# Factors of 313

Factors of 313 are 1 and 313

#### How to find factors of a number

 1.   Find factors of 313 using Division Method 2.   Find factors of 313 using Prime Factorization 3.   Find factors of 313 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 313

• Divide 313 by 1: 313 ÷ 1 : Remainder = 0
• Divide 313 by 313: 313 ÷ 313 : Remainder = 0

Hence, Factors of 313 are 1 and 313

#### 2. Steps to find factors of 313 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 313 using the division method, follow these steps:

• Step 1. Start dividing 313 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 313, which is 313. Divide 313 by 313 to obtain the quotient (1).
313 ÷ 313 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 313 is, 313 = 313.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 313 as shown below:

So, the prime factorization of 313 is, 313 = 313.

#### 3. Find factors of 313 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 313 would be the two numbers which, when multiplied, give 313 as the result.

The following table represents the calculation of factors of 313 in pairs:

Factor Pair Pair Factorization
1 and 313 1 x 313 = 313

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 313. They are called negative pair factors.

Hence, the negative pairs of 313 would be ( -1 , -313 ) , .

#### 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, 313 are exact divisors of 313.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 313 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 313.

• Which is the smallest prime factor of 313?

The smallest prime factor of 313 is 313.

• Is 313 a whole number?

Yes 313 is a whole number.

• What are the prime factors of 313?

The factors of 313 are 1, 313.
Prime factors of 313 are 313.

• What two numbers make 313?

Two numbers that make 313 are 313 and 1.

• What are multiples of 313?

First five multiples of 313 are 626, 939, 1252, 1565.

• What is the sum of all factors of 313?

The sum of all factors of 313 is 314.

• What are five multiples of 313?

First five multiples of 313 are 626, 939, 1252, 1565, 1878.

• Is 313 a perfect square?

No 313 is not a perfect square.

• What is the greatest prime factors of 313?

The greatest prime factor of 313 is 313.

#### Examples of Factors

How many factors are there for 313?

Factors of 313 are 1, 313.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 313. Can you predict the answer?

1 factor(s) of 313 is 1.

Sammy is puzzled while calculating the prime factors of 313. Can you help him find them?

Factors of 313 are 1, 313.
Prime factors of 313 are 313

What is prime factorization of 313?

Prime factorization of 313 is 313 = 313.

Ariel has been assigned the task to find the product of all the prime factors of 313. Can you help her?

Prime factors of 313 are 313.
Hence, the product of prime factors of 313.

Can you help Rubel to find out the product of the even factors of 313?

Factors of 313 are 1, 313.
Even factors of 313 are 0.
Hence, product of even factors of 313 is; 0 = 0.

Joy wants to calculate mean of all the factors of 313. Help him in finding the mean of 313.

Factors of 313 are 1, 313.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 313 is 1 + 313 = 314.
Hence, the mean of factors of 313 is 314 ÷ 2 = 157.00.