 # Factors of 437: Prime Factorization, Methods, and Examples

The factors of 437 are numbers that divide 437 into equal parts. The number 437 is odd. It has four factors in total which is why it is named a composite number. Let us find out more about its factors.

### Factors of 437

Here are the factors of number 437.

Factors of 437: 1, 19, 23, and 437.

### Negative Factors of 437

The negative factors of 437 are similar to their positive aspects, just with a negative sign.

Negative Factors of 437: –1, -19, -23, and -437.

### Prime Factorization of 437

The prime factorization of 437 is the way of expressing its prime factors in the product form.

Prime Factorization: 19 x 23.

In this article, we will learn about the factors of 437 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 437?

The factors of 437 are 1,19, 23, and 437. These numbers are the factors as they do not leave any remainder when divided by 437.

The factors of 437 are classified as prime numbers and composite numbers. The prime factors of the number 437 can be determined using the prime factorization technique.

## How To Find the Factors of 437?

You can find the factors of 437 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 437, create a list containing the numbers divisible by 437 with zero remainders. One important thing to note is that 1 and 437 are the 437’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 437 are determined as follows:

$\dfrac{437}{1} = 437$

$\dfrac{437}{19} = 23$

Therefore, 1,19, 23, and 437 are the factors of 437.

### Total Number of Factors of 437

For 437, there are four positive factors and four negative ones. So in total, there are 8 factors of 437.

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 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 437 is given as:

Factorization of 437 is 1 x 19 x 23.

The exponent of 1,19 and 23 is 1.

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

Therefore, the total number of factors of 437 is 8. Four are positive, and four 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 number factors 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 two as its prime factor, the smallest prime factor.

## Factors of 437 by Prime Factorization

The number 437 is 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 437 using prime factorization, let us determine what prime factors are. Prime factors are the factors of any given number that are only divisible by one and themselves.

To start the prime factorization of 437, divide by its most minor prime factor. First, determine that the given number is either even or odd. Two will be the smallest prime factor if it is an even number.

Continue splitting the quotient obtained until one is received as the quotient. The prime factorization of 437 can be expressed as:

437 = 19 x 23

## Factors of 437 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. For 437, the factor pairs can be found as:

1 x 437=437

19 x 23 = 437

The possible factor pairs of 437 are given as (1, 437) and (19, 23).

All these numbers in pairs, when multiplied, give 437 as the product.

The negative factor pairs of 437 are given as:

-1 x -437 = 437

-19 x -23 = 437

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, -19, -23, and -437 are called negative factors of 437.

The list of all the factors of 437, including positive and negative numbers, is given below.

Factor list of 437: 1, -1, 19, -19, 23, -23, 437, and -437.

## Factors of 437 Solved Examples

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

### Example 1

How many factors of 437 are there?

### Solution

The total number of Factors of 437 is m.

Factors of 437 are 1,19, 23, and 437.

### Example 2

Find the factors of 437 using prime factorization.

### Solution

The prime factorization of 437 is given as:

437 $\div$ 19 = 23

23 $\div$ 23 = 1

So the prime factorization of 437 can be written as:

19 x 23 = 437