265 LearnersLast updated on August 5th, 2025
Factors of 124
In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.
What are the factors of 124?
With the help of the long division method, we can find out that 124 can be easily divided by 1, 2, 4, 31, 62, and 124. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 124
There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree
Finding factors using multiplication method:
Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 124 the pairs are.
1×124=124
2×62=124
4×31=124
Therefore, we are able to conclude that the numbers 1, 2, 4, 31, 62, and 124 represent the factors of the number 124.
Finding factors by division method
In the division method, you need to divide the given number 124 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.
124÷1=124 (no remainder)
124÷2=62 (no remainder)
124÷4=31 (no remainder)
Prime factors and prime factorization
Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.
124÷2= 62 (2 is a prime factor).
31 is also a prime number.
Therefore, prime factors of 124 are 2 and 31.
Factor tree
A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.
Common mistakes and how to avoid them in factors of 124
It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them.
Mistake 1
Ignoring 1 and the number itself as factors
1 and the number itself are always considered as factors since they can divide the number, leaving no reminder. Hence, students should not exclude them while listing a number of factors.
Mistake 2
Misidentification of prime and composite numbers.
At times, kids may consider a composite number as a prime number and stop the division, or may include a composite number in prime factorization. To avoid this, they must always remember to divide each small number into its smallest form if possible.
Factors of 124 Examples
Problem 1
Is 15 a perfect square number?
No, 15 is not a perfect square
Explanation
√15 ≈ 3.87
3.87 is not an integer.
Problem 2
What is the least common multiple (LCM) of 8 and 14?
56
Explanation
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
Multiples of 14: 14, 28, 42, 56, ...
LCM: 56
Problem 3
What are the factors of 49?
1, 7 and 49 will be considered as the factors of the number 49.
Explanation
49 = 7 × 7
Factors: 1, 7, 49
FAQs on factors of 124
1.How many even factors does 124 have?
2.What is the sum of the factors of 9 together?
3.Is 62 a factor of 124?
4.How do you differentiate between multiples and factors?
5.Is 111 a prime number?
6.How can children in India use numbers in everyday life to understand Factors of 124?
7.What are some fun ways kids in India can practice Factors of 124 with numbers?
8.What role do numbers and Factors of 124 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 124 skills?
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About BrightChamps in India
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.
