Prime Factors of 3376

Steps to find Prime Factors of 3376 by Division Method

To find the primefactors of 3376 using the division method, follow these steps:

• Step 1. Start dividing 3376 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 3376, which is 2. Divide 3376 by 2 to obtain the quotient (1688).
  3376 ÷ 2 = 1688
• Step 3. Repeat step 1 with the obtained quotient (1688).
  1688 ÷ 2 = 844
  844 ÷ 2 = 422
  422 ÷ 2 = 211
  211 ÷ 211 = 1

So, the prime factorization of 3376 is, 3376 = 2 x 2 x 2 x 2 x 211.

Steps to find Prime Factors of 3376 by Factor Tree Method

We can follow the same procedure using the factor tree of 3376 as shown below:

So, the prime factorization of 3376 is, 3376 = 2 x 2 x 2 x 2 x 211.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 3376 are 2 x 2 x 2 x 2 x 211.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 3376 but not a prime factor of 3376.

Frequently Asked Questions

• Which is the smallest prime factor of 3376?

  Smallest prime factor of 3376 is 2.

• Is 3376 a perfect square?

  No 3376 is not a perfect square.

• What is the prime factorization of 3376?

  Prime factorization of 3376 is 2 x 2 x 2 x 2 x 211.

• What is prime factorization of 3376 in exponential form?

  Prime factorization of 3376 in exponential form is 2⁴ x 211.

• Is 3376 a prime number or a composite number?

  3376 is a composite number.

• Which is the largest prime factors of 3376?

  The largest prime factor of 3376 is 211.

• What is the product of all prime factors of 3376?

  Prime factors of 3376 are 2 x 2 x 2 x 2 x 211. Therefore, their product is 3376.

• What numbers are the prime factors of 3376?

  Prime factors of 3376 are 2 , 2 , 2 , 2 , 211.

• Is there any even prime factor of 3376?

  Yes there is a even prime factor of 3376.