# Factors of 373: Prime Factorization, Methods, and Examples

The factors of 373 are the number that, when divided by 373, give zero remainders. The factors of 373 can be negative and positive. It is a prime number.

Let us find out more about factors of 373 in this lesson.

### Factors of 373

Here are the factors of number 373.

Factors of 373: 1 and 373

### Negative Factors of 373

The negative factors of 373 are similar to their positive aspects, just with a negative sign.

Negative Factors of 373: -1 and -373

### Prime Factorization of 373

The prime factorization of 373 is the way of expressing its prime factors in the product form.

Prime Factorization:1 x 373

In this article, we will learn about the factors of 373 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 373?

The factors of 373 are 1 and 373. These numbers are the factors as they do not leave any remainder when divided by 373.

The factors of 373 are classified as prime numbers and composite numbers. The prime factors of the number X can be determined using the prime factorization technique.

## How To Find the Factors of 373?

You can find the factors of 373 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 373, create a list containing the numbers that are exactly divisible by 373 with zero remainders. One important thing to note is that 1 and 373 are the 373’s factors as every natural number has one and the number itself as its factor.

One is also called the universal factor of every number. The factors of 373 are determined as follows:

$\dfrac{373}{1} = 373$

Therefore, 1 and 373 are the factors of 373.

### Total Number of Factors of 373

For 373, there are two positive factors and two negative ones. So in total, there are four factors of 373.

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 X is given as:

The Factorization of 373 is 1 x 373.

The exponent of 1 and 373 is 1.

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

Therefore, the total number of factors of 373 is m. n is positive, and n 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 373 by Prime Factorization

The number 373 is a prime 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 373 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 one and themselves.

To start the prime factorization of 373, 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 373 can be expressed as:

373 = 1 x 373

## Factors of 373 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 373, the factor pairs can be found as:

1 x 373 = 373

The possible factor pairs of 373 are given as (1, 373).

All these numbers in pairs, when multiplied, give 373 as the product.

The negative factor pairs of 373 are given as:

-1 x -373 = 373

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,-373 are called negative factors of 373.

The list of all the factors of 373, including positive and negative numbers, is given below.

Factor list of 373: 1, -1, 373, and -373

## Factors of 373 Solved Examples

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

### Example 1

How many factors of 373 are there?

### Solution

The total number of Factors of 373 is m.

Factors of 373 are 1 and 373.

### Example 2

Find the factors of 373 using prime factorization.

### Solution

The prime factorization of 373 is given as:

373 $\div$ 373 = 1

So the prime factorization of 373 can be written as:

1 x 373 = 373