Prime Factors of 1134

Steps to find Prime Factors of 1134 by Division Method

To find the primefactors of 1134 using the division method, follow these steps:

• Step 1. Start dividing 1134 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 1134, which is 2. Divide 1134 by 2 to obtain the quotient (567).
  1134 ÷ 2 = 567
• Step 3. Repeat step 1 with the obtained quotient (567).
  567 ÷ 3 = 189
  189 ÷ 3 = 63
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 1134 is, 1134 = 2 x 3 x 3 x 3 x 3 x 7.

Steps to find Prime Factors of 1134 by Factor Tree Method

We can follow the same procedure using the factor tree of 1134 as shown below:

So, the prime factorization of 1134 is, 1134 = 2 x 3 x 3 x 3 x 3 x 7.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 1134 are 2 x 3 x 3 x 3 x 3 x 7.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 1134 but not a prime factor of 1134.

Frequently Asked Questions

• Which is the smallest prime factor of 1134?

  Smallest prime factor of 1134 is 2.

• Is 1134 a perfect square?

  No 1134 is not a perfect square.

• What is the prime factorization of 1134?

  Prime factorization of 1134 is 2 x 3 x 3 x 3 x 3 x 7.

• What are the factors of 1134?

  Factors of 1134 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 18 , 21 , 27 , 42 , 54 , 63 , 81 , 126 , 162 , 189 , 378 , 567 , 1134.

• What is the product of all prime factors of 1134?

  Prime factors of 1134 are 2 x 3 x 3 x 3 x 3 x 7. Therefore, their product is 1134.

• What numbers are the prime factors of 1134?

  Prime factors of 1134 are 2 , 3 , 3 , 3 , 3 , 7.

• What is the sum of all odd prime factors of 1134?

  Prime factors of 1134 are 2 , 3 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 1134 is 3 + 3 + 3 + 3 + 7 = 19.

• Is there any even prime factor of 1134?

  Yes there is a even prime factor of 1134.

• What is the product of all odd prime factors of 1134?

  Prime factors of 1134 are 2 , 3 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 3 , 7 are odd numbers. So, the product of odd prime factors of 1134 is 3 x 3 x 3 x 3 x 7 = 567.