# Factors of 317

Factors of 317 are 1 and 317

#### How to find factors of a number

 1.   Find factors of 317 using Division Method 2.   Find factors of 317 using Prime Factorization 3.   Find factors of 317 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 317

• Divide 317 by 1: 317 ÷ 1 : Remainder = 0
• Divide 317 by 317: 317 ÷ 317 : Remainder = 0

Hence, Factors of 317 are 1 and 317

#### 2. Steps to find factors of 317 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 317 using the division method, follow these steps:

• Step 1. Start dividing 317 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 317, which is 317. Divide 317 by 317 to obtain the quotient (1).
317 ÷ 317 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 317 is, 317 = 317.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 317 as shown below:

So, the prime factorization of 317 is, 317 = 317.

#### 3. Find factors of 317 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 317 would be the two numbers which, when multiplied, give 317 as the result.

The following table represents the calculation of factors of 317 in pairs:

Factor Pair Pair Factorization
1 and 317 1 x 317 = 317

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 317. They are called negative pair factors.

Hence, the negative pairs of 317 would be ( -1 , -317 ) , .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. 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, 317 are exact divisors of 317.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 317 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 317.

• What two numbers make 317?

Two numbers that make 317 are 317 and 1.

• What is prime factorization of 317?

Prime factorization of 317 is 317.

• Write some multiples of 317?

First five multiples of 317 are 634, 951, 1268, 1585.

• Which is the smallest prime factor of 317?

The smallest prime factor of 317 is 317.

• Is 317 a perfect square?

No 317 is not a perfect square.

• What is the sum of all factors of 317?

The sum of all factors of 317 is 318.

• What are factors of 317?

Factors of 317 are 1, 317.

• How do you find factors of a negative number? ( eg. -317 )?

Factors of -317 are -1, -317.

• Is 317 a whole number?

Yes 317 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 317. Help him in finding the mean of 317.

Factors of 317 are 1, 317.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 317 is 1 + 317 = 318.
Hence, the mean of factors of 317 is 318 ÷ 2 = 159.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 317? Help her in writing all the factors.

Positive factors are 1, 317.
Negative factors are -1, -317.

Joey wants to write all the prime factors of 317 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 317 are 317.
So in exponential form it can be written as 317.

Kevin has been asked to write 1 factor(s) of 317. Can you predict the answer?

1 factor(s) of 317 is 1.

Sammy is puzzled while calculating the prime factors of 317. Can you help him find them?

Factors of 317 are 1, 317.
Prime factors of 317 are 317

What is prime factorization of 317?

Prime factorization of 317 is 317 = 317.

Can you help Rubel to find out the product of the even factors of 317?

Factors of 317 are 1, 317.
Even factors of 317 are 0.
Hence, product of even factors of 317 is; 0 = 0.