Factors of 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:

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.

Frequently Asked Questions

• 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