Factors of 842

The numbers that divide 842 evenly are known as factors of 842.

A factor of 842 is a number that divides the number without remainder.

The factors of 842 are 1, 2, 421, and 842.

Negative factors of 842: -1, -2, -421, and -842.

Prime factors of 842: 2 and 421.

Prime factorization of 842: 2 × 421.

The sum of factors of 842: 1 + 2 + 421 + 842 = 1266

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 842. Identifying the numbers which are multiplied to get the number 842 is the multiplication method.

Step 1: Multiply 842 by 1, 842 × 1 = 842.

Step 2: Check for other numbers that give 842 after multiplying     

2 × 421 = 842

Therefore, the positive factor pairs of 842 are: (1, 842), (2, 421).

All these factor pairs result in 842.

For every positive factor, there is a negative factor.

Dividing the given numbers with the 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 the simple division method

Step 1: Divide 842 by 1, 842 ÷ 1 = 842.

Step 2: Continue dividing 842 by the numbers until the remainder becomes 0.

842 ÷ 1 = 842

842 ÷ 2 = 421

Therefore, the factors of 842 are: 1, 2, 421, 842.

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 842 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

842 ÷ 2 = 421

421 ÷ 421 = 1

The prime factors of 842 are 2 and 421.

The prime factorization of 842 is: 2 × 421.

The factor tree is a graphical representation of breaking down any number into prime factors. The following steps show

Step 1: Firstly, 842 is divided by 2 to get 421.

Step 2: 421 is a prime number and cannot be divided further. So, the prime factorization of 842 is: 2 × 421.

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 842: (1, 842), (2, 421).

• Negative factor pairs of 842: (-1, -842), (-2, -421).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 842 are 1, 2, 421, and 842.

• Prime factors: The factors which are prime numbers. For example, 2 and 421 are prime factors of 842.

• 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 842 are (1, 842) and (2, 421).

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 842 is 2 × 421.

• Multiple: A number is a multiple of another if it can be divided by that number without a remainder. For example, 842 is a multiple of 2.