Prime Factors of 1356

Steps to find Prime Factors of 1356 by Division Method

To find the primefactors of 1356 using the division method, follow these steps:

• Step 1. Start dividing 1356 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 1356, which is 2. Divide 1356 by 2 to obtain the quotient (678).
  1356 ÷ 2 = 678
• Step 3. Repeat step 1 with the obtained quotient (678).
  678 ÷ 2 = 339
  339 ÷ 3 = 113
  113 ÷ 113 = 1

So, the prime factorization of 1356 is, 1356 = 2 x 2 x 3 x 113.

Steps to find Prime Factors of 1356 by Factor Tree Method

We can follow the same procedure using the factor tree of 1356 as shown below:

So, the prime factorization of 1356 is, 1356 = 2 x 2 x 3 x 113.

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 1356 are 2 x 2 x 3 x 113.

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 1356 but not a prime factor of 1356.

Frequently Asked Questions

• Which is the smallest prime factor of 1356?

  Smallest prime factor of 1356 is 2.

• What is the prime factorization of 1356?

  Prime factorization of 1356 is 2 x 2 x 3 x 113.

• What are the factors of 1356?

  Factors of 1356 are 1 , 2 , 3 , 4 , 6 , 12 , 113 , 226 , 339 , 452 , 678 , 1356.

• Is 1356 a prime number or a composite number?

  1356 is a composite number.

• Is 1356 a prime number?

  false, 1356 is not a prime number.

• Which is the largest prime factors of 1356?

  The largest prime factor of 1356 is 113.

• What is the sum of all prime factors of 1356?

  Prime factors of 1356 are 2 x 2 x 3 x 113. Therefore, their sum is 120.

• What numbers are the prime factors of 1356?

  Prime factors of 1356 are 2 , 2 , 3 , 113.

• What is the sum of all odd prime factors of 1356?

  Prime factors of 1356 are 2 , 2 , 3 , 113, out of which 3 , 113 are odd numbers. So, the sum of odd prime factors of 1356 is 3 + 113 = 116.