Prime Factors of 171

Steps to find Prime Factors of 171 by Division Method

To find the primefactors of 171 using the division method, follow these steps:

• Step 1. Start dividing 171 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 171, which is 3. Divide 171 by 3 to obtain the quotient (57).
  171 ÷ 3 = 57
• Step 3. Repeat step 1 with the obtained quotient (57).
  57 ÷ 3 = 19
  19 ÷ 19 = 1

So, the prime factorization of 171 is, 171 = 3 x 3 x 19.

Steps to find Prime Factors of 171 by Factor Tree Method

We can follow the same procedure using the factor tree of 171 as shown below:

So, the prime factorization of 171 is, 171 = 3 x 3 x 19.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 171 are 3 x 3 x 19.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 171 but not a prime factor of 171.

Frequently Asked Questions

• Which is the smallest prime factor of 171?

  Smallest prime factor of 171 is 3.

• Is 171 a perfect square?

  No 171 is not a perfect square.

• What is the prime factorization of 171?

  Prime factorization of 171 is 3 x 3 x 19.

• What is prime factorization of 171 in exponential form?

  Prime factorization of 171 in exponential form is 3² x 19.

• Is 171 a prime number?

  false, 171 is not a prime number.

• Which is the largest prime factors of 171?

  The largest prime factor of 171 is 19.

• What is the product of all prime factors of 171?

  Prime factors of 171 are 3 x 3 x 19. Therefore, their product is 171.

• What is the sum of all odd prime factors of 171?

  Prime factors of 171 are 3 , 3 , 19, out of which 3 , 3 , 19 are odd numbers. So, the sum of odd prime factors of 171 is 3 + 3 + 19 = 25.

• What is the product of all odd prime factors of 171?

  Prime factors of 171 are 3 , 3 , 19, out of which 3 , 3 , 19 are odd numbers. So, the product of odd prime factors of 171 is 3 x 3 x 19 = 171.