127 LearnersLast updated on May 26th, 2025
Factors of 1754
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 1754, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1754?
The numbers that divide 1754 evenly are known as factors of 1754.
A factor of 1754 is a number that divides the number without remainder.
The factors of 1754 are 1, 2, 877, and 1754.
Negative factors of 1754: -1, -2, -877, and -1754.
Prime factors of 1754: 2 and 877.
Prime factorization of 1754: 2 × 877.
The sum of factors of 1754: 1 + 2 + 877 + 1754 = 2634
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How to Find Factors of 1754?
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 1754. Identifying the numbers which are multiplied to get the number 1754 is the multiplication method.
Step 1: Multiply 1754 by 1, 1754 × 1 = 1754.
Step 2: Check for other numbers that give 1754 after multiplying 2 × 877 = 1754
Therefore, the positive factor pairs of 1754 are: (1, 1754) and (2, 877).
All these factor pairs result in 1754.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1754 by 1, 1754 ÷ 1 = 1754.
Step 2: Continue dividing 1754 by the numbers until the remainder becomes 0.
1754 ÷ 1 = 1754
1754 ÷ 2 = 877
Therefore, the factors of 1754 are: 1, 2, 877, and 1754.
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 1754 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1754 ÷ 2 = 877
877 ÷ 877 = 1
The prime factors of 1754 are 2 and 877.
The prime factorization of 1754 is: 2 × 877.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1754 is divided by 2 to get 877.
Step 2: Now divide 877 by 877 to get 1. Here, 877 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 1754 is: 2 × 877.
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 1754: (1, 1754) and (2, 877).
Negative factor pairs of 1754: (-1, -1754) and (-2, -877).
Common Mistakes and How to Avoid Them in Factors of 1754
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 1754, 1 and 1754 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1754 consist of -1, -2, -877, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1754/1.5 = 1169.333, 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 1754 are prime numbers.
For example, 2 and 877 are the prime factors of 1754, but it has other factors like 1, 1754.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1754 as 2 × 877 and missing all the key factors.
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Factors of 1754 Examples
Problem 1
A group of 2 trucks has a total of 1754 boxes of goods. How many boxes are there in each truck?
Each truck has 877 boxes.
Explanation
To divide the boxes equally, we need to divide the total boxes by the number of trucks.
1754/2 = 877
Problem 2
A garden is rectangular, the width of the garden is 2 meters, and the total area is 1754 square meters. Find the length?
877 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1754 = length × 2
To find the value of length, we need to shift 2 to the left side.
1754/2 = length
Length = 877.
Problem 3
There are 877 books and 2 shelves. How many books will be on each shelf?
Each shelf will have 438 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
877/2 = 438.5 (Note: Corrected to reflect an integer result where possible or explain fractional outcomes)
Problem 4
In a class, there are 1754 students, and they are split into 2 groups. How many students are there in each group?
There are 877 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1754/2 = 877
Problem 5
1754 apples need to be packed in 2 baskets. How many apples will go into each basket?
Each of the baskets has 877 apples.
Explanation
Divide total apples with baskets.
1754/2 = 877
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FAQs on Factors of 1754
1.What are the factors of 1754?
2.Mention the prime factors of 1754.
3.Is 1754 a multiple of 2?
4.Mention the factor pairs of 1754?
5.What is the square of 1754?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1754?
7.What are some fun ways kids in Bahrain can practice Factors of 1754 with numbers?
8.What role do numbers and Factors of 1754 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1754 skills?
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Important Glossaries for Factors of 1754
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1754 are 1, 2, 877, and 1754.
- Prime factors: The factors which are prime numbers. For example, 2 and 877 are prime factors of 1754.
- 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 1754 are (1, 1754) and (2, 877).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1754 is 2 × 877.
- Multiples: The result of multiplying a number by an integer. For example, 1754 is a multiple of 2.
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About BrightChamps in Bahrain
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.
