100 LearnersLast updated on May 26th, 2025
Factors of 1676
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 1676, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1676?
The numbers that divide 1676 evenly are known as factors of 1676.
A factor of 1676 is a number that divides the number without remainder.
The factors of 1676 are 1, 2, 4, 419, 838, and 1676.
Negative factors of 1676: -1, -2, -4, -419, -838, and -1676.
Prime factors of 1676: 2 and 419.
Prime factorization of 1676: 22 × 419.
The sum of factors of 1676: 1 + 2 + 4 + 419 + 838 + 1676 = 2940
How to Find Factors of 1676?
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 1676. Identifying the numbers which are multiplied to get the number 1676 is the multiplication method.
Step 1: Multiply 1676 by 1, 1676 × 1 = 1676.
Step 2: Check for other numbers that give 1676 after multiplying
2 × 838 = 1676
4 × 419 = 1676
Therefore, the positive factor pairs of 1676 are: (1, 1676), (2, 838), and (4, 419). All these factor pairs result in 1676.
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 a simple division method
Step 1: Divide 1676 by 1, 1676 ÷ 1 = 1676.
Step 2: Continue dividing 1676 by the numbers until the remainder becomes 0.
1676 ÷ 1 = 1676
1676 ÷ 2 = 838
1676 ÷ 4 = 419
Therefore, the factors of 1676 are: 1, 2, 4, 419, 838, 1676.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1676 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1676 ÷ 2 = 838
838 ÷ 2 = 419
419 is a prime number.
The prime factors of 1676 are 2 and 419.
The prime factorization of 1676 is: 22 × 419.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1676 is divided by 2 to get 838.
Step 2: Now divide 838 by 2 to get 419. Here, 419 is a prime number and cannot be divided anymore. So, the prime factorization of 1676 is: 22 × 419.
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 1676: (1, 1676), (2, 838), and (4, 419).
Negative factor pairs of 1676: (-1, -1676), (-2, -838), and (-4, -419).
Common Mistakes and How to Avoid Them in Factors of 1676
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
Mistake 1
Forgetting the number itself and 1 as a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1676, 1 and 1676 are also factors.
Factors of 1676 Examples
Problem 1
There are 4 teams and 1676 points. How will they distribute the points equally?
Each team will receive 419 points.
Explanation
To distribute the points equally, divide the total points by the number of teams. 1676/4 = 419
Problem 2
A rectangular garden has a length of 419 meters and a total area of 1676 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1676 = 419 × width
To find the value of width, divide 1676 by 419.
1676/419 = width
Width = 4
Problem 3
There are 838 marbles and 2 boxes. How many marbles will be in each box?
Each box will have 419 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
838/2 = 419
Problem 4
In a class, there are 1676 students, and 2 programs. How many students are there in each program?
There are 838 students in each program.
Explanation
Dividing the students by the total programs, we will get the number of students in each program.
1676/2 = 838
Problem 5
1676 books need to be arranged in 838 shelves. How many books will go on each shelf?
Each shelf has 2 books.
Explanation
Divide total books by shelves.
1676/838 = 2
FAQs on Factors of 1676
1.What are the factors of 1676?
2.Mention the prime factors of 1676.
3.Is 1676 a multiple of 2?
4.Mention the factor pairs of 1676?
5.What is the square of 1676?
Important Glossaries for Factor of 1676
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1676 are 1, 2, 4, 419, 838, and 1676.
- Prime factors: The factors that are prime numbers. For example, 2 and 419 are prime factors of 1676.
- 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 1676 are (1, 1676), (2, 838), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1676 is 22 × 419.
- Multiple: A number that can be divided by another number without a remainder. For example, 1676 is a multiple of 2.
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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.
