119 LearnersLast updated on May 26th, 2025
Factors of 1654
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1654, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1654?
The numbers that divide 1654 evenly are known as factors of 1654. A factor of 1654 is a number that divides the number without remainder. The factors of 1654 are 1, 2, 827, and 1654. Negative factors of 1654: -1, -2, -827, and -1654. Prime factors of 1654: 2 and 827. Prime factorization of 1654: 2 × 827. The sum of factors of 1654: 1 + 2 + 827 + 1654 = 2484
How to Find Factors of 1654?
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 1654. Identifying the numbers which are multiplied to get the number 1654 is the multiplication method. Step 1: Multiply 1654 by 1, 1654 × 1 = 1654. Step 2: Check for other numbers that give 1654 after multiplying 2 × 827 = 1654 Therefore, the positive factor pairs of 1654 are: (1, 1654) and (2, 827). All these factor pairs result in 1654. 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 a whole number as factors. Factors can be calculated by following a simple division method - Step 1: Divide 1654 by 1, 1654 ÷ 1 = 1654. Step 2: Continue dividing 1654 by the numbers until the remainder becomes 0. 1654 ÷ 1 = 1654 1654 ÷ 2 = 827 Therefore, the factors of 1654 are: 1, 2, 827, and 1654.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1654 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1654 ÷ 2 = 827 827 is a prime number, so we cannot factor it further. The prime factors of 1654 are 2 and 827. The prime factorization of 1654 is: 2 × 827.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show - Step 1: Firstly, 1654 is divided by 2 to get 827. Step 2: 827 is a prime number and cannot be divided further. So, the prime factorization of 1654 is: 2 × 827. 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 1654: (1, 1654) and (2, 827). Negative factor pairs of 1654: (-1, -1654) and (-2, -827).
Common Mistakes and How to Avoid Them in Factors of 1654
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 1654, 1 and 1654 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 1654 consist of -1, -2, -827, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor. For example, thinking 3.5 as a factor, because 1654/3.5 = 472.5714, 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 1654 are prime numbers. For example, 2 and 827 are the prime factors of 1654, but it has other factors like 1 and 1654.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1654 as 2 × 827 and missing all the key factors.
Factors of 1654 Examples
Problem 1
There are 4 teams and 1654 players. How will they divide the players equally?
They will get 413 players each.
Explanation
To divide the players equally, we need to divide the total number of players by the number of teams. 1654/4 = 413
Problem 2
A billboard is rectangular, the height of the billboard is 2 meters and the total area is 1654 square meters. Find the width?
827 meters.
Explanation
To find the width of the billboard, we use the formula, Area = height × width 1654 = 2 × width To find the value of width, we need to divide 1654 by 2. 1654/2 = width Width = 827.
Problem 3
There are 827 bags and 1654 candies. How many candies will be in each bag?
Each bag will have 2 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags. 1654/827 = 2
Problem 4
In a class, there are 1654 students, and 2 sections. How many students are there in each section?
There are 827 students in each section.
Explanation
Dividing the students by the total sections, we will get the number of students in each section. 1654/2 = 827
Problem 5
1654 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 827 books.
Explanation
Divide total books by the number of shelves. 1654/2 = 827
FAQs on Factors of 1654
1.What are the factors of 1654?
2.Mention the prime factors of 1654.
3.Is 1654 a multiple of 2?
4.Mention the factor pairs of 1654?
5.What is the square of 1654?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1654?
7.What are some fun ways kids in Thailand can practice Factors of 1654 with numbers?
8.What role do numbers and Factors of 1654 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1654 skills?
Important Glossaries for Factors of 1654
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1654 are 1, 2, 827, and 1654. Prime factors: The factors which are prime numbers. For example, 2 and 827 are prime factors of 1654. 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 1654 are (1, 1654) and (2, 827). Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to the original number. For example, 2 × 827 = 1654. Prime factorization: The process of breaking down a number into the product of its prime factors. For example, the prime factorization of 1654 is 2 × 827.
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About BrightChamps in Thailand
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.
