# Factors of 318

Factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318

#### How to find factors of a number

 1.   Find factors of 318 using Division Method 2.   Find factors of 318 using Prime Factorization 3.   Find factors of 318 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 318

• Divide 318 by 1: 318 ÷ 1 : Remainder = 0
• Divide 318 by 2: 318 ÷ 2 : Remainder = 0
• Divide 318 by 3: 318 ÷ 3 : Remainder = 0
• Divide 318 by 6: 318 ÷ 6 : Remainder = 0
• Divide 318 by 53: 318 ÷ 53 : Remainder = 0
• Divide 318 by 106: 318 ÷ 106 : Remainder = 0
• Divide 318 by 159: 318 ÷ 159 : Remainder = 0
• Divide 318 by 318: 318 ÷ 318 : Remainder = 0

Hence, Factors of 318 are 1, 2, 3, 6, 53, 106, 159, and 318

#### 2. Steps to find factors of 318 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 318 using the division method, follow these steps:

• Step 1. Start dividing 318 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 318, which is 2. Divide 318 by 2 to obtain the quotient (159).
318 ÷ 2 = 159
• Step 3. Repeat step 1 with the obtained quotient (159).
159 ÷ 3 = 53
53 ÷ 53 = 1

So, the prime factorization of 318 is, 318 = 2 x 3 x 53.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 318 as shown below:

So, the prime factorization of 318 is, 318 = 2 x 3 x 53.

#### 3. Find factors of 318 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 318 would be the two numbers which, when multiplied, give 318 as the result.

The following table represents the calculation of factors of 318 in pairs:

Factor Pair Pair Factorization
1 and 318 1 x 318 = 318
2 and 159 2 x 159 = 318
3 and 106 3 x 106 = 318
6 and 53 6 x 53 = 318

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 318. They are called negative pair factors.

Hence, the negative pairs of 318 would be ( -1 , -318 ) , ( -2 , -159 ) , ( -3 , -106 ) and ( -6 , -53 ) .

#### 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

• Each number is a factor of itself. Eg. 318 is a factor of itself.
• 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, 3, 6, 53, 106, 159, 318 are exact divisors of 318.
• 1 is a factor of every number. Eg. 1 is a factor of 318.
• Every number is a factor of zero (0), since 318 x 0 = 0.

• What are the prime factors of 318?

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.
Prime factors of 318 are 2, 3, 53.

• What two numbers make 318?

Two numbers that make 318 are 2 and 159.

• What is the greatest prime factors of 318?

The greatest prime factor of 318 is 53.

• What are factors of 318?

Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.

• How do you find factors of a negative number? ( eg. -318 )?

Factors of -318 are -1, -2, -3, -6, -53, -106, -159, -318.

• What are five multiples of 318?

First five multiples of 318 are 636, 954, 1272, 1590, 1908.

• Write some multiples of 318?

First five multiples of 318 are 636, 954, 1272, 1590.

• Is 318 a perfect square?

No 318 is not a perfect square.

• What two numbers make 318?

Two numbers that make 318 are 2 and 159.

#### Examples of Factors

What is prime factorization of 318?

Prime factorization of 318 is 2 x 3 x 53 = 2 x 3 x 53.

Sammy is puzzled while calculating the prime factors of 318. Can you help him find them?

Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.
Prime factors of 318 are 2, 3, 53

Kevin has been asked to write 7 factor(s) of 318. Can you predict the answer?

7 factor(s) of 318 are 1, 2, 3, 6, 53, 106, 159.

Joey wants to write all the prime factors of 318 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 318 are 2, 3, 53.
So in exponential form it can be written as 2 x 3 x 53.

How many factors are there for 318?

Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 318? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 53, 106, 159, 318.
Negative factors are -1, -2, -3, -6, -53, -106, -159, -318.

Can you help Rubel to find out the product of the even factors of 318?

Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318.
Even factors of 318 are 2, 6, 106, 318.
Hence, product of even factors of 318 is; 2 x 6 x 106 x 318 = 404496.