Prime Factors of 3927

Steps to find Prime Factors of 3927 by Division Method

To find the primefactors of 3927 using the division method, follow these steps:

• Step 1. Start dividing 3927 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 3927, which is 3. Divide 3927 by 3 to obtain the quotient (1309).
  3927 ÷ 3 = 1309
• Step 3. Repeat step 1 with the obtained quotient (1309).
  1309 ÷ 7 = 187
  187 ÷ 11 = 17
  17 ÷ 17 = 1

So, the prime factorization of 3927 is, 3927 = 3 x 7 x 11 x 17.

Steps to find Prime Factors of 3927 by Factor Tree Method

We can follow the same procedure using the factor tree of 3927 as shown below:

So, the prime factorization of 3927 is, 3927 = 3 x 7 x 11 x 17.

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 3927 are 3 x 7 x 11 x 17.

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 3927 but not a prime factor of 3927.

Frequently Asked Questions

• Which is the smallest prime factor of 3927?

  Smallest prime factor of 3927 is 3.

• What are the factors of 3927?

  Factors of 3927 are 1 , 3 , 7 , 11 , 17 , 21 , 33 , 51 , 77 , 119 , 187 , 231 , 357 , 561 , 1309 , 3927.

• What is prime factorization of 3927 in exponential form?

  Prime factorization of 3927 in exponential form is 3 x 7 x 11 x 17.

• Is 3927 a prime number or a composite number?

  3927 is a composite number.

• Is 3927 a prime number?

  false, 3927 is not a prime number.

• What is the sum of all prime factors of 3927?

  Prime factors of 3927 are 3 x 7 x 11 x 17. Therefore, their sum is 38.

• What is the product of all prime factors of 3927?

  Prime factors of 3927 are 3 x 7 x 11 x 17. Therefore, their product is 3927.

• What numbers are the prime factors of 3927?

  Prime factors of 3927 are 3 , 7 , 11 , 17.

• What is the sum of all odd prime factors of 3927?

  Prime factors of 3927 are 3 , 7 , 11 , 17, out of which 3 , 7 , 11 , 17 are odd numbers. So, the sum of odd prime factors of 3927 is 3 + 7 + 11 + 17 = 38.