126 LearnersLast updated on May 26th, 2025
Factors of 372
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 372, how they are used in real life, and tips to learn them quickly.
What are the Factors of 372?
The numbers that divide 372 evenly are known as factors of 372. A factor of 372 is a number that divides the number without remainder.
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372.
Negative factors of 372: -1, -2, -3, -4, -6, -12, -31, -62, -93, -124, -186, and -372.
Prime factors of 372: 2, 3, and 31.
Prime factorization of 372: 22 x 3 x 31.
The sum of factors of 372: 1 + 2 + 3 + 4 + 6 + 12 + 31 + 62 + 93 + 124 + 186 + 372 = 896
How to Find Factors of 372?
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 372. Identifying the numbers which are multiplied to get the number 372 is the multiplication method.
Step 1: Multiply 372 by 1, 372 × 1 = 372.
Step 2: Check for other numbers that give 372 after multiplying:
2 × 186 = 372
3 × 124 = 372
4 × 93 = 372
6 × 62 = 372
12 × 31 = 372
Therefore, the positive factor pairs of 372 are: (1, 372), (2, 186), (3, 124), (4, 93), (6, 62), (12, 31). 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 372 by 1, 372 ÷ 1 = 372.
Step 2: Continue dividing 372 by the numbers until the remainder becomes 0.
372 ÷ 1 = 372
372 ÷ 2 = 186
372 ÷ 3 = 124
372 ÷ 4 = 93
372 ÷ 6 = 62
372 ÷ 12 = 31
Therefore, the factors of 372 are: 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 372 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
372 ÷ 2 = 186
186 ÷ 2 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
The prime factors of 372 are 2, 3, and 31.
The prime factorization of 372 is: 22 x 3 x 31
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 372 is divided by 2 to get 186.
Step 2: Now divide 186 by 2 to get 93.
Step 3: Then divide 93 by 3 to get 31. Here, 31 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 372 is: 22 x 3 x 31.
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 372: (1, 372), (2, 186), (3, 124), (4, 93), (6, 62), (12, 31).
Negative factor pairs of 372: (-1, -372), (-2, -186), (-3, -124), (-4, -93), (-6, -62), (-12, -31).
Common Mistakes and How to Avoid Them in Factors of 372
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 word. Always remember to include 1 and the number itself.
For example, in factors of 372, 1 and 372 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 372 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 372/1.5 = 248, 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 372 are prime numbers. For example, 2, 3, and 31 are the prime factors of 372, but it has other factors like 4, 12.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 372 as 22 x 3 x 31 and missing all the key factors.
Factors of 372 Examples
Problem 1
There are 12 teams and 372 players. How will they divide the players equally among the teams?
They will get 31 players each.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
372/12 = 31
Problem 2
A garden is rectangular, the length of the garden is 31 meters and the total area is 372 square meters. Find the width.
12 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
372 = 31 × width
To find the value of width, we need to shift 31 to the left side.
372/31 = width
Width = 12.
Problem 3
There are 6 buses and 372 passengers. How many passengers will be in each bus?
Each bus will have 62 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the buses.
372/6 = 62
Problem 4
In a concert, there are 372 seats, and 4 sections. How many seats are there in each section?
There are 93 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
372/4 = 93
Problem 5
372 pages need to be printed in 3 printers. How many pages will each printer print?
Each printer will print 124 pages.
Explanation
Divide total pages by printers.
372/3 = 124
FAQs on Factors of 372
1.What are the factors of 372?
2.Mention the prime factors of 372.
3.Is 372 a multiple of 6?
4.Mention the factor pairs of 372?
5.What is the square of 372?
6.How can children in Thailand use numbers in everyday life to understand Factors of 372?
7.What are some fun ways kids in Thailand can practice Factors of 372 with numbers?
8.What role do numbers and Factors of 372 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 372 skills?
Important Glossaries for Factor of 372
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 372.
- 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 372 are (1, 372), (2, 186), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the number by integers and checking for a zero remainder.
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About BrightChamps in Thailand
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.
