Factors of 829

The numbers that divide 829 evenly are known as factors of 829.

A factor of 829 is a number that divides the number without remainder.

The factors of 829 are 1 and 829.

Negative factors of 829: -1 and -829.

Prime factors of 829: 829.

Prime factorization of 829: 829 (as 829 is a prime number).

The sum of factors of 829: 1 + 829 = 830

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
    
2. Finding factors using division method
    
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 829. Identifying the numbers which are multiplied to get the number 829 is the multiplication method.

Step 1: Multiply 829 by 1, 829 × 1 = 829.

There are no other integer pairs that multiply to 829 because 829 is a prime number. Therefore, the positive factor pairs of 829 are: (1, 829). For every positive factor, there is a negative factor.

Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following simple division methods -

Step 1: Divide 829 by 1, 829 ÷ 1 = 829.

Step 2: Check divisibility of 829 by other numbers, but none divide 829 evenly except 1 and 829 itself.

Therefore, the factors of 829 are: 1 and 829.

The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, if 829 were not prime, it would be broken down into prime factors till the remainder becomes 1. However, since 829 is a prime number, it does not have any prime factors other than itself. The prime factors of 829 are simply 829 itself. The prime factorization of 829 is: 829.

The factor tree is the graphical representation of breaking down any number into prime factors. However, since 829 is a prime number, it cannot be broken down further. The prime factorization of 829 is: 829.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 829: (1, 829).
• Negative factor pairs of 829: (-1, -829).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 829 are 1 and 829.

• Prime factors: The factors which are prime numbers. For example, 829 is a prime factor as it is prime itself.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 829 is (1, 829).

• Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 829 is a prime number.

• Divisibility: The ability of one number to be divided by another without a remainder. For example, 829 is divisible by 1 and 829.