# Factors of 996

Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996

#### How to find factors of a number

 1.   Find factors of 996 using Division Method 2.   Find factors of 996 using Prime Factorization 3.   Find factors of 996 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 996

• Divide 996 by 1: 996 ÷ 1 : Remainder = 0
• Divide 996 by 2: 996 ÷ 2 : Remainder = 0
• Divide 996 by 3: 996 ÷ 3 : Remainder = 0
• Divide 996 by 4: 996 ÷ 4 : Remainder = 0
• Divide 996 by 6: 996 ÷ 6 : Remainder = 0
• Divide 996 by 12: 996 ÷ 12 : Remainder = 0
• Divide 996 by 83: 996 ÷ 83 : Remainder = 0
• Divide 996 by 166: 996 ÷ 166 : Remainder = 0
• Divide 996 by 249: 996 ÷ 249 : Remainder = 0
• Divide 996 by 332: 996 ÷ 332 : Remainder = 0
• Divide 996 by 498: 996 ÷ 498 : Remainder = 0
• Divide 996 by 996: 996 ÷ 996 : Remainder = 0

Hence, Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996

#### 2. Steps to find factors of 996 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 996 using the division method, follow these steps:

• Step 1. Start dividing 996 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 996, which is 2. Divide 996 by 2 to obtain the quotient (498).
996 ÷ 2 = 498
• Step 3. Repeat step 1 with the obtained quotient (498).
498 ÷ 2 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1

So, the prime factorization of 996 is, 996 = 2 x 2 x 3 x 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 996 as shown below:

So, the prime factorization of 996 is, 996 = 2 x 2 x 3 x 83.

#### 3. Find factors of 996 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 996 would be the two numbers which, when multiplied, give 996 as the result.

The following table represents the calculation of factors of 996 in pairs:

Factor Pair Pair Factorization
1 and 996 1 x 996 = 996
2 and 498 2 x 498 = 996
3 and 332 3 x 332 = 996
4 and 249 4 x 249 = 996
6 and 166 6 x 166 = 996
12 and 83 12 x 83 = 996

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 996. They are called negative pair factors.

Hence, the negative pairs of 996 would be ( -1 , -996 ) , ( -2 , -498 ) , ( -3 , -332 ) , ( -4 , -249 ) , ( -6 , -166 ) and ( -12 , -83 ) .

#### 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. 996 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 996.
• Every number is a factor of zero (0), since 996 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, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996 are exact divisors of 996.
• Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996. Each factor divides 996 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996 are all less than or equal to 996.

• How do you find factors of a negative number? ( eg. -996 )?

Factors of -996 are -1, -2, -3, -4, -6, -12, -83, -166, -249, -332, -498, -996.

• What is the sum of all factors of 996?

The sum of all factors of 996 is 2352.

• What is prime factorization of 996?

Prime factorization of 996 is 2 x 2 x 3 x 83.

• What are the pair factors of 996?

Pair factors of 996 are (1,996), (2,498), (3,332), (4,249), (6,166), (12,83).

• What are six multiples of 996?

First five multiples of 996 are 1992, 2988, 3984, 4980, 5976, 6972.

• Is 996 a whole number?

Yes 996 is a whole number.

• Which is the smallest prime factor of 996?

Smallest prime factor of 996 is 2.

• What are five multiples of 996?

First five multiples of 996 are 1992, 2988, 3984, 4980, 5976.

• Write all factors of 996?

Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.

#### Examples of Factors

Joey wants to write all the prime factors of 996 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 996 are 2, 2, 3, 83.
So in exponential form it can be written as 22 x 3 x 83.

How many factors are there for 996?

Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 996. Can you predict the answer?

11 factor(s) of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498.

Sammy is puzzled while calculating the prime factors of 996. Can you help him find them?

Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.
Prime factors of 996 are 2, 2, 3, 83

What is prime factorization of 996?

Prime factorization of 996 is 2 x 2 x 3 x 83 = 22 x 3 x 83.

Ariel has been assigned the task to find the product of all the prime factors of 996. Can you help her?

Prime factors of 996 are 2, 2, 3, 83.
Hence, the product of prime factors of 498.

Can you help Rubel to find out the product of the even factors of 996?

Factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.
Even factors of 996 are 2, 4, 6, 12, 166, 332, 498, 996.
Hence, product of even factors of 996 is; 2 x 4 x 6 x 12 x 166 x 332 x 498 x 996 = 15745531908096.