Factors of 533: Prime Factorization, Methods, and Examples

The group of natural numbers that may be divided entirely by 533 is known as the factors of 533. The integers in pairs that, when multiplied together, produce the number 533  as their product are known as the factors of 533. 533  is a four-factor composite number. 

533  is the highest or largest factor of 533.

Factors of 533

Here are the factors of number 533.

Factors of 533: 1, 13, 41,533

Negative Factors of 533

The negative factors of 533 are similar to its positive aspects, just with a negative sign.

Negative Factors of 533: -1, -13, -41,-533

Prime Factorization of 533

The prime factorization of 533 is the way of expressing its prime factors in the product form.

Prime Factorization: a x b

In this article, we will learn about the factors of 533 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 533?

The factors of 533 are 1, 13, 41,533. These numbers are the factors as they do not leave any remainder when divided by 533.

The factors of 533 are classified as prime numbers and composite numbers. The prime factors of the number 533 can be determined using the prime factorization technique.

How To Find the Factors of 533?

You can find the factors of 533 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 533, create a list containing the numbers that are exactly divisible by 533 with zero remainders. One important thing to note is that 1 and533 are the 533’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 533 are determined as follows:

\[\dfrac{533}{1} =533\]

\[\dfrac{533}{13} = 41\]

\[\dfrac{533}{41} = 13\]

\[\dfrac{533}{533} = 1\]

Therefore, 1, 13, 41,533are the factors of 533.

Total Number of Factors of 533

For 533, there are 4 positive factors and 4 negative ones. So in total, there are 8 factors of 533. 

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 533 is given as:

Factorization of 533 is  13 x 41.

The exponent of 13  is 1,  and 41 is 1.

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

Therefore, the total number of factors of 533 is 8. 4 is positive, and 4 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 533 by Prime Factorization

The number 533 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 533 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 533, 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 533 can be expressed as:

533 = 13 x 41 

Factors of 533 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 533, the factor pairs can be found as:

1 x 533 = 533

13 x 41 = 533

The possible factor pairs of 533 are given as (1, 533) and (13, 41 ).

All these numbers in pairs, when multiplied, give 533 as the product.

The negative factor pairs of533are given as:

-1 x -533 = 533

-13 x -41 = 533

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, -13, -41,-533 are called negative factors of 533.

The list of all the factors of 533, including positive as well as negative numbers, is given below.

Factor list of 533:1 , -1, 13,-13, 41 -41,533 and -533

Factors of 533 Solved Examples

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

Example 1

How many factors of 533 are there?

Solution

The total number of Factors of 533 is 8.

Factors of 533 are 1, 13, 41,533.

Example 2

Find the factors of 533 using prime factorization.

Solution

The prime factorization of 533 is given as:

533 $\div$ 13 =41 

41 $\div$ 41= 1 

So the prime factorization of 533 can be written as:

13 x 41= 533

Factors of 532|Factors List| Factors of 534