# Factors of 201

Factors of 201 are 1, 3, 67, and 201

#### How to find factors of a number

 1.   Find factors of 201 using Division Method 2.   Find factors of 201 using Prime Factorization 3.   Find factors of 201 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 201

• Divide 201 by 1: 201 ÷ 1 : Remainder = 0
• Divide 201 by 3: 201 ÷ 3 : Remainder = 0
• Divide 201 by 67: 201 ÷ 67 : Remainder = 0
• Divide 201 by 201: 201 ÷ 201 : Remainder = 0

Hence, Factors of 201 are 1, 3, 67, and 201

#### 2. Steps to find factors of 201 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 201 using the division method, follow these steps:

• Step 1. Start dividing 201 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 201, which is 3. Divide 201 by 3 to obtain the quotient (67).
201 ÷ 3 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
67 ÷ 67 = 1

So, the prime factorization of 201 is, 201 = 3 x 67.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 201 as shown below:

So, the prime factorization of 201 is, 201 = 3 x 67.

#### 3. Find factors of 201 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 201 would be the two numbers which, when multiplied, give 201 as the result.

The following table represents the calculation of factors of 201 in pairs:

Factor Pair Pair Factorization
1 and 201 1 x 201 = 201
3 and 67 3 x 67 = 201

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 201. They are called negative pair factors.

Hence, the negative pairs of 201 would be ( -1 , -201 ) , ( -3 , -67 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 67, 201 are exact divisors of 201.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 201 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 201.

• What are the prime factors of 201?

The factors of 201 are 1, 3, 67, 201.
Prime factors of 201 are 3, 67.

• What two numbers make 201?

Two numbers that make 201 are 3 and 67.

• What is the greatest prime factors of 201?

The greatest prime factor of 201 is 67.

• What are factors of 201?

Factors of 201 are 1, 3, 67, 201.

• How do you find factors of a negative number? ( eg. -201 )?

Factors of -201 are -1, -3, -67, -201.

• What are five multiples of 201?

First five multiples of 201 are 402, 603, 804, 1005, 1206.

• Write some multiples of 201?

First five multiples of 201 are 402, 603, 804, 1005.

• Is 201 a perfect square?

No 201 is not a perfect square.

• What two numbers make 201?

Two numbers that make 201 are 3 and 67.

#### Examples of Factors

What is prime factorization of 201?

Prime factorization of 201 is 3 x 67 = 3 x 67.

Sammy is puzzled while calculating the prime factors of 201. Can you help him find them?

Factors of 201 are 1, 3, 67, 201.
Prime factors of 201 are 3, 67

Kevin has been asked to write 3 factor(s) of 201. Can you predict the answer?

3 factor(s) of 201 are 1, 3, 67.

Joey wants to write all the prime factors of 201 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 201 are 3, 67.
So in exponential form it can be written as 3 x 67.

How many factors are there for 201?

Factors of 201 are 1, 3, 67, 201.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 201? Help her in writing all the factors.

Positive factors are 1, 3, 67, 201.
Negative factors are -1, -3, -67, -201.

Can you help Rubel to find out the product of the even factors of 201?

Factors of 201 are 1, 3, 67, 201.
Even factors of 201 are 0.
Hence, product of even factors of 201 is; 0 = 0.