Prime Factors of 829

Steps to find Prime Factors of 829 by Division Method

To find the primefactors of 829 using the division method, follow these steps:

• Step 1. Start dividing 829 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 829, which is 829. Divide 829 by 829 to obtain the quotient (1).
  829 ÷ 829 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 829 is, 829 = 829.

Steps to find Prime Factors of 829 by Factor Tree Method

We can follow the same procedure using the factor tree of 829 as shown below:

So, the prime factorization of 829 is, 829 = 829.

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 829 are 829.

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 829 but not a prime factor of 829.

Frequently Asked Questions

• Which is the smallest prime factor of 829?

  Smallest prime factor of 829 is 829.

• Is 829 a perfect square?

  No 829 is not a perfect square.

• What is the prime factorization of 829?

  Prime factorization of 829 is 829.

• What are the factors of 829?

  Factors of 829 are 1 , 829.

• What is prime factorization of 829 in exponential form?

  Prime factorization of 829 in exponential form is 829.

• Is 829 a prime number or a composite number?

  829 is a prime number.

• Is 829 a prime number?

  true, 829 is a prime number.

• How to find prime factorization of 829 easily?

  To find prime factorization of 829 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 829?

  The largest prime factor of 829 is 829.