101 LearnersLast updated on May 27th, 2025
Factors of 674
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 674, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 674?
The numbers that divide 674 evenly are known as factors of 674.
A factor of 674 is a number that divides the number without remainder.
The factors of 674 are 1, 2, 337, and 674.
Negative factors of 674: -1, -2, -337, and -674.
Prime factors of 674: 2 and 337.
Prime factorization of 674: 2 × 337.
The sum of factors of 674: 1 + 2 + 337 + 674 = 1014
How to Find Factors of 674?
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 674. Identifying the numbers which are multiplied to get the number 674 is the multiplication method.
Step 1: Multiply 674 by 1, 674 × 1 = 674.
Step 2: Check for other numbers that give 674 after multiplying
2 × 337 = 674
Therefore, the positive factor pairs of 674 are: (1, 674), (2, 337).
All these factor pairs result in 674.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 674 by 1, 674 ÷ 1 = 674.
Step 2: Continue dividing 674 by the numbers until the remainder becomes 0.
674 ÷ 1 = 674
674 ÷ 2 = 337
Therefore, the factors of 674 are: 1, 2, 337, 674.
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 674 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
674 ÷ 2 = 337
337 ÷ 337 = 1
The prime factors of 674 are 2 and 337.
The prime factorization of 674 is: 2 × 337.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 674 is divided by 2 to get 337.
Step 2: Here, 337 is a prime number and cannot be divided anymore. So, the prime factorization of 674 is: 2 × 337.
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 674: (1, 674), (2, 337).
Negative factor pairs of 674: (-1, -674), (-2, -337).
Common Mistakes and How to Avoid Them in Factors of 674
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 674, 1 and 674 is also a factor.
Factors of 674 Examples
Problem 1
There are 2 baskets and 674 apples. How will they divide it equally?
They will get 337 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
674/2 = 337
Problem 2
A ribbon is 674 cm long and needs to be cut into pieces of 2 cm each. How many pieces will be there?
337 pieces.
Explanation
To find the number of pieces, we divide the total length of the ribbon by the length of each piece.
674/2 = 337
Problem 3
There are 674 marbles and 337 boxes. How many marbles will be in each box?
Each box will have 2 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
674/337 = 2
Problem 4
In a race, 674 participants are to be grouped into teams of 2. How many teams will be formed?
337 teams will be formed.
Explanation
Dividing the participants by the number of people per team, we will get the number of teams.
674/2 = 337
Problem 5
A library has 674 books and 1 shelf. How many books will go on the shelf?
The shelf will have 674 books.
Explanation
Divide total books by the number of shelves.
674/1 = 674
FAQs on Factors of 674
1.What are the factors of 674?
2.Mention the prime factors of 674.
3.Is 674 a multiple of 2?
4.Mention the factor pairs of 674?
5.What is the square of 674?
Important Glossaries for Factor of 674
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 674 are 1, 2, 337, and 674.
- Prime factors: The factors which are prime numbers. For example, 2 and 337 are prime factors of 674.
- 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 674 are (1, 674) and (2, 337).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 674 is 2 × 337.
- Multiple: A number that can be divided by another number without a remainder. For example, 674 is a multiple of 1, 2, 337, and 674.
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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.
