Prime Factors of 382

Steps to find Prime Factors of 382 by Division Method

To find the primefactors of 382 using the division method, follow these steps:

• Step 1. Start dividing 382 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 382, which is 2. Divide 382 by 2 to obtain the quotient (191).
  382 ÷ 2 = 191
• Step 3. Repeat step 1 with the obtained quotient (191).
  191 ÷ 191 = 1

So, the prime factorization of 382 is, 382 = 2 x 191.

Steps to find Prime Factors of 382 by Factor Tree Method

We can follow the same procedure using the factor tree of 382 as shown below:

So, the prime factorization of 382 is, 382 = 2 x 191.

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 382 are 2 x 191.

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 382 but not a prime factor of 382.

Frequently Asked Questions

• Which is the smallest prime factor of 382?

  Smallest prime factor of 382 is 2.

• Is 382 a perfect square?

  No 382 is not a perfect square.

• What is the prime factorization of 382?

  Prime factorization of 382 is 2 x 191.

• What are the factors of 382?

  Factors of 382 are 1 , 2 , 191 , 382.

• What is the product of all prime factors of 382?

  Prime factors of 382 are 2 x 191. Therefore, their product is 382.

• What numbers are the prime factors of 382?

  Prime factors of 382 are 2 , 191.

• What is the sum of all odd prime factors of 382?

  Prime factors of 382 are 2 , 191, out of which 191 are odd numbers. So, the sum of odd prime factors of 382 is 191 = 191.

• Is there any even prime factor of 382?

  Yes there is a even prime factor of 382.

• What is the product of all odd prime factors of 382?

  Prime factors of 382 are 2 , 191, out of which 191 are odd numbers. So, the product of odd prime factors of 382 is 191 = 191.