Prime Factors of 30

Steps to find Prime Factors of 30 by Division Method

To find the primefactors of 30 using the division method, follow these steps:

• Step 1. Start dividing 30 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 30, which is 2. Divide 30 by 2 to obtain the quotient (15).
  30 ÷ 2 = 15
• Step 3. Repeat step 1 with the obtained quotient (15).
  15 ÷ 3 = 5
  5 ÷ 5 = 1

So, the prime factorization of 30 is, 30 = 2 x 3 x 5.

Steps to find Prime Factors of 30 by Factor Tree Method

We can follow the same procedure using the factor tree of 30 as shown below:

So, the prime factorization of 30 is, 30 = 2 x 3 x 5.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 30 are 2 x 3 x 5.

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 30 but not a prime factor of 30.

Frequently Asked Questions

• Which is the smallest prime factor of 30?

  Smallest prime factor of 30 is 2.

• Is 30 a perfect square?

  No 30 is not a perfect square.

• What is the prime factorization of 30?

  Prime factorization of 30 is 2 x 3 x 5.

• What are the factors of 30?

  Factors of 30 are 1 , 2 , 3 , 5 , 6 , 10 , 15 , 30.

• What is the product of all prime factors of 30?

  Prime factors of 30 are 2 x 3 x 5. Therefore, their product is 30.

• What numbers are the prime factors of 30?

  Prime factors of 30 are 2 , 3 , 5.

• What is the sum of all odd prime factors of 30?

  Prime factors of 30 are 2 , 3 , 5, out of which 3 , 5 are odd numbers. So, the sum of odd prime factors of 30 is 3 + 5 = 8.

• Is there any even prime factor of 30?

  Yes there is a even prime factor of 30.

• What is the product of all odd prime factors of 30?

  Prime factors of 30 are 2 , 3 , 5, out of which 3 , 5 are odd numbers. So, the product of odd prime factors of 30 is 3 x 5 = 15.