103 LearnersLast updated on May 26th, 2025
Factors of 741
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 741, how they are used in real life, and tips to learn them quickly.
What are the Factors of 741?
The numbers that divide 741 evenly are known as factors of 741.
A factor of 741 is a number that divides the number without remainder.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741.
Negative factors of 741: -1, -3, -13, -19, -39, -57, -247, and -741.
Prime factors of 741: 3, 13, and 19.
Prime factorization of 741: 3 × 13 × 19.
The sum of factors of 741: 1 + 3 + 13 + 19 + 39 + 57 + 247 + 741 = 1,120
How to Find Factors of 741?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 741. Identifying the numbers which are multiplied to get the number 741 is the multiplication method.
Step 1: Multiply 741 by 1, 741 × 1 = 741.
Step 2: Check for other numbers that give 741 after multiplying
3 × 247 = 741
13 × 57 = 741
19 × 39 = 741
Therefore, the positive factor pairs of 741 are: (1, 741), (3, 247), (13, 57), (19, 39).
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 741 by 1, 741 ÷ 1 = 741.
Step 2: Continue dividing 741 by the numbers until the remainder becomes 0.
741 ÷ 1 = 741
741 ÷ 3 = 247
741 ÷ 13 = 57
741 ÷ 19 = 39
Therefore, the factors of 741 are: 1, 3, 13, 19, 39, 57, 247, 741.
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 741 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
741 ÷ 3 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
The prime factors of 741 are 3, 13, and 19.
The prime factorization of 741 is: 3 × 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 741 is divided by 3 to get 247.
Step 2: Now divide 247 by 13 to get 19.
Step 3: Divide 19 by 19 to get 1. Here, 19 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 741 is: 3 × 13 × 19.
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 741: (1, 741), (3, 247), (13, 57), (19, 39).
Negative factor pairs of 741: (-1, -741), (-3, -247), (-13, -57), (-19, -39).
Common Mistakes and How to Avoid Them in Factors of 741
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 741, 1 and 741 are also factors.
Factors of 741 Examples
Problem 1
There are 3 teams and 741 points. How will the points be distributed equally?
Each team will get 247 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
741/3 = 247
Problem 2
A garden is rectangular, the length of the garden is 13 meters, and the total area is 741 square meters. Find the width?
57 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 741 = 13 × width
To find the value of width, we need to shift 13 to the left side.
741/13 = width
Width = 57.
Problem 3
There are 39 baskets and 741 apples. How many apples will be in each basket?
Each basket will have 19 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
741/39 = 19
Problem 4
In a class, there are 741 students, and 57 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.
741/57 = 13
Problem 5
741 seats need to be arranged in 19 rows. How many seats will go in each row?
Each row has 39 seats.
Explanation
Divide total seats by rows.
741/19 = 39
FAQs on Factors of 741
1.What are the factors of 741?
2.Mention the prime factors of 741.
3.Is 741 a multiple of 3?
4.Mention the factor pairs of 741?
5.What is the square of 741?
6.How can children in Oman use numbers in everyday life to understand Factors of 741?
7.What are some fun ways kids in Oman can practice Factors of 741 with numbers?
8.What role do numbers and Factors of 741 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 741 skills?
Important Glossaries for Factor of 741
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 741 are 1, 3, 13, 19, 39, 57, 247, and 741.
- Prime factors: The factors which are prime numbers. For example, 3, 13, and 19 are prime factors of 741.
- 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 741 are (1, 741), (3, 247), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 741 is 3 × 13 × 19.
- Negative factors: The negative counterparts of the positive factors. For example, negative factors of 741 include -1, -3, -13, etc.
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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.
