Factors of 843

The numbers that divide 843 evenly are known as factors of 843.

A factor of 843 is a number that divides the number without a remainder.

The factors of 843 are 1, 3, 281, and 843.

Negative factors of 843: -1, -3, -281, and -843.

Prime factors of 843: 3 and 281.

Prime factorization of 843: 3 × 281.

The sum of factors of 843: 1 + 3 + 281 + 843 = 1128

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

1. Finding factors using multiplication
    
2. Finding factors using the 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 843. Identifying the numbers which are multiplied to get the number 843 is the multiplication method.

Step 1: Multiply 843 by 1, 843 × 1 = 843.

Step 2: Check for other numbers that give 843 after multiplying: 3 × 281 = 843

Therefore, the positive factor pairs of 843 are: (1, 843) and (3, 281).

All these factor pairs result in 843.

For every positive factor, there is a negative factor.

Dividing the given numbers 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 a simple division method

Step 1: Divide 843 by 1, 843 ÷ 1 = 843.

Step 2: Continue dividing 843 by the numbers until the remainder becomes 0.

843 ÷ 1 = 843

843 ÷ 3 = 281

Therefore, the factors of 843 are: 1, 3, 281, 843.

The factors can be found by dividing them 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 843 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

843 ÷ 3 = 281

281 is a prime number.

The prime factors of 843 are 3 and 281.

The prime factorization of 843 is: 3 × 281.

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

Step 1: Firstly, 843 is divided by 3 to get 281.

Step 2: 281 is a prime number and cannot be divided further. So, the prime factorization of 843 is: 3 × 281.

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 843: (1, 843) and (3, 281).

• Negative factor pairs of 843: (-1, -843) and (-3, -281).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 843 are 1, 3, 281, and 843.

• Prime factors: The factors which are prime numbers. For example, 3 and 281 are prime factors of 843.

• 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 843 are (1, 843) and (3, 281).

• Prime factorization: The process of breaking down a number into its prime factors, e.g., 843 = 3 × 281.

• Multiples: Numbers that can be divided by a given number without a remainder. For example, 843 is a multiple of 3.