101 LearnersLast updated on May 26th, 2025
Factors of 743
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 743, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 743?
The numbers that divide 743 evenly are known as factors of 743.
A factor of 743 is a number that divides the number without remainder.
The factors of 743 are 1 and 743.
Negative factors of 743: -1 and -743.
Prime factors of 743: 743 (since 743 is a prime number).
Prime factorization of 743: 743.
The sum of factors of 743: 1 + 743 = 744
How to Find Factors of 743?
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 743. Identifying the numbers which are multiplied to get the number 743 is the multiplication method.
Step 1: Multiply 743 by 1, 743 × 1 = 743.
Step 2: Check for other numbers that give 743 after multiplying. There are no other pairs since 743 is a prime number.
Therefore, the positive factor pair of 743 is: (1, 743).
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 743 by 1, 743 ÷ 1 = 743.
Step 2: Continue dividing 743 by the numbers until the remainder becomes 0.
743 ÷ 1 = 743
743 ÷ 743 = 1
Therefore, the factors of 743 are: 1, 743.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 743 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
743 is a prime number.
The prime factorization of 743 is: 743.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
Since 743 is a prime number, it cannot be broken down further.
So, the prime factorization of 743 is: 743.
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 743: (1, 743).
Negative factor pairs of 743: (-1, -743).
Common Mistakes and How to Avoid Them in Factors of 743
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 743, 1 and 743 are also factors.
Factors of 743 Examples
Problem 1
There are 743 marbles and 1 basket. How will they distribute it?
They will place all 743 marbles in the single basket.
Explanation
To distribute the marbles, we use the total number of marbles and divide by the number of baskets.
743/1 = 743
Problem 2
A line of 743 meters needs to be divided into equal segments of 1 meter. How many segments will there be?
There will be 743 segments.
Explanation
To find the number of segments, divide the total length by the segment length.
743/1 = 743
Problem 3
A company has 743 employees and needs to form teams with exactly 743 people. How many teams can they form?
They can form 1 team.
Explanation
To find the number of teams, divide the total employees by the team size.
743/743 = 1
Problem 4
A single straight road is 743 meters long. If a car travels the entire road, how many meters will it have traveled?
The car will have traveled 743 meters.
Explanation
The car travels the full length of the road which is 743 meters.
Problem 5
An artist has 743 identical beads and wants to make a single necklace. How many beads will the necklace have?
The necklace will have 743 beads.
Explanation
All beads are used in making the necklace, so it will contain all 743 beads.
FAQs on Factors of 743
1.What are the factors of 743?
2.Is 743 a prime number?
3.Is 743 a multiple of 1?
4.Mention the factor pairs of 743?
5.What is the square of 743?
6.How can children in Oman use numbers in everyday life to understand Factors of 743?
7.What are some fun ways kids in Oman can practice Factors of 743 with numbers?
8.What role do numbers and Factors of 743 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 743 skills?
Important Glossaries for Factor of 743
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 743 are 1 and 743.
- Prime factors: The factors which are prime numbers. For example, 743 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 743 is (1, 743).
- Prime number: A number that has exactly two distinct positive factors: 1 and itself. For example, 743 is a prime number.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 1 × 743 = 743.
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About BrightChamps in Oman
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.
