193 LearnersLast updated on May 26th, 2025
Factors of 122
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 122 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 122?
Factors are whole numbers that, when multiplied, the product is equal to 122.
122 is not a prime number, its factors are 1,2,61,122. For every factor, there is a corresponding negative factor, for 122, the negative factors -1,-2,-61,-122.
How to find the factors of 122?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication <content>
Step 1: Find all pairs of numbers whose product is 122.
Step 2: All the pairs found represent the factors of 122.
122 is not a prime number. The pair of numbers whose product is 122 is;
1×122=122
2×61= 122
The factors of 122 are 1,2,61,122.
Finding Factors by Division Method
Step 1: Start by dividing 122 with the smallest number, and check the remainders.
Step 2: 122 is not prime, therefore the divisors it has are 1,2,61,122. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 122 are 1,2,61,122.
Prime factors and prime factorization
— 122 is not a prime number.
— The prime factorization of 122 is 2×61.
— Factors of 122 are 1,2,61,122.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 122, only one branch will be extended, as the number is prime factorized as 2×61. 61 is a prime number and cannot be factored further.
Common mistakes and how to avoid them in factors of 122
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 122. Don’t worry, it is a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included
Factors of 122 Examples
Problem 1
Is 13 a factor of 161?
Divide 161 by 13: 161÷13=12.38 (not a whole number)
Since 161 divided by 13 does not result in a whole number, 13 is not a factor of 161.
Explanation
To check if a number is a factor, divide it into the main number and see if it divides evenly (leaving no remainder). Here, 13 does not divide evenly into 161, so it isn’t a factor.
Problem 2
Find the sum of all factors of 161.
The factors of 161 are 1, 7, 23, and 161.
Add these factors: 1+7+23+161=192
So, the sum of all factors of 161 is 192.
Explanation
Once we know the factors, finding the sum is easy—just add them up! The total gives the sum of all factors.
Problem 3
Find the greatest common factor (GCF) of 161 and 92.
Find factors of 161: 1, 7, 23, 161.
Find factors of 92: 1, 2, 4, 23, 46, 92.
The common factors are 1 and 23.
The greatest common factor is 23.
Explanation
To find the GCF, list the factors of each number and identify the largest factor they share. Here, 23 is the largest common factor between 161 and 92.
FAQs on Factors of 122
1.What is the GCF of 122 and 20?
2. Is 122 a multiple of 12?
3. Is 0 a whole number?
4.What are the factor pairs of 122?
5.What is the square root of 122?
Important Glossaries for Factors of 122
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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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.
