118 LearnersLast updated on May 26th, 2025
Factors of 551
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.
What are the Factors of 551?
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
How to Find Factors of 551?
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
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 551
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 551, 1 and 551 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 551 consist of -1, -19, -29, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 551/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 551 are prime numbers.
For example, 19 and 29 are the prime factors of 551, but it has other factors like 1 and 551.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 551 as 19 × 29 and missing all the key factors.
Factors of 551 Examples
Problem 1
There are 19 people and 551 apples. How will they divide them equally?
They will get 29 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of people.
551/19 = 29
Problem 2
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.
Explanation
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.
Problem 3
There are 29 baskets and 551 oranges. How many oranges will be in each basket?
Each basket will have 19 oranges.
Explanation
To find the oranges in each basket, divide the total oranges with the baskets.
551/29 = 19
Problem 4
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.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
551/19 = 29
Problem 5
551 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books with shelves.
551/29 = 19
FAQs on Factors of 551
1.What are the factors of 551?
2.Mention the prime factors of 551.
3.Is 551 a multiple of 19?
4.Mention the factor pairs of 551?
5.What is the square of 551?
Important Glossaries for Factors of 551
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 551 are 1, 19, 29, and 551.
- Prime factors: The factors which are prime numbers. For example, 19 and 29 are prime factors of 551.
- 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 551 are (1, 551) and (19, 29).
- Prime factorization: The process of expressing a number as a product of its prime factors. For 551, it is 19 × 29.
- Multiple: A number that can be divided by another number without a remainder. For example, 551 is a multiple of 19.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
