Factors of 205

Every number greater than 1 will have a minimum of 2 factors. 

Factors of 205: 1, 5, 41, 205

Negative factors of 205: -1, -5, -41, -205

Prime factorization of 205: 5 × 41 

Sum of factors 205: 1 + 5 + 41 + 205 = 252.
 

The methods mentioned below can be used to find the factors of 205. Use any factor-finding method that is easy for you. 

1. Multiplication Method 
2. Division Method 
3. Prime Factorization and Prime Factors 
4. Factor Tree 
    

• Find the pair of numbers which when multiplied gives 205.
• 205 is a composite number because it has more than 2 factors.

The factor pairs of 205 are;
Positive factor pairs — (1,205) (5,41) 
Negative factor pairs — (-1,-205) (-1,-41)

Steps: 

• Start dividing 205 by smaller numbers and check the remainder.
• Dividend = Divisor x Quotient + Remainder
• The factors of 205 are 1,5,41,205 and -1,-5,-41,-205.
   

• Prime factors of 205: 5,41

• The prime factorization of 205= 5×41

• Factors of 205 are 1, 5, 41, 205 and -1,-5,-41,-205.
   

Factor tree is a graphical representation of breaking down any number into prime factors.

In case of 205, 

Step 1: First, we write the number on top (in this case, 205). From there, it will be broken down into 2 parts.

Step 2: Fill in the factor pairs of 205 in separate steps. In this step, the number will be factorized into 5 and 41.

Step 3: From this we can find that the prime factors of 5 and 41. This is how the factor tree helps to visualize the factors easily to students.
 

Factor pairs are a combination of two numbers, a and b, whose product is equal to 205. So, over here, a and b are a factor pair of 205.

The factor pairs of 205 are

Positive factor pairs : (1,205) (41,5)
Negative factor pairs : (-1,-205) (-41,-5)

• Factors: The numbers which multiplied with each other to get the required numbers are called factors of that number. Example: Factors of 12 are:1 × 12 = 12, 2 × 6 = 12, 3 × 4 = 12. Here, 1, 2, 6, 3, 4 and 12 are the factors of 12.

• Greatest Common Factor (GCF): The greatest number that divides the given number exactly and is a common factor for the given number is called GCF. An example for GCF is: The GCF of 1500, 10, and 100 is 10. Because it is the greatest factor that is common for all three numbers.

• Prime number: Any number greater than 1 and has only 2 factors is called a prime number. Example: 811/1 = 811 and 811/811 = 1. We can see that 811 can be divided exactly by only 2 numbers. Those two numbers are 1 and 811.

• Divisor: Any number that divides another number exactly and leaves no remainder is called a divisor. When we divide 12 by 3, we get a quotient of 4. Here, the divisor is 3 and the dividend is 12.