Factors of 845

The numbers that divide 845 evenly are known as factors of 845.

A factor of 845 is a number that divides the number without remainder.

The factors of 845 are 1, 5, 13, 65, 169, and 845.

Negative factors of 845: -1, -5, -13, -65, -169, and -845.

Prime factors of 845: 5 and 13.

Prime factorization of 845: 5 × 13 × 13.

The sum of factors of 845: 1 + 5 + 13 + 65 + 169 + 845 = 1098

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 845. Identifying the numbers which are multiplied to get the number 845 is the multiplication method.

Step 1: Multiply 845 by 1, 845 × 1 = 845.

Step 2: Check for other numbers that give 845 after multiplying

5 × 169 = 845

13 × 65 = 845

Therefore, the positive factor pairs of 845 are: (1, 845), (5, 169), (13, 65).

All these factor pairs result in 845.

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 845 by 1, 845 ÷ 1 = 845.

Step 2: Continue dividing 845 by the numbers until the remainder becomes 0.

845 ÷ 1 = 845

845 ÷ 5 = 169

845 ÷ 13 = 65

Therefore, the factors of 845 are: 1, 5, 13, 65, 169, 845.

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

845 ÷ 5 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

The prime factors of 845 are 5 and 13.

The prime factorization of 845 is: 5 × 13 × 13.

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

Step 1: Firstly, 845 is divided by 5 to get 169.

Step 2: Now divide 169 by 13 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 845 is: 5 × 13 × 13.

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 845: (1, 845), (5, 169), (13, 65).

• Negative factor pairs of 845: (-1, -845), (-5, -169), (-13, -65).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 845 are 1, 5, 13, 65, 169, and 845.

• Prime factors: The factors which are prime numbers. For example, 5 and 13 are prime factors of 845.

• 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 845 are (1, 845), (5, 169), etc.

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 845 is 5 × 13 × 13.

• Multiplication method: Finding factors by identifying pairs of numbers multiplied to give the original number. For example, using multiplication to find that 13 × 65 = 845.