121 LearnersLast updated on May 26th, 2025
Factors of 1677
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 1677, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1677?
The numbers that divide 1677 evenly are known as factors of 1677.
A factor of 1677 is a number that divides the number without a remainder.
The factors of 1677 are 1, 3, 559, and 1677.
Negative factors of 1677: -1, -3, -559, and -1677.
Prime factors of 1677: 3 and 559.
Prime factorization of 1677: 3 × 559.
The sum of factors of 1677: 1 + 3 + 559 + 1677 = 2240
How to Find Factors of 1677?
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 1677. Identifying the numbers which are multiplied to get the number 1677 is the multiplication method.
Step 1: Multiply 1677 by 1, 1677 × 1 = 1677.
Step 2: Check for other numbers that give 1677 after multiplying 3 × 559 = 1677
Therefore, the positive factor pairs of 1677 are: (1, 1677) and (3, 559). All these factor pairs result in 1677.
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 1677 by 1, 1677 ÷ 1 = 1677.
Step 2: Continue dividing 1677 by the numbers until the remainder becomes 0.
1677 ÷ 1 = 1677
1677 ÷ 3 = 559
Therefore, the factors of 1677 are: 1, 3, 559, 1677.
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 factor tree
Using Prime Factorization: In this process, prime factors of 1677 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1677 ÷ 3 = 559
559 is a prime number, so we cannot break it down further using prime factorization.
The prime factors of 1677 are 3 and 559.
The prime factorization of 1677 is: 3 × 559.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Divide 1677 by 3 to get 559. Here, 559 is a prime number and cannot be divided further. So, the prime factorization of 1677 is: 3 × 559.
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 1677: (1, 1677) and (3, 559).
Negative factor pairs of 1677: (-1, -1677) and (-3, -559).
Common Mistakes and How to Avoid Them in Factors of 1677
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1677, 1 and 1677 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1677 include -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1677/1.5 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 1677 are prime numbers. For example, 3 and 559 are the prime factors of 1677, but it has other factors like 1 and 1677.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not identifying 3 × 559 correctly and missing key factors.
Factors of 1677 Examples
Problem 1
There are 1677 apples and 3 baskets. How will you distribute them equally?
Each basket will get 559 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1677 ÷ 3 = 559
Problem 2
A garden is rectangular, the width of the garden is 3 meters, and the total area is 1677 square meters. Find the length.
559 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width
1677 = length × 3
To find the value of length, we need to shift 3 to the left side.
1677 ÷ 3 = length
Length = 559.
Problem 3
There are 1677 coins and 559 bags. How many coins will be in each bag?
Each bag will have 3 coins.
Explanation
To find the coins in each bag, divide the total coins by the bags.
1677 ÷ 559 = 3
Problem 4
In a class, there are 1677 students, and 3 groups. How many students are there in each group?
There are 559 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1677 ÷ 3 = 559
Problem 5
1677 books need to be arranged in 559 shelves. How many books will go on each shelf?
Each of the shelves has 3 books.
Explanation
Divide total books by shelves.
1677 ÷ 559 = 3
FAQs on Factors of 1677
1.What are the factors of 1677?
2.Mention the prime factors of 1677.
3.Is 1677, a multiple of 3?
4.Mention the factor pairs of 1677?
5.What is the square of 1677?
6.How can children in United States use numbers in everyday life to understand Factors of 1677?
7.What are some fun ways kids in United States can practice Factors of 1677 with numbers?
8.What role do numbers and Factors of 1677 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1677 skills?
Important Glossaries for Factor of 1677
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1677 are 1, 3, 559, and 1677.
- Prime factors: The factors which are prime numbers. For example, 3 and 559 are prime factors of 1677.
- 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 1677 are (1, 1677) and (3, 559).
- Prime factorization: The process of breaking down a number into its prime factors. For example, 1677 = 3 × 559.
- Negative factors: These are the negative counterparts of the positive factors. For example, the negative factors of 1677 are -1, -3, -559, and -1677.
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About BrightChamps in United States
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.
