124 LearnersLast updated on May 26th, 2025
Factors of 377
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 377, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 377?
The numbers that divide 377 evenly are known as factors of 377. A factor of 377 is a number that divides the number without remainder.
The factors of 377 are 1, 13, 29, and 377.
Negative factors of 377: -1, -13, -29, and -377.
Prime factors of 377: 13 and 29.
Prime factorization of 377: 13 × 29.
The sum of factors of 377: 1 + 13 + 29 + 377 = 420
How to Find Factors of 377?
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 377. Identifying the numbers which are multiplied to get the number 377 is the multiplication method.
Step 1: Multiply 377 by 1, 377 × 1 = 377.
Step 2: Check for other numbers that give 377 after multiplying
13 × 29 = 377
Therefore, the positive factor pairs of 377 are: (1, 377) and (13, 29). All these factor pairs result in 377. 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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 377 by 1, 377 ÷ 1 = 377.
Step 2: Continue dividing 377 by the numbers until the remainder becomes 0.
377 ÷ 1 = 377
377 ÷ 13 = 29
Therefore, the factors of 377 are: 1, 13, 29, 377.
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 377 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
377 ÷ 13 = 29
29 ÷ 29 = 1
The prime factors of 377 are 13 and 29.
The prime factorization of 377 is: 13 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 377 is divided by 13 to get 29.
Step 2: Now divide 29 by 29 to get 1. Here, both 13 and 29 are prime numbers, and they cannot be divided anymore. So, the prime factorization of 377 is: 13 × 29.
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 377: (1, 377) and (13, 29).
Negative factor pairs of 377: (-1, -377) and (-13, -29).
Common Mistakes and How to Avoid Them in Factors of 377
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 number. Always remember to include 1 and the number itself.
For example, in factors of 377, 1 and 377 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 377 consist of -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 377/1.5 = 251.333, 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 377 are prime numbers. For example, 13 and 29 are the prime factors of 377, but it has other factors like 1 and 377.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 377 as 13 × 29 and missing all the key factors.
Factors of 377 Examples
Problem 1
There are 13 teams and 377 points. How will they divide it equally?
They will get 29 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
377/13 = 29
Problem 2
A banner is rectangular, the length of the banner is 13 meters and the total area is 377 square meters. Find the width?
29 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
377 = 13 × width
To find the value of width, we need to shift 13 to the left side
. 377/13 = width
Width = 29.
Problem 3
There are 29 boxes and 377 marbles. How many marbles will be in each box?
Each box will have 13 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
377/29 = 13
Problem 4
In a class, there are 377 students, and 29 groups. How many students are there in each group?
There are 13 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
377/29 = 13
Problem 5
377 chairs need to be arranged in 13 rows. How many chairs will go in each row?
Each of the rows has 29 chairs.
Explanation
Divide total chairs by rows.
377/13 = 29
FAQs on Factors of 377
1.What are the factors of 377?
2.Mention the prime factors of 377.
3.Is 377 a multiple of 13?
4.Mention the factor pairs of 377?
5.What is the square of 377?
6.How can children in United States use numbers in everyday life to understand Factors of 377?
7.What are some fun ways kids in United States can practice Factors of 377 with numbers?
8.What role do numbers and Factors of 377 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 377 skills?
Important Glossaries for Factor of 377
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 377 are 1, 13, 29, and 377.
- Prime factors: The factors which are prime numbers. For example, 13 and 29 are prime factors of 377.
- 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 377 are (1, 377) and (13, 29).
- Prime factorization: Breaking down a number into its prime factors. For example, 377 can be factorized as 13 × 29.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 377 is a multiple of 13.
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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.
