Prime Factors of 534

Steps to find Prime Factors of 534 by Division Method

To find the primefactors of 534 using the division method, follow these steps:

• Step 1. Start dividing 534 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 534, which is 2. Divide 534 by 2 to obtain the quotient (267).
  534 ÷ 2 = 267
• Step 3. Repeat step 1 with the obtained quotient (267).
  267 ÷ 3 = 89
  89 ÷ 89 = 1

So, the prime factorization of 534 is, 534 = 2 x 3 x 89.

Steps to find Prime Factors of 534 by Factor Tree Method

We can follow the same procedure using the factor tree of 534 as shown below:

So, the prime factorization of 534 is, 534 = 2 x 3 x 89.

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 534 are 2 x 3 x 89.

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 534 but not a prime factor of 534.

Frequently Asked Questions

• Which is the smallest prime factor of 534?

  Smallest prime factor of 534 is 2.

• Is 534 a perfect square?

  No 534 is not a perfect square.

• What is the prime factorization of 534?

  Prime factorization of 534 is 2 x 3 x 89.

• What are the factors of 534?

  Factors of 534 are 1 , 2 , 3 , 6 , 89 , 178 , 267 , 534.

• What is the product of all prime factors of 534?

  Prime factors of 534 are 2 x 3 x 89. Therefore, their product is 534.

• What numbers are the prime factors of 534?

  Prime factors of 534 are 2 , 3 , 89.

• What is the sum of all odd prime factors of 534?

  Prime factors of 534 are 2 , 3 , 89, out of which 3 , 89 are odd numbers. So, the sum of odd prime factors of 534 is 3 + 89 = 92.

• Is there any even prime factor of 534?

  Yes there is a even prime factor of 534.

• What is the product of all odd prime factors of 534?

  Prime factors of 534 are 2 , 3 , 89, out of which 3 , 89 are odd numbers. So, the product of odd prime factors of 534 is 3 x 89 = 267.