Prime Factors of 174

Steps to find Prime Factors of 174 by Division Method

To find the primefactors of 174 using the division method, follow these steps:

• Step 1. Start dividing 174 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 174, which is 2. Divide 174 by 2 to obtain the quotient (87).
  174 ÷ 2 = 87
• Step 3. Repeat step 1 with the obtained quotient (87).
  87 ÷ 3 = 29
  29 ÷ 29 = 1

So, the prime factorization of 174 is, 174 = 2 x 3 x 29.

Steps to find Prime Factors of 174 by Factor Tree Method

We can follow the same procedure using the factor tree of 174 as shown below:

So, the prime factorization of 174 is, 174 = 2 x 3 x 29.

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 174 are 2 x 3 x 29.

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 174 but not a prime factor of 174.

Frequently Asked Questions

• Which is the smallest prime factor of 174?

  Smallest prime factor of 174 is 2.

• Is 174 a perfect square?

  No 174 is not a perfect square.

• What is the prime factorization of 174?

  Prime factorization of 174 is 2 x 3 x 29.

• What are the factors of 174?

  Factors of 174 are 1 , 2 , 3 , 6 , 29 , 58 , 87 , 174.

• What is the product of all prime factors of 174?

  Prime factors of 174 are 2 x 3 x 29. Therefore, their product is 174.

• What numbers are the prime factors of 174?

  Prime factors of 174 are 2 , 3 , 29.

• What is the sum of all odd prime factors of 174?

  Prime factors of 174 are 2 , 3 , 29, out of which 3 , 29 are odd numbers. So, the sum of odd prime factors of 174 is 3 + 29 = 32.

• Is there any even prime factor of 174?

  Yes there is a even prime factor of 174.

• What is the product of all odd prime factors of 174?

  Prime factors of 174 are 2 , 3 , 29, out of which 3 , 29 are odd numbers. So, the product of odd prime factors of 174 is 3 x 29 = 87.