# Factors of 996: Prime Factorization, Methods, and Examples

996 has a total of 12 factors and out of these 12 factors three are prime factors, and all others are composite numbers. By 12 factors we mean that 996 has 12 positive and 12 negative factors.Â

The total sum of all the factors of 996 is 2352.

### Factors of 996

Here are the factors of number 996.

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

### Negative Factors of 996

The negative factors of 996Â are similar to its positive aspects, just with a negative sign.

Negative Factors of 996: – 1, -2, -3, -4, -6, -12, -83, -166, -249, -332, -498 and -996.

### Prime Factorization of 996

The prime factorization of 996Â is the way of expressing its prime factors in the product form.

Prime Factorization: 2$^2$ x 3 x 83

In this article, we will learn about the factors of 996 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 996?

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996. These numbers are the factors as they do not leave any remainder when divided by 996.

The factors of 996 are classified as prime numbers and composite numbers. The prime factors of the number 996 can be determined using the prime factorization technique.

## How To Find the Factors of 996?

You can find the factors of 996Â by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.

To find the factors of 996, create a list containing the numbers that are exactly divisible by 996 with zero remainders. One important thing to note is that 1 and 996 are the 996’s factors as every natural number has 1 and the number itself as its factor.

1 is also called the universal factor of every number. The factors of 996 are determined as follows:

$\dfrac{996}{1} = 996$

$\dfrac{996}{2} = 498$

$\dfrac{996}{3} = 332$

$\dfrac{996}{4} = 249$

$\dfrac{996}{6} = 166$

$\dfrac{996}{12} = 83$

$\dfrac{996}{83} = 12$

$\dfrac{996}{166} = 6$

$\dfrac{996}{249} = 4$

$\dfrac{996}{332} = 3$

$\dfrac{996}{498} = 2$

$\dfrac{996}{996} = 1$

Therefore, Â 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996. are the factors of 996.

### Total Number of Factors of 996

For 996, there are 12Â positive factors and 12Â negative ones. So in total, there are m factors of 996.Â

To find the total number of factors of the given number, follow the procedure mentioned below:

1. Find the factorization/prime factorization of the given number.
2. Demonstrate the prime factorization of the number in the form of exponent form.
3. Add 1 to each of the exponents of the prime factor.
4. Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.

By following this procedure, the total number of factors of 996 is given as:

Factorization of 996 is 1 x 2$^2$ x 3 x 83.

The exponent of 1, 2, and 83 is 1 and the exponent of 2 is 2.

Adding 1 to each and multiplying them together results in 24.

Therefore, the total number of factors of 996 is 24. 12 are positive, and 12 factors are negative.

### Important Notes

Here are some essential points that must be considered while finding the factors of any given number:

• The factor of any given number must be a whole number.
• The factors of the number cannot be in the form of decimals or fractions.
• Factors can be positive as well as negative.
• Negative factors are the additive inverse of the positive factors of a given number.
• The factor of a number cannot be greater than that number.
• Every even number has 2 as its prime factor, the smallest prime factor.

## Factors of 996 by Prime Factorization

The number 996 is a composite number. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.

Before finding the factors of 996 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.

To start the prime factorization of 996, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.

Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 996Â can be expressed as:

996 = 2$^2$ x 3 x 83

## Factors of 996 in Pairs

The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.

For 996, the factor pairs can be found as:

1 x 996 = 996

2 x 498 = 996Â

3 x 332 = 996

4 x 249 = 996Â

6 x 116 = 996

12 x 83 = 996Â

The possible factor pairs of 996 are given asÂ (1, 996), (2, 498), (3, 332), (4, 249), (6, 116), and (12, 83).

All these numbers in pairs, when multiplied, give 996 as the product.

The negative factor pairs of 996 are given as:

-1 x -996 = 996

-2 x -498 = 996Â

-3 x -332 = 996

-4 x -249 = 996Â

-6 x -116 = 996

-12 x -83 = 996Â

It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, – 1, -2, -3, -4, -6, -12, -83, -166, -249, -332, and -498 and 996. are called negative factors of 996.

The list of all the factors of 996, including positive as well as negative numbers, is given below.

Factor list of 996: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12, 83, -83, 166, -166, 249, -249, 332, -322, 498, -498, 996, and -996.

## Factors of 996 Solved Examples

To better understand the concept of factors, let’s solve some examples.

### Example 1

How many factors of 996 are there?

### Solution

The total number of Factors of 996 is 12.

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

### Example 2

Find the factors of 996 using prime factorization.

### Solution

The prime factorization of 996 is given as:

996 $\div$ 2 = 498Â

498 $\div$ 2 = 249Â

249 $\div$ 3 = 83Â

83 $\div$ 83 = 1Â

So the prime factorization of 996 can be written as:

2$^2$ x 3 x 83 = 996