Steps to find Prime Factors of 1056 by Division Method

To find the primefactors of 1056 using the division method, follow these steps:

  • Step 1. Start dividing 1056 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 1056, which is 2. Divide 1056 by 2 to obtain the quotient (528).
    1056 ÷ 2 = 528
  • Step 3. Repeat step 1 with the obtained quotient (528).
    528 ÷ 2 = 264
    264 ÷ 2 = 132
    132 ÷ 2 = 66
    66 ÷ 2 = 33
    33 ÷ 3 = 11
    11 ÷ 11 = 1

So, the prime factorization of 1056 is, 1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11.

Steps to find Prime Factors of 1056 by Factor Tree Method

We can follow the same procedure using the factor tree of 1056 as shown below:

So, the prime factorization of 1056 is, 1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11.

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 1056 are 2 x 2 x 2 x 2 x 2 x 3 x 11.

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 1056 but not a prime factor of 1056.

Frequently Asked Questions

  • Which is the smallest prime factor of 1056?

    Smallest prime factor of 1056 is 2.

  • Is 1056 a perfect square?

    No 1056 is not a perfect square.

  • What is the prime factorization of 1056?

    Prime factorization of 1056 is 2 x 2 x 2 x 2 x 2 x 3 x 11.

  • What is prime factorization of 1056 in exponential form?

    Prime factorization of 1056 in exponential form is 25 x 3 x 11.

  • Is 1056 a prime number or a composite number?

    1056 is a composite number.

  • Which is the largest prime factors of 1056?

    The largest prime factor of 1056 is 11.

  • What is the product of all prime factors of 1056?

    Prime factors of 1056 are 2 x 2 x 2 x 2 x 2 x 3 x 11. Therefore, their product is 1056.

  • What numbers are the prime factors of 1056?

    Prime factors of 1056 are 2 , 2 , 2 , 2 , 2 , 3 , 11.

  • Is there any even prime factor of 1056?

    Yes there is a even prime factor of 1056.