Prime Factors of 3969

Steps to find Prime Factors of 3969 by Division Method

To find the primefactors of 3969 using the division method, follow these steps:

• Step 1. Start dividing 3969 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 3969, which is 3. Divide 3969 by 3 to obtain the quotient (1323).
  3969 ÷ 3 = 1323
• Step 3. Repeat step 1 with the obtained quotient (1323).
  1323 ÷ 3 = 441
  441 ÷ 3 = 147
  147 ÷ 3 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 3969 is, 3969 = 3 x 3 x 3 x 3 x 7 x 7.

Steps to find Prime Factors of 3969 by Factor Tree Method

We can follow the same procedure using the factor tree of 3969 as shown below:

So, the prime factorization of 3969 is, 3969 = 3 x 3 x 3 x 3 x 7 x 7.

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 3969 are 3 x 3 x 3 x 3 x 7 x 7.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 3969 but not a prime factor of 3969.

Frequently Asked Questions

• Which is the smallest prime factor of 3969?

  Smallest prime factor of 3969 is 3.

• What is the prime factorization of 3969?

  Prime factorization of 3969 is 3 x 3 x 3 x 3 x 7 x 7.

• What is prime factorization of 3969 in exponential form?

  Prime factorization of 3969 in exponential form is 3⁴ x 7².

• Is 3969 a prime number or a composite number?

  3969 is a composite number.

• Is 3969 a prime number?

  false, 3969 is not a prime number.

• How to find prime factorization of 3969 easily?

  To find prime factorization of 3969 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 3969?

  The largest prime factor of 3969 is 7.

• What is the product of all prime factors of 3969?

  Prime factors of 3969 are 3 x 3 x 3 x 3 x 7 x 7. Therefore, their product is 3969.

• What is the sum of all odd prime factors of 3969?

  Prime factors of 3969 are 3 , 3 , 3 , 3 , 7 , 7, out of which 3 , 3 , 3 , 3 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 3969 is 3 + 3 + 3 + 3 + 7 + 7 = 26.