Prime Factors of 137

Steps to find Prime Factors of 137 by Division Method

To find the primefactors of 137 using the division method, follow these steps:

• Step 1. Start dividing 137 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 137, which is 137. Divide 137 by 137 to obtain the quotient (1).
  137 ÷ 137 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 137 is, 137 = 137.

Steps to find Prime Factors of 137 by Factor Tree Method

We can follow the same procedure using the factor tree of 137 as shown below:

So, the prime factorization of 137 is, 137 = 137.

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 137 are 137.

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 137 but not a prime factor of 137.

Frequently Asked Questions

• Which is the smallest prime factor of 137?

  Smallest prime factor of 137 is 137.

• What is the prime factorization of 137?

  Prime factorization of 137 is 137.

• What is prime factorization of 137 in exponential form?

  Prime factorization of 137 in exponential form is 137.

• Is 137 a prime number or a composite number?

  137 is a prime number.

• Is 137 a prime number?

  true, 137 is a prime number.

• How to find prime factorization of 137 easily?

  To find prime factorization of 137 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 137?

  The largest prime factor of 137 is 137.

• What is the product of all prime factors of 137?

  Prime factors of 137 are 137. Therefore, their product is 137.

• What is the sum of all odd prime factors of 137?

  Prime factors of 137 are 137, out of which 137 are odd numbers. So, the sum of odd prime factors of 137 is 137 = 137.