Factors of 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:

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.

Frequently Asked Questions

• 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