# Factors of 1241

Factors of 1241 are 1, 17, 73, and 1241

#### How to find factors of a number

 1.   Find factors of 1241 using Division Method 2.   Find factors of 1241 using Prime Factorization 3.   Find factors of 1241 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1241

• Divide 1241 by 1: 1241 ÷ 1 : Remainder = 0
• Divide 1241 by 17: 1241 ÷ 17 : Remainder = 0
• Divide 1241 by 73: 1241 ÷ 73 : Remainder = 0
• Divide 1241 by 1241: 1241 ÷ 1241 : Remainder = 0

Hence, Factors of 1241 are 1, 17, 73, and 1241

#### 2. Steps to find factors of 1241 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 1241 using the division method, follow these steps:

• Step 1. Start dividing 1241 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 1241, which is 17. Divide 1241 by 17 to obtain the quotient (73).
1241 ÷ 17 = 73
• Step 3. Repeat step 1 with the obtained quotient (73).
73 ÷ 73 = 1

So, the prime factorization of 1241 is, 1241 = 17 x 73.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1241 as shown below:

So, the prime factorization of 1241 is, 1241 = 17 x 73.

#### 3. Find factors of 1241 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 1241 would be the two numbers which, when multiplied, give 1241 as the result.

The following table represents the calculation of factors of 1241 in pairs:

Factor Pair Pair Factorization
1 and 1241 1 x 1241 = 1241
17 and 73 17 x 73 = 1241

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 1241. They are called negative pair factors.

Hence, the negative pairs of 1241 would be ( -1 , -1241 ) , ( -17 , -73 ) .

#### 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, 17, 73, 1241 are exact divisors of 1241.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1241 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1241.

• What is prime factorization of 1241?

Prime factorization of 1241 is 17 x 73.

• How do you find factors of a negative number? ( eg. -1241 )?

Factors of -1241 are -1, -17, -73, -1241.

• What are the prime factors of 1241?

The factors of 1241 are 1, 17, 73, 1241.
Prime factors of 1241 are 17, 73.

• What are pair factors of 1241?

The pair factors of 1241 are (1,1241), (17,73).

• What is the greatest prime factors of 1241?

The greatest prime factor of 1241 is 73.

• What are six multiples of 1241?

First five multiples of 1241 are 2482, 3723, 4964, 6205, 7446, 8687.

• What are factors of 1241?

Factors of 1241 are 1, 17, 73, 1241.

• Which is the smallest prime factor of 1241?

Smallest prime factor of 1241 is 17.

• Is 1241 a whole number?

Yes 1241 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 1241. Can you predict the answer?

3 factor(s) of 1241 are 1, 17, 73.

Sammy is puzzled while calculating the prime factors of 1241. Can you help him find them?

Factors of 1241 are 1, 17, 73, 1241.
Prime factors of 1241 are 17, 73

What is prime factorization of 1241?

Prime factorization of 1241 is 17 x 73 = 17 x 73.

Ariel has been assigned the task to find the product of all the prime factors of 1241. Can you help her?

Prime factors of 1241 are 17, 73.
Hence, the product of prime factors of 1241.

Can you help Rubel to find out the product of the even factors of 1241?

Factors of 1241 are 1, 17, 73, 1241.
Even factors of 1241 are 0.
Hence, product of even factors of 1241 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1241. Help him in finding the mean of 1241.

Factors of 1241 are 1, 17, 73, 1241.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1241 is 1 + 17 + 73 + 1241 = 1332.
Hence, the mean of factors of 1241 is 1332 ÷ 4 = 333.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1241? Help her in writing all the factors.

Positive factors are 1, 17, 73, 1241.
Negative factors are -1, -17, -73, -1241.