# Factors of 316

Factors of 316 are 1, 2, 4, 79, 158, and 316

#### How to find factors of a number

 1.   Find factors of 316 using Division Method 2.   Find factors of 316 using Prime Factorization 3.   Find factors of 316 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 316

• Divide 316 by 1: 316 ÷ 1 : Remainder = 0
• Divide 316 by 2: 316 ÷ 2 : Remainder = 0
• Divide 316 by 4: 316 ÷ 4 : Remainder = 0
• Divide 316 by 79: 316 ÷ 79 : Remainder = 0
• Divide 316 by 158: 316 ÷ 158 : Remainder = 0
• Divide 316 by 316: 316 ÷ 316 : Remainder = 0

Hence, Factors of 316 are 1, 2, 4, 79, 158, and 316

#### 2. Steps to find factors of 316 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 316 using the division method, follow these steps:

• Step 1. Start dividing 316 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 316, which is 2. Divide 316 by 2 to obtain the quotient (158).
316 ÷ 2 = 158
• Step 3. Repeat step 1 with the obtained quotient (158).
158 ÷ 2 = 79
79 ÷ 79 = 1

So, the prime factorization of 316 is, 316 = 2 x 2 x 79.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 316 as shown below:

So, the prime factorization of 316 is, 316 = 2 x 2 x 79.

#### 3. Find factors of 316 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 316 would be the two numbers which, when multiplied, give 316 as the result.

The following table represents the calculation of factors of 316 in pairs:

Factor Pair Pair Factorization
1 and 316 1 x 316 = 316
2 and 158 2 x 158 = 316
4 and 79 4 x 79 = 316

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 316. They are called negative pair factors.

Hence, the negative pairs of 316 would be ( -1 , -316 ) , ( -2 , -158 ) and ( -4 , -79 ) .

#### 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

• Each number is a factor of itself. Eg. 316 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 316.
• Every number is a factor of zero (0), since 316 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 79, 158, 316 are exact divisors of 316.
• Factors of 316 are 1, 2, 4, 79, 158, 316. Each factor divides 316 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 79, 158, 316 are all less than or equal to 316.

• What are the prime factors of 316?

The factors of 316 are 1, 2, 4, 79, 158, 316.
Prime factors of 316 are 2, 2, 79.

• What is the sum of all factors of 316?

The sum of all factors of 316 is 560.

• What are the pair factors of 316?

Pair factors of 316 are (1,316), (2,158), (4,79).

• What two numbers make 316?

Two numbers that make 316 are 2 and 158.

• What are multiples of 316?

First five multiples of 316 are 632, 948, 1264, 1580.

• Is 316 a perfect square?

No 316 is not a perfect square.

• Which is greatest factor of 316?

The greatest factor of 316 is 158.

• How do you factors of 316?

Factors of 316 are 1, 2, 4, 79, 158, 316.

• What are five multiples of 316?

First five multiples of 316 are 632, 948, 1264, 1580, 1896.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 316?

Factors of 316 are 1, 2, 4, 79, 158, 316.
Even factors of 316 are 2, 4, 158, 316.
Hence, product of even factors of 316 is; 2 x 4 x 158 x 316 = 399424.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 316? Help her in writing all the factors.

Positive factors are 1, 2, 4, 79, 158, 316.
Negative factors are -1, -2, -4, -79, -158, -316.

How many factors are there for 316?

Factors of 316 are 1, 2, 4, 79, 158, 316.
So there are in total 6 factors.

Sammy is puzzled while calculating the prime factors of 316. Can you help him find them?

Factors of 316 are 1, 2, 4, 79, 158, 316.
Prime factors of 316 are 2, 2, 79

Joey wants to write all the prime factors of 316 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 316 are 2, 2, 79.
So in exponential form it can be written as 22 x 79.

What is prime factorization of 316?

Prime factorization of 316 is 2 x 2 x 79 = 22 x 79.

Can you help Rubel to find out the product of the even factors of 316?

Factors of 316 are 1, 2, 4, 79, 158, 316.
Even factors of 316 are 2, 4, 158, 316.
Hence, product of even factors of 316 is; 2 x 4 x 158 x 316 = 399424.