Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 376, how they are used in real life, and tips to learn them quickly.
The numbers that divide 376 evenly are known as factors of 376. A factor of 376 is a number that divides the number without a remainder.
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, and 376.
Negative factors of 376: -1, -2, -4, -8, -47, -94, -188, and -376.
Prime factors of 376: 2 and 47.
Prime factorization of 376: 2³ × 47.
The sum of the factors of 376: 1 + 2 + 4 + 8 + 47 + 94 + 188 + 376 = 720
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 376. Identifying the numbers which are multiplied to get the number 376 is the multiplication method.
Step 1: Multiply 376 by 1, 376 × 1 = 376.
Step 2: Check for other numbers that give 376 after multiplying
2 × 188 = 376
4 × 94 = 376
8 × 47 = 376
Therefore, the positive factor pairs of 376 are: (1, 376), (2, 188), (4, 94), (8, 47). For every positive factor, there is a negative factor.
Dividing the given numbers with the 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 the simple division method
Step 1: Divide 376 by 1, 376 ÷ 1 = 376.
Step 2: Continue dividing 376 by the numbers until the remainder becomes 0.
376 ÷ 1 = 376
376 ÷ 2 = 188
376 ÷ 4 = 94
376 ÷ 8 = 47
Therefore, the factors of 376 are: 1, 2, 4, 8, 47, 94, 188, 376.
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 376 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
376 ÷ 2 = 188
188 ÷ 2 = 94
94 ÷ 2 = 47
47 ÷ 47 = 1
The prime factors of 376 are 2 and 47.
The prime factorization of 376 is: 2³ × 47.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 376 is divided by 2 to get 188.
Step 2: Now divide 188 by 2 to get 94.
Step 3: Then divide 94 by 2 to get 47. 47 is a prime number and cannot be divided further.
So, the prime factorization of 376 is: 2³ × 47.
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 376: (1, 376), (2, 188), (4, 94), (8, 47).
Negative factor pairs of 376: (-1, -376), (-2, -188), (-4, -94), (-8, -47).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 8 people received a donation of $376. How much does each person get if it's divided equally?
Each person will get $47.
To divide the donation equally, we need to divide the total amount by the number of people.
376/8 = 47
A rectangular garden has a length of 4 meters and a total area of 376 square meters. Find the width.
94 meters.
To find the width of the garden, we use the formula,
Area = length × width
376 = 4 × width
376/4 = width
Width = 94.
There are 47 bicycles, and each needs to be assembled with 8 parts. What is the total number of parts needed?
376 parts are needed.
To find the total number of parts, multiply the number of bicycles by the number of parts per bicycle.
47 × 8 = 376
A school has 94 students, and they are divided equally into 2 classes. How many students are in each class?
There are 47 students in each class.
Dividing the students by the total number of classes gives the number of students in each class.
94/2 = 47
There is a bookshelf with 188 books that needs to be arranged in 4 equal rows. How many books will be in each row?
Each row will have 47 books.
Divide the total number of books by the number of rows.
188/4 = 47
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.