Prime Factors of 639

Steps to find Prime Factors of 639 by Division Method

To find the primefactors of 639 using the division method, follow these steps:

• Step 1. Start dividing 639 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 639, which is 3. Divide 639 by 3 to obtain the quotient (213).
  639 ÷ 3 = 213
• Step 3. Repeat step 1 with the obtained quotient (213).
  213 ÷ 3 = 71
  71 ÷ 71 = 1

So, the prime factorization of 639 is, 639 = 3 x 3 x 71.

Steps to find Prime Factors of 639 by Factor Tree Method

We can follow the same procedure using the factor tree of 639 as shown below:

So, the prime factorization of 639 is, 639 = 3 x 3 x 71.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 639 are 3 x 3 x 71.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 639 but not a prime factor of 639.

Frequently Asked Questions

• Which is the smallest prime factor of 639?

  Smallest prime factor of 639 is 3.

• What are the factors of 639?

  Factors of 639 are 1 , 3 , 9 , 71 , 213 , 639.

• What is prime factorization of 639 in exponential form?

  Prime factorization of 639 in exponential form is 3² x 71.

• Is 639 a prime number or a composite number?

  639 is a composite number.

• Is 639 a prime number?

  false, 639 is not a prime number.

• What is the sum of all prime factors of 639?

  Prime factors of 639 are 3 x 3 x 71. Therefore, their sum is 77.

• What is the product of all prime factors of 639?

  Prime factors of 639 are 3 x 3 x 71. Therefore, their product is 639.

• What numbers are the prime factors of 639?

  Prime factors of 639 are 3 , 3 , 71.

• What is the sum of all odd prime factors of 639?

  Prime factors of 639 are 3 , 3 , 71, out of which 3 , 3 , 71 are odd numbers. So, the sum of odd prime factors of 639 is 3 + 3 + 71 = 77.