# Factors of 1313

Factors of 1313 are 1, 13, 101, and 1313

#### How to find factors of a number

 1.   Find factors of 1313 using Division Method 2.   Find factors of 1313 using Prime Factorization 3.   Find factors of 1313 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1313

• Divide 1313 by 1: 1313 ÷ 1 : Remainder = 0
• Divide 1313 by 13: 1313 ÷ 13 : Remainder = 0
• Divide 1313 by 101: 1313 ÷ 101 : Remainder = 0
• Divide 1313 by 1313: 1313 ÷ 1313 : Remainder = 0

Hence, Factors of 1313 are 1, 13, 101, and 1313

#### 2. Steps to find factors of 1313 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 1313 using the division method, follow these steps:

• Step 1. Start dividing 1313 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 1313, which is 13. Divide 1313 by 13 to obtain the quotient (101).
1313 ÷ 13 = 101
• Step 3. Repeat step 1 with the obtained quotient (101).
101 ÷ 101 = 1

So, the prime factorization of 1313 is, 1313 = 13 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1313 as shown below:

So, the prime factorization of 1313 is, 1313 = 13 x 101.

#### 3. Find factors of 1313 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 1313 would be the two numbers which, when multiplied, give 1313 as the result.

The following table represents the calculation of factors of 1313 in pairs:

Factor Pair Pair Factorization
1 and 1313 1 x 1313 = 1313
13 and 101 13 x 101 = 1313

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 1313. They are called negative pair factors.

Hence, the negative pairs of 1313 would be ( -1 , -1313 ) , ( -13 , -101 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 13, 101, 1313 are exact divisors of 1313.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1313 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1313.

• What is prime factorization of 1313?

Prime factorization of 1313 is 13 x 101.

• How do you find factors of a negative number? ( eg. -1313 )?

Factors of -1313 are -1, -13, -101, -1313.

• What are the prime factors of 1313?

The factors of 1313 are 1, 13, 101, 1313.
Prime factors of 1313 are 13, 101.

• What are pair factors of 1313?

The pair factors of 1313 are (1,1313), (13,101).

• What is the greatest prime factors of 1313?

The greatest prime factor of 1313 is 101.

• What are six multiples of 1313?

First five multiples of 1313 are 2626, 3939, 5252, 6565, 7878, 9191.

• What are factors of 1313?

Factors of 1313 are 1, 13, 101, 1313.

• Which is the smallest prime factor of 1313?

Smallest prime factor of 1313 is 13.

• Is 1313 a whole number?

Yes 1313 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 1313. Can you predict the answer?

3 factor(s) of 1313 are 1, 13, 101.

Sammy is puzzled while calculating the prime factors of 1313. Can you help him find them?

Factors of 1313 are 1, 13, 101, 1313.
Prime factors of 1313 are 13, 101

What is prime factorization of 1313?

Prime factorization of 1313 is 13 x 101 = 13 x 101.

Ariel has been assigned the task to find the product of all the prime factors of 1313. Can you help her?

Prime factors of 1313 are 13, 101.
Hence, the product of prime factors of 1313.

Can you help Rubel to find out the product of the even factors of 1313?

Factors of 1313 are 1, 13, 101, 1313.
Even factors of 1313 are 0.
Hence, product of even factors of 1313 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1313. Help him in finding the mean of 1313.

Factors of 1313 are 1, 13, 101, 1313.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1313 is 1 + 13 + 101 + 1313 = 1428.
Hence, the mean of factors of 1313 is 1428 ÷ 4 = 357.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1313? Help her in writing all the factors.

Positive factors are 1, 13, 101, 1313.
Negative factors are -1, -13, -101, -1313.