Last updated on May 26th, 2025
Factors are the 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 1712, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1712 evenly are known as factors of 1712.
A factor of 1712 is a number that divides the number without remainder.
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, and 1712.
Negative factors of 1712: -1, -2, -4, -8, -16, -107, -214, -428, -856, and -1712.
Prime factors of 1712: 2 and 107.
Prime factorization of 1712: 24 ×107.
The sum of factors of 1712: 1 + 2 + 4 + 8 + 16 + 107 + 214 + 428 + 856 + 1712 = 3348.
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 1712. Identifying the numbers which are multiplied to get the number 1712 is the multiplication method.
Step 1: Multiply 1712 by 1, 1712 × 1 = 1712.
Step 2: Check for other numbers that give 1712 after multiplying
2 × 856 = 1712
4 × 428 = 1712
8 × 214 = 1712
16 × 107 = 1712
Therefore, the positive factor pairs of 1712 are: (1, 1712), (2, 856), (4, 428), (8, 214), (16, 107).
All these factor pairs result in 1712.
For every positive factor, there is a negative factor.
Dividing the given numbers with the 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 1712 by 1, 1712 ÷ 1 = 1712.
Step 2: Continue dividing 1712 by the numbers until the remainder becomes 0.
1712 ÷ 1 = 1712
1712 ÷ 2 = 856
1712 ÷ 4 = 428
1712 ÷ 8 = 214
1712 ÷ 16 = 107
Therefore, the factors of 1712 are: 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1712 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1712 ÷ 2 = 856
856 ÷ 2 = 428
428 ÷ 2 = 214
214 ÷ 2 = 107
107 is a prime number.
The prime factors of 1712 are 2 and 107.
The prime factorization of 1712 is: 24 × 107.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1712 is divided by 2 to get 856.
Step 2: Now divide 856 by 2 to get 428.
Step 3: Then divide 428 by 2 to get 214.
Step 4: Divide 214 by 2 to get 107. Here, 107 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1712 is: 24 × 107.
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 1712: (1, 1712), (2, 856), (4, 428), (8, 214), and (16, 107).
Negative factor pairs of 1712: (-1, -1712), (-2, -856), (-4, -428), (-8, -214), and (-16, -107).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 16 students and 1712 pages to be read. How many pages will each student read if divided equally?
Each student will read 107 pages.
To divide the pages equally, we need to divide the total pages by the number of students.
1712/16 = 107
A rectangular garden has a length of 107 meters, and the total area is 1712 square meters. Find the width?
16 meters.
To find the width of the garden, we use the formula,
Area = length × width
1712 = 107 × width
To find the value of width, we need to shift 107 to the left side.
1712/107 = width
Width = 16.
There are 8 baskets and 1712 apples. How many apples will be in each basket if divided equally?
Each basket will have 214 apples.
To find the apples in each basket, divide the total apples by the baskets.
1712/8 = 214
In a factory, there are 4 machines that produce 1712 widgets in total. How many widgets does each machine produce?
Each machine produces 428 widgets.
Dividing the total widgets by the number of machines will give the number of widgets each machine produces.
1712/4 = 428
1712 books need to be arranged in 2 large shelves. How many books will go on each shelf?
Each of the shelves has 856 books.
Divide the total books by the number of shelves.
1712/2 = 856
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.