Prime Factors of 5476

Steps to find Prime Factors of 5476 by Division Method

To find the primefactors of 5476 using the division method, follow these steps:

• Step 1. Start dividing 5476 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 5476, which is 2. Divide 5476 by 2 to obtain the quotient (2738).
  5476 ÷ 2 = 2738
• Step 3. Repeat step 1 with the obtained quotient (2738).
  2738 ÷ 2 = 1369
  1369 ÷ 37 = 37
  37 ÷ 37 = 1

So, the prime factorization of 5476 is, 5476 = 2 x 2 x 37 x 37.

Steps to find Prime Factors of 5476 by Factor Tree Method

We can follow the same procedure using the factor tree of 5476 as shown below:

So, the prime factorization of 5476 is, 5476 = 2 x 2 x 37 x 37.

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 5476 are 2 x 2 x 37 x 37.

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 5476 but not a prime factor of 5476.

Frequently Asked Questions

• Which is the smallest prime factor of 5476?

  Smallest prime factor of 5476 is 2.

• What is the prime factorization of 5476?

  Prime factorization of 5476 is 2 x 2 x 37 x 37.

• What are the factors of 5476?

  Factors of 5476 are 1 , 2 , 4 , 37 , 74 , 148 , 1369 , 2738 , 5476.

• Is 5476 a prime number or a composite number?

  5476 is a composite number.

• Is 5476 a prime number?

  false, 5476 is not a prime number.

• Which is the largest prime factors of 5476?

  The largest prime factor of 5476 is 37.

• What is the sum of all prime factors of 5476?

  Prime factors of 5476 are 2 x 2 x 37 x 37. Therefore, their sum is 78.

• What numbers are the prime factors of 5476?

  Prime factors of 5476 are 2 , 2 , 37 , 37.

• What is the sum of all odd prime factors of 5476?

  Prime factors of 5476 are 2 , 2 , 37 , 37, out of which 37 , 37 are odd numbers. So, the sum of odd prime factors of 5476 is 37 + 37 = 74.