Factors of 555

The numbers that divide 555 evenly are known as factors of 555.

A factor of 555 is a number that divides the number without remainder.

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555.

Negative factors of 555: -1, -3, -5, -15, -37, -111, -185, and -555.

Prime factors of 555: 3, 5, and 37.

Prime factorization of 555: 3 × 5 × 37.

The sum of factors of 555: 1 + 3 + 5 + 15 + 37 + 111 + 185 + 555 = 912

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 555. Identifying the numbers which are multiplied to get the number 555 is the multiplication method.

Step 1: Multiply 555 by 1, 555 × 1 = 555.

Step 2: Check for other numbers that give 555 after multiplying

3 × 185 = 555

5 × 111 = 555

15 × 37 = 555

Therefore, the positive factor pairs of 555 are: (1, 555), (3, 185), (5, 111), (15, 37). All these factor pairs result in 555. For every positive factor, there is a negative factor.

Dividing the given numbers with the 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 the simple division method -

Step 1: Divide 555 by 1, 555 ÷ 1 = 555.

Step 2: Continue dividing 555 by the numbers until the remainder becomes 0.

555 ÷ 1 = 555

555 ÷ 3 = 185

555 ÷ 5 = 111

555 ÷ 15 = 37

Therefore, the factors of 555 are: 1, 3, 5, 15, 37, 111, 185, 555.

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 555 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

555 ÷ 3 = 185

185 ÷ 5 = 37

37 ÷ 37 = 1

The prime factors of 555 are 3, 5, and 37.

The prime factorization of 555 is: 3 × 5 × 37.

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

Step 1: Firstly, 555 is divided by 3 to get 185.

Step 2: Now divide 185 by 5 to get 37. Here, 37 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 555 is: 3 × 5 × 37.

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 555: (1, 555), (3, 185), (5, 111), (15, 37).

Negative factor pairs of 555: (-1, -555), (-3, -185), (-5, -111), (-15, -37).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555.
  
   
• Prime factors: The factors which are prime numbers. For example, 3, 5, and 37 are prime factors of 555.
  
   
• 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 555 are (1, 555), (3, 185), etc.
  
   
• Prime factorization: Breaking down a number into its smallest prime factors. For instance, 555's prime factorization is 3 × 5 × 37.
  
   
• Division method: A method of finding factors by dividing the number by integers until the remainder is zero.