Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 12 teams and 372 players. How will they divide the players equally among the teams?
They will get 31 players each.
To divide the players equally, we need to divide the total players by the number of teams.
372/12 = 31
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.
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.
There are 6 buses and 372 passengers. How many passengers will be in each bus?
Each bus will have 62 passengers.
To find the passengers in each bus, divide the total passengers by the buses.
372/6 = 62
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.
Dividing the seats by the total sections, we will get the number of seats in each section.
372/4 = 93
372 pages need to be printed in 3 printers. How many pages will each printer print?
Each printer will print 124 pages.
Divide total pages by printers.
372/3 = 124
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.
: She loves to read number jokes and games.