Factors of 485: Prime Factorization, Methods, and Examples

The factors of 485 are numbers that, when divided by 485, leave zero as the remainder. This means the numbers that ultimately divide the given number are named as their factors. 

Let us find out more about the factors of 485.

Factors of 485

Here are the factors of number 485.

Factors of 485: 1, 5, 97, and 485

Negative Factors of 485

The negative factors of 485 are similar to their positive aspects, just with a negative sign.

Negative Factors of 485: –1, -5, -97, and -485

Prime Factorization of 485

The prime factorization of 485 is the way of expressing its prime factors in the product form.

Prime Factorization: 5 x 97

In this article, we will learn about the factors of 485 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 485?

The factors of 485 are 1, 5, 97, and 485. These numbers are the factors as they do not leave any remainder when divided by 485.

The factors of 485 are classified as prime numbers and composite numbers. The prime factors of the number 485 can be determined using the prime factorization technique.

How To Find the Factors of 485?

You can find the factors of 485 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 485, create a list containing the numbers divisible by 485 with zero remainders. One important thing to note is that 1 and 485 are the 485’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 485 are determined as follows:

\[\dfrac{485}{1} = 485\]

\[\dfrac{485}{5} = 97\]

Therefore, 1, 5, 97, and 485 are the factors of 485.

Total Number of Factors of 485

For 485, there are four positive factors and four negative ones. So in total, there are eight factors of 485. 

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 485 is given as:

Factorization of 485 is 1 x 5 x 97..

The exponent of 1, 5, and 97 is 1.

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

Therefore, the total number of factors of 485 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 2 as its prime factor, the smallest prime factor.

Factors of 485 by Prime Factorization

The number 485 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 485 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 485, 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 1 is received as the quotient. The prime factorization of 485 can be expressed as:

485 = 5 x 97

Factors of 485 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 485, the factor pairs can be found as:

1 x 485 = 485

5 x 97 = 485 

The possible factor pairs of 485 are given as (1, 485) and (5, 97).

All these numbers in pairs, when multiplied, give 485 as the product.

The negative factor pairs of 485 are given as:

-1 x -485 = 485

-5 x -97 = 485 

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, -5, -97, and -485 are called negative factors of 485.

The list of all the factors of 485, including positive and negative numbers, is given below.

Factor list of 485: 1, –1, 5, -5, 97, -97, 485, and -485

Factors of X Solved Examples

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

Example 1

How many factors of 485 are there?

Solution

The total number of Factors of 485 is four.

Factors of 485 are 1, 5, 97, and 485.

Example 2

Find the factors of 485 using prime factorization.

Solution

The prime factorization of 485 is given as:

485 $\div$ 5 = 97 

97 $\div$ 97 = 1 

So the prime factorization of 485 can be written as:

5 x 97 = 485

Factors of 484|Factors List| Factors of 486