Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 551, how they are used in real life, and tips to learn them quickly.
The numbers that divide 551 evenly are known as factors of 551.
A factor of 551 is a number that divides the number without a remainder.
The factors of 551 are 1, 19, 29, and 551.
Negative factors of 551: -1, -19, -29, and -551.
Prime factors of 551: 19 and 29.
Prime factorization of 551: 19 × 29.
The sum of factors of 551: 1 + 19 + 29 + 551 = 600
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 551. Identifying the numbers which are multiplied to get the number 551 is the multiplication method.
Step 1: Multiply 551 by 1, 551 × 1 = 551.
Step 2: Check for other numbers that give 551 after multiplying
19 × 29 = 551
Therefore, the positive factor pairs of 551 are: (1, 551) and (19, 29). All these factor pairs result in 551. 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 in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 551 by 1, 551 ÷ 1 = 551.
Step 2: Continue dividing 551 by the numbers until the remainder becomes 0.
551 ÷ 1 = 551
551 ÷ 19 = 29
551 ÷ 29 = 19
Therefore, the factors of 551 are: 1, 19, 29, 551.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 551 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
551 ÷ 19 = 29
29 ÷ 29 = 1
The prime factors of 551 are 19 and 29.
The prime factorization of 551 is: 19 × 29.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 551 is divided by 19 to get 29.
Step 2: Now divide 29 by 29 to get 1. Here, 29 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 551 is: 19 × 29.
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 551: (1, 551) and (19, 29).
Negative factor pairs of 551: (-1, -551) and (-19, -29).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
There are 19 people and 551 apples. How will they divide them equally?
They will get 29 apples each.
To divide the apples equally, we need to divide the total apples with the number of people.
551/19 = 29
A garden is rectangular, the length of the garden is 29 meters and the total area is 551 square meters. Find the width?
19 meters.
To find the width of the garden, we use the formula,
Area = length × width
551 = 29 × width
To find the value of width, we need to shift 29 to the left side.
551/29 = width
Width = 19.
There are 29 baskets and 551 oranges. How many oranges will be in each basket?
Each basket will have 19 oranges.
To find the oranges in each basket, divide the total oranges with the baskets.
551/29 = 19
In a school, there are 551 students, and 19 groups. How many students are there in each group?
There are 29 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
551/19 = 29
551 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Divide total books with shelves.
551/29 = 19
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.