# Prime Factors of 10829

Prime Factors of 10829 are 7, 7, 13, and 17

#### How to find prime factors of a number

 1.   Prime Factorization of 10829 by Division Method 2.   Prime Factorization of 10829 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 10829 by Division Method

To find the primefactors of 10829 using the division method, follow these steps:

• Step 1. Start dividing 10829 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 10829, which is 7. Divide 10829 by 7 to obtain the quotient (1547).
10829 ÷ 7 = 1547
• Step 3. Repeat step 1 with the obtained quotient (1547).
1547 ÷ 7 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1

So, the prime factorization of 10829 is, 10829 = 7 x 7 x 13 x 17.

#### Steps to find Prime Factors of 10829 by Factor Tree Method

We can follow the same procedure using the factor tree of 10829 as shown below:

So, the prime factorization of 10829 is, 10829 = 7 x 7 x 13 x 17.

#### 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 10829 are 7 x 7 x 13 x 17.

#### 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 10829 but not a prime factor of 10829.

• Which is the smallest prime factor of 10829?

Smallest prime factor of 10829 is 7.

• Is 10829 a perfect square?

No 10829 is not a perfect square.

• What is the prime factorization of 10829?

Prime factorization of 10829 is 7 x 7 x 13 x 17.

• What are the factors of 10829?

Factors of 10829 are 1 , 7 , 13 , 17 , 49 , 91 , 119 , 221 , 637 , 833 , 1547 , 10829.

• What is prime factorization of 10829 in exponential form?

Prime factorization of 10829 in exponential form is 72 x 13 x 17.

• Is 10829 a prime number or a composite number?

10829 is a composite number.

• Is 10829 a prime number?

false, 10829 is not a prime number.

• How to find prime factorization of 10829 easily?

To find prime factorization of 10829 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 10829?

The largest prime factor of 10829 is 17.