122 LearnersLast updated on May 26th, 2025
Factors of 251
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 251, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 251?
The numbers that divide 251 evenly are known as factors of 251.
A factor of 251 is a number that divides the number without remainder.
The factors of 251 are 1 and 251.
Negative factors of 251: -1 and -251.
Prime factors of 251: 251.
Prime factorization of 251: 251 (since 251 is a prime number).
The sum of factors of 251: 1 + 251 = 252
How to Find Factors of 251?
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 251.
Since 251 is a prime number, it only has itself and 1 as factors.
Therefore, the positive factor pairs of 251 are: (1, 251).
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 251 by 1, 251 ÷ 1 = 251.
Step 2: Check divisibility by numbers from 2 to the square root of 251.
Since 251 is not divisible by any whole number other than 1 and itself, the factors of 251 are: 1, 251.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 251 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 251 is a prime number, the prime factorization of 251 is simply 251 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
For 251, since it is a prime number, the factor tree is a simple line showing 251 dividing by 1.
Therefore, the prime factorization of 251 is: 251.
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 251: (1, 251).
Negative factor pairs of 251: (-1, -251).
Common Mistakes and How to Avoid Them in Factors of 251
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the 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 the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 251, 1 and 251 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 251 consist of -1 and -251.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 251/1.5 = 167.333, and it 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 251 are prime numbers. Since 251 is a prime number, its only factors are 1 and 251.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing 251 as a prime number and trying to break it down further.
Factors of 251 Examples
Problem 1
There is a group of 251 people, and they all want to form a single line. How can they do it?
They form a single line of 251 people.
Explanation
Since 251 is a prime number, it can only be divided by 1 and itself.
So, they can only form one line with all 251 people.
Problem 2
A rectangular park has an area of 251 square meters, and the length is 1 meter. What is the width?
251 meters.
Explanation
To find the width of the park, we use the formula, Area = length × width
251 = 1 × width
To find the value of width, we need to shift 1 to the left side.
251/1 = width
Width = 251.
Problem 3
A company has 251 units of a product, and they want to pack them in boxes of 1 unit each. How many boxes are needed?
251 boxes.
Explanation
To pack the product, each box will contain 1 unit.
Since there are 251 units, they need 251 boxes.
251/1 = 251
Problem 4
A garden has a perimeter of 251 meters and one side is 1 meter. How long is the opposite side?
251 meters.
Explanation
If one side of the perimeter is 1 meter and the total perimeter is 251 meters, the opposite side must be the remaining length.
Since 251 is a prime number, it can only be divided by 1 and itself.
251 - 1 = 250 (one side is 250 meters longer)
Problem 5
There are 251 chairs to be arranged in one row. How many chairs will be in each row?
251 chairs.
Explanation
Since all chairs need to be in one row, each row will have 251 chairs.
FAQs on Factors of 251
1.What are the factors of 251?
2.Mention the prime factors of 251.
3.Is 251 a multiple of 3?
4.Mention the factor pairs of 251?
5.Is 251 a prime number?
6.How can children in United States use numbers in everyday life to understand Factors of 251?
7.What are some fun ways kids in United States can practice Factors of 251 with numbers?
8.What role do numbers and Factors of 251 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 251 skills?
Important Glossaries for Factors of 251
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 251 are 1 and 251.
- Prime factors: The factors which are prime numbers. For example, 251 is a prime factor of 251.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 251 is (1, 251).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 251 is a prime number.
- Divisibility: The ability of a number to be divided by another number without leaving a remainder. For example, 251 is only divisible by 1 and 251.
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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.
