Factors of 835

The numbers that divide 835 evenly are known as factors of 835.

A factor of 835 is a number that divides the number without remainder.

The factors of 835 are 1, 5, 167, and 835.

Negative factors of 835: -1, -5, -167, and -835.

Prime factors of 835: 5 and 167.

Prime factorization of 835: 5 × 167.

The sum of factors of 835: 1 + 5 + 167 + 835 = 1008

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 835. Identifying the numbers which are multiplied to get the number 835 is the multiplication method.

Step 1: Multiply 835 by 1, 835 × 1 = 835.

Step 2: Check for other numbers that give 835 after multiplying 5 × 167 = 835

Therefore, the positive factor pairs of 835 are: (1, 835) and (5, 167).

All these factor pairs result in 835.

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 in whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide 835 by 1, 835 ÷ 1 = 835.

Step 2: Continue dividing 835 by the numbers until the remainder becomes 0.

835 ÷ 1 = 835

835 ÷ 5 = 167

Therefore, the factors of 835 are: 1, 5, 167, and 835.

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

• Using prime factorization
   
• Using factor tree

Using Prime Factorization: In this process, prime factors of 835 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

835 ÷ 5 = 167

167 ÷ 167 = 1

The prime factors of 835 are 5 and 167.

The prime factorization of 835 is: 5 × 167.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 835 is divided by 5 to get 167.

Step 2: Now divide 167 by 167 to get 1. Here, 167 is a prime number that cannot be divided anymore. So, the prime factorization of 835 is: 5 × 167.

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 835: (1, 835) and (5, 167).

• Negative factor pairs of 835: (-1, -835) and (-5, -167).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 835 are 1, 5, 167, and 835.

• Prime factors: The factors which are prime numbers. For example, 5 and 167 are prime factors of 835.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 835 are (1, 835) and (5, 167).

• Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 835 is 5 × 167.

• Multiple: A number that can be divided by another number without a remainder. For example, 835 is a multiple of 5.