Prime Factors of 438

Steps to find Prime Factors of 438 by Division Method

To find the primefactors of 438 using the division method, follow these steps:

• Step 1. Start dividing 438 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 438, which is 2. Divide 438 by 2 to obtain the quotient (219).
  438 ÷ 2 = 219
• Step 3. Repeat step 1 with the obtained quotient (219).
  219 ÷ 3 = 73
  73 ÷ 73 = 1

So, the prime factorization of 438 is, 438 = 2 x 3 x 73.

Steps to find Prime Factors of 438 by Factor Tree Method

We can follow the same procedure using the factor tree of 438 as shown below:

So, the prime factorization of 438 is, 438 = 2 x 3 x 73.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 438 are 2 x 3 x 73.

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 438 but not a prime factor of 438.

Frequently Asked Questions

• Which is the smallest prime factor of 438?

  Smallest prime factor of 438 is 2.

• Is 438 a perfect square?

  No 438 is not a perfect square.

• What is the prime factorization of 438?

  Prime factorization of 438 is 2 x 3 x 73.

• What are the factors of 438?

  Factors of 438 are 1 , 2 , 3 , 6 , 73 , 146 , 219 , 438.

• What is the product of all prime factors of 438?

  Prime factors of 438 are 2 x 3 x 73. Therefore, their product is 438.

• What numbers are the prime factors of 438?

  Prime factors of 438 are 2 , 3 , 73.

• What is the sum of all odd prime factors of 438?

  Prime factors of 438 are 2 , 3 , 73, out of which 3 , 73 are odd numbers. So, the sum of odd prime factors of 438 is 3 + 73 = 76.

• Is there any even prime factor of 438?

  Yes there is a even prime factor of 438.

• What is the product of all odd prime factors of 438?

  Prime factors of 438 are 2 , 3 , 73, out of which 3 , 73 are odd numbers. So, the product of odd prime factors of 438 is 3 x 73 = 219.