Prime Factors of 1134

Prime Factors of 1134 are 2, 3, 3, 3, 3, and 7

How to find prime factors of a number

 1.   Prime Factorization of 1134 by Division Method 2.   Prime Factorization of 1134 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

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.

• 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.

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