101 LearnersLast updated on May 26th, 2025
Factors of 746
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 746, how they are used in real life, and tips to learn them quickly.
What are the Factors of 746?
The numbers that divide 746 evenly are known as factors of 746.
A factor of 746 is a number that divides the number without a remainder.
The factors of 746 are 1, 2, 373, and 746.
Negative factors of 746: -1, -2, -373, and -746.
Prime factors of 746: 2 and 373.
Prime factorization of 746: 2 × 373.
The sum of factors of 746: 1 + 2 + 373 + 746 = 1122
How to Find Factors of 746?
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 746. Identifying the numbers which are multiplied to get the number 746 is the multiplication method.
Step 1: Multiply 746 by 1, 746 × 1 = 746.
Step 2: Check for other numbers that give 746 after multiplying 2 × 373 = 746
Therefore, the positive factor pairs of 746 are: (1, 746) and (2, 373).
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 the simple division method -
Step 1: Divide 746 by 1, 746 ÷ 1 = 746.
Step 2: Continue dividing 746 by the numbers until the remainder becomes 0.
746 ÷ 1 = 746
746 ÷ 2 = 373
Therefore, the factors of 746 are: 1, 2, 373, and 746.
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 746 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
746 ÷ 2 = 373
373 is a prime number and cannot be divided further.
The prime factors of 746 are 2 and 373.
The prime factorization of 746 is: 2 × 373.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 746 is divided by 2 to get 373. Here, 373 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 746 is: 2 × 373.
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 746: (1, 746) and (2, 373).
Negative factor pairs of 746: (-1, -746) and (-2, -373).
Common Mistakes and How to Avoid Them in Factors of 746
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 746, 1 and 746 are also factors.
Factors of 746 Examples
Problem 1
There are 2 friends and 746 apples. How will they divide it equally?
They will get 373 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
746/2 = 373
Problem 2
A field is rectangular, the length of the field is 2 meters and the total area is 746 square meters. Find the width?
373 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
746 = 2 × width
To find the value of width, we need to shift 2 to the left side.
746/2 = width
Width = 373.
Problem 3
There are 746 marbles and 373 bags. How many marbles will be in each bag?
Each bag will have 2 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
746/373 = 2
Problem 4
In a class, there are 746 students, and 2 groups. How many students are there in each group?
There are 373 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
746/2 = 373
Problem 5
746 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 373 books.
Explanation
Divide total books with shelves.
746/2 = 373
FAQs on Factors of 746
1.What are the factors of 746?
2.Mention the prime factors of 746.
3.Is 746 a multiple of 2?
4.Mention the factor pairs of 746?
5.What is the square of 746?
6.How can children in Australia use numbers in everyday life to understand Factors of 746?
7.What are some fun ways kids in Australia can practice Factors of 746 with numbers?
8.What role do numbers and Factors of 746 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 746 skills?
Important Glossaries for Factors of 746
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 746 are 1, 2, 373, and 746.
- Prime factors: The factors which are prime numbers. For example, 2 and 373 are prime factors of 746.
- 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 746 are (1, 746) and (2, 373).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 373 is a prime number.
- Multiple: A number that can be divided by another number without a remainder. For example, 746 is a multiple of 2.
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About BrightChamps in Australia
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.
