Factors of 202

The numbers that divide 202 evenly are known as factors of 202.

A factor of 202 is a number that divides the number without a remainder.The factors of 202 are 1, 2, 101, and 202.

Negative factors of 202: -1, -2, -101, and -202.

Prime factors of 202: 2 and 101.

Prime factorization of 202: 2 × 101.

The sum of factors of 202: 1 + 2 + 101 + 202 = 306

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 202. Identifying the numbers that are multiplied to get the number 202 is the multiplication method.

Step 1: Multiply 202 by 1, 202 × 1 = 202.

Step 2: Check for other numbers that give 202 after multiplying   

2 × 101 = 202

Therefore, the positive factor pairs of 202 are (1, 202) and (2, 101).

All these factor pairs result in 202.

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 202 by 1, 202 ÷ 1 = 202.

Step 2: Continue dividing 202 by the numbers until the remainder becomes 0.

202 ÷ 1 = 202

202 ÷ 2 = 101

Therefore, the factors of 202 are: 1, 2, 101, 202.

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

202 ÷ 2 = 101

101 ÷ 101 = 1

The prime factors of 202 are 2 and 101.

The prime factorization of 202 is: 2 × 101.

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

Step 1: Firstly, 202 is divided by 2 to get 101.

Step 2: 101 is a prime number, so it cannot be divided further.

So, the prime factorization of 202 is: 2 × 101.

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 202: (1, 202) and (2, 101).
• Negative factor pairs of 202: (-1, -202) and (-2, -101).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 202 are 1, 2, 101, and 202.
  
   
• Prime factors: The factors which are prime numbers. For example, 2 and 101 are prime factors of 202.
  
   
• 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 202 are (1, 202) and (2, 101).
  
   
• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 202 is 2 × 101.
  
   
• Multiple: A number that can be divided by another number without a remainder. For example, 202 is a multiple of 2.