Prime Factors of 1092

Steps to find Prime Factors of 1092 by Division Method

To find the primefactors of 1092 using the division method, follow these steps:

• Step 1. Start dividing 1092 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 1092, which is 2. Divide 1092 by 2 to obtain the quotient (546).
  1092 ÷ 2 = 546
• Step 3. Repeat step 1 with the obtained quotient (546).
  546 ÷ 2 = 273
  273 ÷ 3 = 91
  91 ÷ 7 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1092 is, 1092 = 2 x 2 x 3 x 7 x 13.

Steps to find Prime Factors of 1092 by Factor Tree Method

We can follow the same procedure using the factor tree of 1092 as shown below:

So, the prime factorization of 1092 is, 1092 = 2 x 2 x 3 x 7 x 13.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 1092 are 2 x 2 x 3 x 7 x 13.

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 1092 but not a prime factor of 1092.

Frequently Asked Questions

• Which is the smallest prime factor of 1092?

  Smallest prime factor of 1092 is 2.

• What is the prime factorization of 1092?

  Prime factorization of 1092 is 2 x 2 x 3 x 7 x 13.

• What are the factors of 1092?

  Factors of 1092 are 1 , 2 , 3 , 4 , 6 , 7 , 12 , 13 , 14 , 21 , 26 , 28 , 39 , 42 , 52 , 78 , 84 , 91 , 156 , 182 , 273 , 364 , 546 , 1092.

• Is 1092 a prime number or a composite number?

  1092 is a composite number.

• Is 1092 a prime number?

  false, 1092 is not a prime number.

• Which is the largest prime factors of 1092?

  The largest prime factor of 1092 is 13.

• What is the sum of all prime factors of 1092?

  Prime factors of 1092 are 2 x 2 x 3 x 7 x 13. Therefore, their sum is 27.

• What numbers are the prime factors of 1092?

  Prime factors of 1092 are 2 , 2 , 3 , 7 , 13.

• What is the sum of all odd prime factors of 1092?

  Prime factors of 1092 are 2 , 2 , 3 , 7 , 13, out of which 3 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 1092 is 3 + 7 + 13 = 23.