Prime Factors of 529

Steps to find Prime Factors of 529 by Division Method

To find the primefactors of 529 using the division method, follow these steps:

• Step 1. Start dividing 529 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 529, which is 23. Divide 529 by 23 to obtain the quotient (23).
  529 ÷ 23 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
  23 ÷ 23 = 1

So, the prime factorization of 529 is, 529 = 23 x 23.

Steps to find Prime Factors of 529 by Factor Tree Method

We can follow the same procedure using the factor tree of 529 as shown below:

So, the prime factorization of 529 is, 529 = 23 x 23.

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 529 are 23 x 23.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 529 but not a prime factor of 529.

Frequently Asked Questions

• Which is the smallest prime factor of 529?

  Smallest prime factor of 529 is 23.

• What is the prime factorization of 529?

  Prime factorization of 529 is 23 x 23.

• What is prime factorization of 529 in exponential form?

  Prime factorization of 529 in exponential form is 23².

• Is 529 a prime number or a composite number?

  529 is a composite number.

• Is 529 a prime number?

  false, 529 is not a prime number.

• How to find prime factorization of 529 easily?

  To find prime factorization of 529 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 529?

  The largest prime factor of 529 is 23.

• What is the product of all prime factors of 529?

  Prime factors of 529 are 23 x 23. Therefore, their product is 529.

• What is the sum of all odd prime factors of 529?

  Prime factors of 529 are 23 , 23, out of which 23 , 23 are odd numbers. So, the sum of odd prime factors of 529 is 23 + 23 = 46.