Prime Factors of 638

Steps to find Prime Factors of 638 by Division Method

To find the primefactors of 638 using the division method, follow these steps:

• Step 1. Start dividing 638 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 638, which is 2. Divide 638 by 2 to obtain the quotient (319).
  638 ÷ 2 = 319
• Step 3. Repeat step 1 with the obtained quotient (319).
  319 ÷ 11 = 29
  29 ÷ 29 = 1

So, the prime factorization of 638 is, 638 = 2 x 11 x 29.

Steps to find Prime Factors of 638 by Factor Tree Method

We can follow the same procedure using the factor tree of 638 as shown below:

So, the prime factorization of 638 is, 638 = 2 x 11 x 29.

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 638 are 2 x 11 x 29.

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 638 but not a prime factor of 638.

Frequently Asked Questions

• Which is the smallest prime factor of 638?

  Smallest prime factor of 638 is 2.

• Is 638 a perfect square?

  No 638 is not a perfect square.

• What is the prime factorization of 638?

  Prime factorization of 638 is 2 x 11 x 29.

• What are the factors of 638?

  Factors of 638 are 1 , 2 , 11 , 22 , 29 , 58 , 319 , 638.

• What is the product of all prime factors of 638?

  Prime factors of 638 are 2 x 11 x 29. Therefore, their product is 638.

• What numbers are the prime factors of 638?

  Prime factors of 638 are 2 , 11 , 29.

• What is the sum of all odd prime factors of 638?

  Prime factors of 638 are 2 , 11 , 29, out of which 11 , 29 are odd numbers. So, the sum of odd prime factors of 638 is 11 + 29 = 40.

• Is there any even prime factor of 638?

  Yes there is a even prime factor of 638.

• What is the product of all odd prime factors of 638?

  Prime factors of 638 are 2 , 11 , 29, out of which 11 , 29 are odd numbers. So, the product of odd prime factors of 638 is 11 x 29 = 319.