Factors of 533

The numbers that divide 533 evenly are known as factors of 533.

A factor of 533 is a number that divides the number without remainder.

The factors of 533 are 1, 13, 41, and 533.

Negative factors of 533: -1, -13, -41, and -533.

Prime factors of 533: 13 and 41.

Prime factorization of 533: 13 × 41.

The sum of factors of 533: 1 + 13 + 41 + 533 = 588

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
   
• Finding factors using division method
   
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 533. Identifying the numbers which are multiplied to get the number 533 is the multiplication method.

Step 1: Multiply 533 by 1, 533 × 1 = 533.

Step 2: Check for other numbers that give 533 after multiplying 13 × 41 = 533

Therefore, the positive factor pairs of 533 are: (1, 533), (13, 41).

All these factor pairs result in 533.

For every positive factor, there is a negative factor.

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 533 by 1, 533 ÷ 1 = 533.

Step 2: Continue dividing 533 by the numbers until the remainder becomes 0.

533 ÷ 1 = 533

533 ÷ 13 = 41

533 ÷ 41 = 13

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

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
   
• Using factor tree

Using Prime Factorization: In this process, prime factors of 533 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.

533 ÷ 13 = 41

41 ÷ 41 = 1

The prime factors of 533 are 13 and 41.

The prime factorization of 533 is: 13 × 41.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 533 is divided by 13 to get 41.

Step 2: Now divide 41 by 41 to get 1.

Here, 41 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 533 is: 13 × 41.

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

Both positive and negative factors constitute factor pairs.

Positive factor pairs of 533: (1, 533), (13, 41).

Negative factor pairs of 533: (-1, -533), (-13, -41).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 533 are 1, 13, 41, and 533.
   
• Prime factors: The factors which are prime numbers. For example, 13 and 41 are prime factors of 533.
   
• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 533 are (1, 533) and (13, 41).
   
• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 533 is 13 × 41.
   
• Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 533 are -1, -13, -41, and -533.