# Factors of 668

Factors of 668 are 1, 2, 4, 167, 334, and 668

#### How to find factors of a number

 1.   Find factors of 668 using Division Method 2.   Find factors of 668 using Prime Factorization 3.   Find factors of 668 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 668

• Divide 668 by 1: 668 ÷ 1 : Remainder = 0
• Divide 668 by 2: 668 ÷ 2 : Remainder = 0
• Divide 668 by 4: 668 ÷ 4 : Remainder = 0
• Divide 668 by 167: 668 ÷ 167 : Remainder = 0
• Divide 668 by 334: 668 ÷ 334 : Remainder = 0
• Divide 668 by 668: 668 ÷ 668 : Remainder = 0

Hence, Factors of 668 are 1, 2, 4, 167, 334, and 668

#### 2. Steps to find factors of 668 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 668 using the division method, follow these steps:

• Step 1. Start dividing 668 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 668, which is 2. Divide 668 by 2 to obtain the quotient (334).
668 ÷ 2 = 334
• Step 3. Repeat step 1 with the obtained quotient (334).
334 ÷ 2 = 167
167 ÷ 167 = 1

So, the prime factorization of 668 is, 668 = 2 x 2 x 167.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 668 as shown below:

So, the prime factorization of 668 is, 668 = 2 x 2 x 167.

#### 3. Find factors of 668 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 668 would be the two numbers which, when multiplied, give 668 as the result.

The following table represents the calculation of factors of 668 in pairs:

Factor Pair Pair Factorization
1 and 668 1 x 668 = 668
2 and 334 2 x 334 = 668
4 and 167 4 x 167 = 668

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 668. They are called negative pair factors.

Hence, the negative pairs of 668 would be ( -1 , -668 ) , ( -2 , -334 ) and ( -4 , -167 ) .

#### 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. 668 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 668.
• Every number is a factor of zero (0), since 668 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, 167, 334, 668 are exact divisors of 668.
• Factors of 668 are 1, 2, 4, 167, 334, 668. Each factor divides 668 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 167, 334, 668 are all less than or equal to 668.

• What two numbers make 668?

Two numbers that make 668 are 2 and 334.

• What is prime factorization of 668?

Prime factorization of 668 is 2 x 2 x 167.

• Write some multiples of 668?

First five multiples of 668 are 1336, 2004, 2672, 3340.

• Which is the smallest prime factor of 668?

The smallest prime factor of 668 is 2.

• Is 668 a perfect square?

No 668 is not a perfect square.

• What is the sum of all factors of 668?

The sum of all factors of 668 is 1176.

• What are factors of 668?

Factors of 668 are 1, 2, 4, 167, 334, 668.

• How do you find factors of a negative number? ( eg. -668 )?

Factors of -668 are -1, -2, -4, -167, -334, -668.

• Is 668 a whole number?

Yes 668 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 668. Help him in finding the mean of 668.

Factors of 668 are 1, 2, 4, 167, 334, 668.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 668 is 1 + 2 + 4 + 167 + 334 + 668 = 1176.
Hence, the mean of factors of 668 is 1176 ÷ 6 = 196.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 668? Help her in writing all the factors.

Positive factors are 1, 2, 4, 167, 334, 668.
Negative factors are -1, -2, -4, -167, -334, -668.

Joey wants to write all the prime factors of 668 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 668 are 2, 2, 167.
So in exponential form it can be written as 22 x 167.

Kevin has been asked to write 5 factor(s) of 668. Can you predict the answer?

5 factor(s) of 668 are 1, 2, 4, 167, 334.

Sammy is puzzled while calculating the prime factors of 668. Can you help him find them?

Factors of 668 are 1, 2, 4, 167, 334, 668.
Prime factors of 668 are 2, 2, 167

What is prime factorization of 668?

Prime factorization of 668 is 2 x 2 x 167 = 22 x 167.

Can you help Rubel to find out the product of the even factors of 668?

Factors of 668 are 1, 2, 4, 167, 334, 668.
Even factors of 668 are 2, 4, 334, 668.
Hence, product of even factors of 668 is; 2 x 4 x 334 x 668 = 1784896.