Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the items equally, we need to divide the total items by the number of branches.
1714/2 = 857
A rectangular park has an area of 1714 square meters. If the length of the park is 857 meters, find the width.
2 meters.
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.
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.
To find the units in each box, divide the total units by the number of boxes.
1714/857 = 2
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.
Dividing the seats by the total sections, we will get the number of seats in each section.
1714/2 = 857
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.
Divide total books by shelves.
1714/2 = 857
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.
: She loves to read number jokes and games.