147 LearnersLast updated on May 26th, 2025
Factors of 974
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 974, how they are used in real life, and tips to learn them quickly.
What are the Factors of 974?
The numbers that divide 974 evenly are known as factors of 974.
A factor of 974 is a number that divides the number without remainder.
The factors of 974 are 1, 2, 487, and 974.
Negative factors of 974: -1, -2, -487, and -974.
Prime factors of 974: 2 and 487.
Prime factorization of 974: 2 × 487.
The sum of factors of 974: 1 + 2 + 487 + 974 = 1464
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How to Find Factors of 974?
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 974. Identifying the numbers which are multiplied to get the number 974 is the multiplication method.
Step 1: Multiply 974 by 1, 974 × 1 = 974.
Step 2: Check for other numbers that give 974 after multiplying
2 × 487 = 974
Therefore, the positive factor pairs of 974 are: (1, 974) and (2, 487).
All these factor pairs result in 974.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 974 by 1, 974 ÷ 1 = 974.
Step 2: Continue dividing 974 by the numbers until the remainder becomes 0.
974 ÷ 1 = 974
974 ÷ 2 = 487
Therefore, the factors of 974 are: 1, 2, 487, 974.
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 974 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
974 ÷ 2 = 487
487 is already prime, so the prime factors of 974 are 2 and 487.
The prime factorization of 974 is: 2 × 487.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 974 is divided by 2 to get 487. Here, 487 is a prime number, so it cannot be divided further. So, the prime factorization of 974 is: 2 × 487.
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 974: (1, 974) and (2, 487).
Negative factor pairs of 974: (-1, -974) and (-2, -487).
Common Mistakes and How to Avoid Them in Factors of 974
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 974, 1 and 974 are also factors.
Mistake 2
Missing Negative Factors
We have used only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 974 consist of -1, -2, 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 974/1.5 = 649.333, 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 974 are prime numbers.
For example, 2 and 487 are the prime factors of 974, but it has other factors like 1, 974.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 974 as 2 × 487 and missing all the key factors.
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Factors of 974 Examples
Problem 1
There are 974 apples to be packed into boxes of 2 each. How many boxes can be filled?
487 boxes can be filled.
Explanation
To find the number of boxes, divide the total apples by the apples per box.
974/2 = 487
Problem 2
A piece of cloth is 974 meters long and needs to be cut into 487 equal parts. What is the length of each part?
Each part will be 2 meters long.
Explanation
To find the length of each part, divide the total length by the number of parts.
974/487 = 2
Problem 3
There are 487 chairs and 2 rows. How many chairs will be there in each row?
Each row will have 243.5 chairs, but since chairs can't be half, the arrangement needs adjusting.
Explanation
To find chairs in each row, divide the total chairs by the number of rows.
487/2 = 243.5
Problem 4
A factory produces 974 widgets and needs to pack them into 1 box. How many widgets does each box contain?
The box contains all 974 widgets.
Explanation
Since we are packing all widgets into one box, it contains 974 widgets.
Problem 5
In a library, there are 2 sections and 974 books. How many books are there in each section?
Each section has 487 books.
Explanation
To distribute the books evenly, divide the total books by the number of sections.
974/2 = 487
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FAQs on Factors of 974
1.What are the factors of 974?
2.Mention the prime factors of 974.
3.Is 974 a multiple of 487?
4.Mention the factor pairs of 974?
5.What is the square of 974?
6.How can children in Qatar use numbers in everyday life to understand Factors of 974?
7.What are some fun ways kids in Qatar can practice Factors of 974 with numbers?
8.What role do numbers and Factors of 974 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 974 skills?
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Important Glossaries for Factors of 974
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 974 are 1, 2, 487, and 974.
- Prime factors: The factors which are prime numbers. For example, 2 and 487 are prime factors of 974.
- 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 974 are (1, 974) and (2, 487).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 974 is 2 × 487.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 974 is a multiple of 487.
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About BrightChamps in Qatar
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.
