# Factors of 962: Prime Factorization, Methods, and Examples

Division of these numbers 1, 2, 13, 26, 37, 74, 481, 962 as divisor and 962 as dividend result in 921, 481, 74, 37, 26, 13, 2, 1 respectively.

This indicates that the above number becomes factors of 962 because division results in a whole number and this becomes composite too because it is about eight factors.

### Factors of 962

Here are the factors of number 962.

Factors of 962: 1, 2, 13, 26, 37, 74, 481, and 962

### Negative Factors of 962

The negative factors of 962Â are similar to its positive aspects, just with a negative sign.

Negative Factors of 962: -1, -2, -13, -26, -37, -74, -481, and -962.

### Prime Factorization of 962

The prime factorization of 962Â is the way of expressing its prime factors in the product form.

Prime Factorization: 2 x 13 x 37

In this article, we will learn about the factors of 962 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 962?

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, and 962. These numbers are the factors as they do not leave any remainder when divided by 962.

The factors of 962 are classified as prime numbers and composite numbers. The prime factors of the number 962 can be determined using the prime factorization technique.

## How To Find the Factors of 962?

You can find the factors of 962Â 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 962, create a list containing the numbers that are exactly divisible by 962 with zero remainders. One important thing to note is that 1 and 962 are the 962’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 962 are determined as follows:

$\dfrac{962}{1} = 962$

$\dfrac{962}{2} = 481$

$\dfrac{962}{13} = 74$

$\dfrac{962}{37} = 26$

$\dfrac{962}{74} = 13$

$\dfrac{962}{481} = 2$

$\dfrac{962}{962} = 1$

Therefore, 1, 2, 13, 26, 37, 74, 481, and 962 are the factors of 962.

### Total Number of Factors of 962

For 962, there are 8Â positive factors and 8Â negative ones. So in total, there are 16 factors of 962.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 962 is given as:

Factorization of 962 is 2 x 13 x 37.

The exponent of 2, 13, and 37 is 1,1,1.

Adding 1 to each and multiplying them together results in 8.

Therefore, the total number of factors of 962 is sixteen. Eight are positive, and eight 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 962 by Prime Factorization

The number 962 is a composite. 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 962 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 962, 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 962Â can be expressed as:

962 = 2 x 13 x 37

## Factors of 962 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 962, the factor pairs can be found as:

1 x 962 = 962

2 x 481 = 962

13 x 74 = 962

26 x 37 = 962

The possible factor pairs of 962 are given asÂ (1, 962), (2, 481), (13, 74), and (26, 37).

All these numbers in pairs, when multiplied, give 962 as the product.

The negative factor pairs of 962 are given as:

-1 x -962 = 962

-2 x -481 = 962

-13 x -74 = 962

-26 x -37 = 962

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, -13, -26, -37, -74, -481, and -962 are called negative factors of 962.

The list of all the factors of 962, including positive as well as negative numbers, is given below.

Factor list of 962: 1, -1, 2, -2, 13, -13, 26, -26, 37, -37, 74, -74, 481, -481, 962, and -962

## Factors of 962 Solved Examples

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

### Example 1

How many factors of 962 are there?

### Solution

The total number of Factors of 962 is eight.

Factors of 962 are 1, 2, 13, 26, 37, 74, 481, and 962.

### Example 2

Find the factors of 962 using prime factorization.

### Solution

The prime factorization of 962 is given as:

962 $\div$ 2 = 481Â

481 $\div$ 13 = 37Â

37 $\div$ 37 = 1Â

So the prime factorization of 962 can be written as:

2 x 13 x 37 = 962