# Factors of 202

Factors of 202 are 1, 2, 101, and 202

#### How to find factors of a number

 1.   Find factors of 202 using Division Method 2.   Find factors of 202 using Prime Factorization 3.   Find factors of 202 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 202

• Divide 202 by 1: 202 ÷ 1 : Remainder = 0
• Divide 202 by 2: 202 ÷ 2 : Remainder = 0
• Divide 202 by 101: 202 ÷ 101 : Remainder = 0
• Divide 202 by 202: 202 ÷ 202 : Remainder = 0

Hence, Factors of 202 are 1, 2, 101, and 202

#### 2. Steps to find factors of 202 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 202 using the division method, follow these steps:

• Step 1. Start dividing 202 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 202, which is 2. Divide 202 by 2 to obtain the quotient (101).
202 ÷ 2 = 101
• Step 3. Repeat step 1 with the obtained quotient (101).
101 ÷ 101 = 1

So, the prime factorization of 202 is, 202 = 2 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 202 as shown below:

So, the prime factorization of 202 is, 202 = 2 x 101.

#### 3. Find factors of 202 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 202 would be the two numbers which, when multiplied, give 202 as the result.

The following table represents the calculation of factors of 202 in pairs:

Factor Pair Pair Factorization
1 and 202 1 x 202 = 202
2 and 101 2 x 101 = 202

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 202. They are called negative pair factors.

Hence, the negative pairs of 202 would be ( -1 , -202 ) , ( -2 , -101 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 202 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 101, 202 are exact divisors of 202.
• 1 is a factor of every number. Eg. 1 is a factor of 202.
• Every number is a factor of zero (0), since 202 x 0 = 0.

• Is 202 a perfect square?

No 202 is not a perfect square.

• What are factors of 202?

Factors of 202 are 1, 2, 101, 202.

• Which is greatest factor of 202?

The greatest factor of 202 is 101.

• What is the sum of all factors of 202?

The sum of all factors of 202 is 306.

• What are multiples of 202?

First five multiples of 202 are 404, 606, 808, 1010.

• What is the greatest prime factors of 202?

The greatest prime factor of 202 is 101.

• What are six multiples of 202?

First five multiples of 202 are 404, 606, 808, 1010, 1212, 1414.

• What is prime factorization of 202?

Prime factorization of 202 is 2 x 101.

• Is 202 a whole number?

Yes 202 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 202? Help her in writing all the factors.

Positive factors are 1, 2, 101, 202.
Negative factors are -1, -2, -101, -202.

Can you help Sammy find out the product of the odd factors of 202?

Factors of 202 are 1, 2, 101, 202.
Odd factors of 202 are 1, 101.
Hence product of odd factors of 202 is; 1 x 101 = 101.

Joey wants to write all the prime factors of 202 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 202 are 2, 101.
So in exponential form it can be written as 2 x 101.

How many factors are there for 202?

Factors of 202 are 1, 2, 101, 202.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 202. Can you predict the answer?

3 factor(s) of 202 are 1, 2, 101.

Sammy is puzzled while calculating the prime factors of 202. Can you help him find them?

Factors of 202 are 1, 2, 101, 202.
Prime factors of 202 are 2, 101

What is prime factorization of 202?

Prime factorization of 202 is 2 x 101 = 2 x 101.