100 LearnersLast updated on May 26th, 2025
Factors of 1474
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 1474, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1474?
The numbers that divide 1474 evenly are known as factors of 1474.
A factor of 1474 is a number that divides the number without remainder.
The factors of 1474 are 1, 2, 737, and 1474.
Negative factors of 1474: -1, -2, -737, and -1474.
Prime factors of 1474: 2 and 737.
Prime factorization of 1474: 2 × 737.
The sum of factors of 1474: 1 + 2 + 737 + 1474 = 2214
How to Find Factors of 1474?
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 1474. Identifying the numbers which are multiplied to get the number 1474 is the multiplication method.
Step 1: Multiply 1474 by 1, 1474 × 1 = 1474.
Step 2: Check for other numbers that give 1474 after multiplying 2 × 737 = 1474
Therefore, the positive factor pairs of 1474 are: (1, 1474) and (2, 737).
All these factor pairs result in 1474.
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 resulting in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1474 by 1, 1474 ÷ 1 = 1474.
Step 2: Continue dividing 1474 by the numbers until the remainder becomes 0.
1474 ÷ 1 = 1474
1474 ÷ 2 = 737
Therefore, the factors of 1474 are: 1, 2, 737, and 1474.
Prime Factors and Prime Factorization
The factors can be found by dividing them with a prime number. 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 1474 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1474 ÷ 2 = 737
737 ÷ 737 = 1
The prime factors of 1474 are 2 and 737.
The prime factorization of 1474 is: 2 × 737.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1474 is divided by 2 to get 737.
Step 2: 737 is a prime number and cannot be divided further.
So, the prime factorization of 1474 is: 2 × 737.
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 1474: (1, 1474) and (2, 737).
Negative factor pairs of 1474: (-1, -1474) and (-2, -737).
Common Mistakes and How to Avoid Them in Factors of 1474
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 1474, 1 and 1474 are also factors.
Factors of 1474 Examples
Problem 1
There are 14 students and 1474 candies. How will they divide them equally?
They cannot divide the candies equally.
Explanation
1474 is not divisible by 14, hence the candies cannot be distributed equally.
Problem 2
A rectangular garden has a length of 737 meters and a total area of 1474 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1474 = 737 × width
To find the value of the width, we divide the area by the length.
1474/737 = width
Width = 2.
Problem 3
There are 1474 pages in a book and it needs to be divided into 737 chapters. How many pages will be in each chapter?
Each chapter will have 2 pages.
Explanation
To find the pages in each chapter, divide the total pages by the chapters.
1474/737 = 2
Problem 4
In a workshop, there are 1474 parts and 2 machines. How many parts will each machine handle?
Each machine will handle 737 parts.
Explanation
Dividing the parts by the total machines, we will get the number of parts each machine will handle.
1474/2 = 737
Problem 5
A company ordered 1474 units of a product to be packed in 737 boxes. How many units will go in each box?
Each box will have 2 units.
Explanation
Divide total units by boxes.
1474/737 = 2
FAQs on Factors of 1474
1.What are the factors of 1474?
2.Mention the prime factors of 1474.
3.Is 1474 a multiple of 2?
4.Mention the factor pairs of 1474.
5.What is the square of 1474?
Important Glossaries for Factors of 1474
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1474 are 1, 2, 737, and 1474.
- Prime factors: The factors which are prime numbers. For example, 2 and 737 are prime factors of 1474.
- 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 1474 are (1, 1474) and (2, 737).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1474 is 2 × 737.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
