Prime Factors of 302

Steps to find Prime Factors of 302 by Division Method

To find the primefactors of 302 using the division method, follow these steps:

• Step 1. Start dividing 302 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 302, which is 2. Divide 302 by 2 to obtain the quotient (151).
  302 ÷ 2 = 151
• Step 3. Repeat step 1 with the obtained quotient (151).
  151 ÷ 151 = 1

So, the prime factorization of 302 is, 302 = 2 x 151.

Steps to find Prime Factors of 302 by Factor Tree Method

We can follow the same procedure using the factor tree of 302 as shown below:

So, the prime factorization of 302 is, 302 = 2 x 151.

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 302 are 2 x 151.

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 302 but not a prime factor of 302.

Frequently Asked Questions

• Which is the smallest prime factor of 302?

  Smallest prime factor of 302 is 2.

• Is 302 a perfect square?

  No 302 is not a perfect square.

• What is the prime factorization of 302?

  Prime factorization of 302 is 2 x 151.

• What are the factors of 302?

  Factors of 302 are 1 , 2 , 151 , 302.

• What is the product of all prime factors of 302?

  Prime factors of 302 are 2 x 151. Therefore, their product is 302.

• What numbers are the prime factors of 302?

  Prime factors of 302 are 2 , 151.

• What is the sum of all odd prime factors of 302?

  Prime factors of 302 are 2 , 151, out of which 151 are odd numbers. So, the sum of odd prime factors of 302 is 151 = 151.

• Is there any even prime factor of 302?

  Yes there is a even prime factor of 302.

• What is the product of all odd prime factors of 302?

  Prime factors of 302 are 2 , 151, out of which 151 are odd numbers. So, the product of odd prime factors of 302 is 151 = 151.