# Factors of 1201

Factors of 1201 are 1 and 1201

#### How to find factors of a number

 1.   Find factors of 1201 using Division Method 2.   Find factors of 1201 using Prime Factorization 3.   Find factors of 1201 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1201

• Divide 1201 by 1: 1201 ÷ 1 : Remainder = 0
• Divide 1201 by 1201: 1201 ÷ 1201 : Remainder = 0

Hence, Factors of 1201 are 1 and 1201

#### 2. Steps to find factors of 1201 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 1201 using the division method, follow these steps:

• Step 1. Start dividing 1201 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 1201, which is 1201. Divide 1201 by 1201 to obtain the quotient (1).
1201 ÷ 1201 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1201 is, 1201 = 1201.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1201 as shown below:

So, the prime factorization of 1201 is, 1201 = 1201.

#### 3. Find factors of 1201 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 1201 would be the two numbers which, when multiplied, give 1201 as the result.

The following table represents the calculation of factors of 1201 in pairs:

Factor Pair Pair Factorization
1 and 1201 1 x 1201 = 1201

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 1201. They are called negative pair factors.

Hence, the negative pairs of 1201 would be ( -1 , -1201 ) , .

#### 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, 1201 are exact divisors of 1201.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1201 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1201.

• Is 1201 a perfect square?

No 1201 is not a perfect square.

• What are factors of 1201?

Factors of 1201 are 1, 1201.

• Which is greatest factor of 1201?

The greatest factor of 1201 is 1.

• What is the sum of all factors of 1201?

The sum of all factors of 1201 is 1202.

• What are multiples of 1201?

First five multiples of 1201 are 2402, 3603, 4804, 6005.

• What is the greatest prime factors of 1201?

The greatest prime factor of 1201 is 1201.

• What are six multiples of 1201?

First five multiples of 1201 are 2402, 3603, 4804, 6005, 7206, 8407.

• What is prime factorization of 1201?

Prime factorization of 1201 is 1201.

• Is 1201 a whole number?

Yes 1201 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1201? Help her in writing all the factors.

Positive factors are 1, 1201.
Negative factors are -1, -1201.

Can you help Sammy find out the product of the odd factors of 1201?

Factors of 1201 are 1, 1201.
Odd factors of 1201 are 1, 1201.
Hence product of odd factors of 1201 is; 1 x 1201 = 1201.

Joey wants to write all the prime factors of 1201 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1201 are 1201.
So in exponential form it can be written as 1201.

How many factors are there for 1201?

Factors of 1201 are 1, 1201.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 1201. Can you predict the answer?

1 factor(s) of 1201 is 1.

Sammy is puzzled while calculating the prime factors of 1201. Can you help him find them?

Factors of 1201 are 1, 1201.
Prime factors of 1201 are 1201

What is prime factorization of 1201?

Prime factorization of 1201 is 1201 = 1201.