers are the prime factors of 374?

  Prime factors of 374 are 2 , 11 , 17.

• What is the sum of all odd prime factors of 374?

  Prime factors of 374 are 2 , 11 , 17, out of which 11 , 17 are odd numbers. So, the sum of odd prime factors of 374 is 11 + 17 = 28.

• Is there any even prime factor of 374?

  Yes there is a even prime factor of 374.

• What is the product of all odd prime factors of 374?

  Prime factors of 374 are 2 , 11 , 17, out of which 11 , 17 are odd numbers. So, the product of odd prime factors of 374 is 11 x 17 = 187.