Prime Factors of 117

Steps to find Prime Factors of 117 by Division Method

To find the primefactors of 117 using the division method, follow these steps:

• Step 1. Start dividing 117 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 117, which is 3. Divide 117 by 3 to obtain the quotient (39).
  117 ÷ 3 = 39
• Step 3. Repeat step 1 with the obtained quotient (39).
  39 ÷ 3 = 13
  13 ÷ 13 = 1

So, the prime factorization of 117 is, 117 = 3 x 3 x 13.

Steps to find Prime Factors of 117 by Factor Tree Method

We can follow the same procedure using the factor tree of 117 as shown below:

So, the prime factorization of 117 is, 117 = 3 x 3 x 13.

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 117 are 3 x 3 x 13.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 117 but not a prime factor of 117.

Frequently Asked Questions

• Which is the smallest prime factor of 117?

  Smallest prime factor of 117 is 3.

• Is 117 a perfect square?

  No 117 is not a perfect square.

• What is the prime factorization of 117?

  Prime factorization of 117 is 3 x 3 x 13.

• What are the factors of 117?

  Factors of 117 are 1 , 3 , 9 , 13 , 39 , 117.

• What is prime factorization of 117 in exponential form?

  Prime factorization of 117 in exponential form is 3² x 13.

• Is 117 a prime number or a composite number?

  117 is a composite number.

• Is 117 a prime number?

  false, 117 is not a prime number.

• How to find prime factorization of 117 easily?

  To find prime factorization of 117 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 117?

  The largest prime factor of 117 is 13.