Factors of 847

The numbers that divide 847 evenly are known as factors of 847. A factor of 847 is a number that divides the number without remainder. The factors of 847 are 1, 7, 121, and 847.

Negative factors of 847: -1, -7, -121, and -847.

Prime factors of 847: 7 and 121.

Prime factorization of 847: 7 × 121.

The sum of factors of 847: 1 + 7 + 121 + 847 = 976

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 847. Identifying the numbers which are multiplied to get the number 847 is the multiplication method.

Step 1: Multiply 847 by 1, 847 × 1 = 847.

Step 2: Check for other numbers that give 847 after multiplying 7 × 121 = 847

Therefore, the positive factor pairs of 847 are: (1, 847) and (7, 121). All these factor pairs result in 847. 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 a simple division method -

Step 1: Divide 847 by 1, 847 ÷ 1 = 847.

Step 2: Continue dividing 847 by the numbers until the remainder becomes 0.

847 ÷ 1 = 847

847 ÷ 7 = 121

Therefore, the factors of 847 are: 1, 7, 121, 847.

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, prime factors of 847 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

847 ÷ 7 = 121

121 is a perfect square: 11 × 11

The prime factors of 847 are 7 and 11.

The prime factorization of 847 is: 7 × 11 × 11.

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

Step 1: Firstly, 847 is divided by 7 to get 121.

Step 2: Now divide 121 by 11 to get 11. Here, 11 is a prime number, that cannot be divided anymore. So, the prime factorization of 847 is: 7 × 11 × 11.

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 847: (1, 847) and (7, 121).

• Negative factor pairs of 847: (-1, -847) and (-7, -121).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 847 are 1, 7, 121, and 847.

• Prime factors: The factors which are prime numbers. For example, 7 and 11 are prime factors of 847.

• 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 847 are (1, 847) and (7, 121).

• Multiplication method: Finding factors by identifying pairs of numbers that multiply to give the original number.

• Division method: Finding factors by dividing the number by whole numbers to identify divisors.