Prime Factors of 172

Steps to find Prime Factors of 172 by Division Method

To find the primefactors of 172 using the division method, follow these steps:

• Step 1. Start dividing 172 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 172, which is 2. Divide 172 by 2 to obtain the quotient (86).
  172 ÷ 2 = 86
• Step 3. Repeat step 1 with the obtained quotient (86).
  86 ÷ 2 = 43
  43 ÷ 43 = 1

So, the prime factorization of 172 is, 172 = 2 x 2 x 43.

Steps to find Prime Factors of 172 by Factor Tree Method

We can follow the same procedure using the factor tree of 172 as shown below:

So, the prime factorization of 172 is, 172 = 2 x 2 x 43.

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 172 are 2 x 2 x 43.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 172 but not a prime factor of 172.

Frequently Asked Questions

• Which is the smallest prime factor of 172?

  Smallest prime factor of 172 is 2.

• What is the prime factorization of 172?

  Prime factorization of 172 is 2 x 2 x 43.

• What are the factors of 172?

  Factors of 172 are 1 , 2 , 4 , 43 , 86 , 172.

• Is 172 a prime number or a composite number?

  172 is a composite number.

• Is 172 a prime number?

  false, 172 is not a prime number.

• Which is the largest prime factors of 172?

  The largest prime factor of 172 is 43.

• What is the sum of all prime factors of 172?

  Prime factors of 172 are 2 x 2 x 43. Therefore, their sum is 47.

• What numbers are the prime factors of 172?

  Prime factors of 172 are 2 , 2 , 43.

• What is the sum of all odd prime factors of 172?

  Prime factors of 172 are 2 , 2 , 43, out of which 43 are odd numbers. So, the sum of odd prime factors of 172 is 43 = 43.