120 LearnersLast updated on May 26th, 2025
Factors of 1714
Factors are 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 1714, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1714?
The numbers that divide 1714 evenly are known as factors of 1714.
A factor of 1714 is a number that divides the number without remainder.
The factors of 1714 are 1, 2, 857, and 1714.
Negative factors of 1714: -1, -2, -857, and -1714.
Prime factors of 1714: 2 and 857.
Prime factorization of 1714: 2 × 857.
The sum of factors of 1714: 1 + 2 + 857 + 1714 = 2574
How to Find Factors of 1714?
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 1714. Identifying the numbers that are multiplied to get the number 1714 is the multiplication method.
Step 1: Multiply 1714 by 1, 1714 × 1 = 1714.
Step 2: Check for other numbers that give 1714 after multiplying 2 × 857 = 1714
Therefore, the positive factor pairs of 1714 are: (1, 1714) and (2, 857).
All these factor pairs result in 1714.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1714 by 1, 1714 ÷ 1 = 1714.
Step 2: Continue dividing 1714 by numbers until the remainder becomes 0.
1714 ÷ 1 = 1714
1714 ÷ 2 = 857
Therefore, the factors of 1714 are: 1, 2, 857, and 1714.
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 1714 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1714 ÷ 2 = 857
857 ÷ 857 = 1
The prime factors of 1714 are 2 and 857.
The prime factorization of 1714 is: 2 × 857.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1714 is divided by 2 to get 857.
Step 2: Now, divide 857 by 857 to get 1. Here, 857 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1714 is: 2 × 857.
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 1714: (1, 1714) and (2, 857).
Negative factor pairs of 1714: (-1, -1714) and (-2, -857).
Common Mistakes and How to Avoid Them in Factors of 1714
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 1714, 1 and 1714 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 1714 consist of -1, -2, -857, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1714/1.5 = 1142.666..., 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 1714 are prime numbers.
For example, 2 and 857 are the prime factors of 1714, but it has other factors like 1, 1714.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1714 as 2 × 857 and missing all the key factors.
Factors of 1714 Examples
Problem 1
A company has 1714 promotional items, and they want to distribute them equally among 2 branches. How many items will each branch receive?
Each branch will receive 857 items.
Explanation
To divide the items equally, we need to divide the total items by the number of branches.
1714/2 = 857
Problem 2
A rectangular park has an area of 1714 square meters. If the length of the park is 857 meters, find the width.
2 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
1714 = 857 × width
To find the value of width, we need to shift 857 to the left side.
1714/857 = width
Width = 2.
Problem 3
A company buys 1714 units of a product and wants to store them in 857 boxes. How many units will each box contain?
Each box will contain 2 units.
Explanation
To find the units in each box, divide the total units by the number of boxes.
1714/857 = 2
Problem 4
A concert hall has 1714 seats, and there are 2 sections. How many seats are there in each section?
There are 857 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1714/2 = 857
Problem 5
A library has 1714 books and wants to distribute them equally on 2 shelves. How many books will go on each shelf?
Each of the shelves has 857 books.
Explanation
Divide total books by shelves.
1714/2 = 857
FAQs on Factors of 1714
1.What are the factors of 1714?
2.Mention the prime factors of 1714.
3.Is 1714 a multiple of 2?
4.Mention the factor pairs of 1714?
5.What is the square of 1714?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1714?
7.What are some fun ways kids in Qatar can practice Factors of 1714 with numbers?
8.What role do numbers and Factors of 1714 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1714 skills?
Important Glossaries for Factor of 1714
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1714 are 1, 2, 857, and 1714.
- Prime factors: The factors which are prime numbers. For example, 2 and 857 are prime factors of 1714.
- 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 1714 are (1, 1714) and (2, 857).
- Prime factorization: The process of expressing a number as the product of its prime factors, such as 1714 = 2 × 857.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to yield the original number. For example, pairs for 1714 are (1, 1714) and (2, 857).
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About BrightChamps in Qatar
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.
