Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 555, how they are used in real life, and the tips to learn them quickly.
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:
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: 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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 555 apples. How will they divide them equally?
They will get 185 apples each.
To divide the apples equally, we need to divide the total apples with the number of teams.
555/3 = 185
A field is rectangular, the length of the field is 15 meters and the total area is 555 square meters. Find the width?
37 meters.
To find the width of the field, we use the formula,
Area = length × width
555 = 15 × width
To find the value of width, we need to shift 15 to the left side.
555/15 = width
Width = 37.
There are 5 boxes and 555 marbles. How many marbles will be in each box?
Each box will have 111 marbles.
To find the marbles in each box, divide the total marbles with the boxes.
555/5 = 111
In a class, there are 555 students, and 111 groups. How many students are there in each group?
There are 5 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
555/111 = 5
555 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each of the shelves has 15 books.
Divide total books with shelves.
555/37 = 15
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.