Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 1716, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1716 evenly are known as factors of 1716.
A factor of 1716 is a number that divides the number without a remainder.
The factors of 1716 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 858, and 1716.
Negative factors of 1716: -1, -2, -3, -4, -6, -9, -12, -13, -18, -26, -27, -36, -39, -52, -54, -78, -108, -117, -156, -234, -351, -468, -702, -858, and -1716.
Prime factors of 1716: 2, 3, and 13.
Prime factorization of 1716: 2² × 3² × 13 × 11.
The sum of factors of 1716: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 13 + 18 + 26 + 27 + 36 + 39 + 52 + 54 + 78 + 108 + 117 + 156 + 234 + 351 + 468 + 702 + 858 + 1716 = 5355
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 1716. Identifying the numbers which are multiplied to get the number 1716 is the multiplication method.
Step 1: Multiply 1716 by 1, 1716 × 1 = 1716.
Step 2: Check for other numbers that give 1716 after multiplying
2 × 858 = 1716
3 × 572 = 1716
4 × 429 = 1716
6 × 286 = 1716
9 × 190 = 1716
12 × 143 = 1716
13 × 132 = 1716
18 × 95 = 1716
26 × 66 = 1716
27 × 63 = 1716
36 × 47 = 1716
Therefore, the positive factor pairs of 1716 are: (1, 1716), (2, 858), (3, 572), (4, 429), (6, 286), (9, 190), (12, 143), (13, 132), (18, 95), (26, 66), (27, 63), and (36, 47).
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 1716 by 1, 1716 ÷ 1 = 1716.
Step 2: Continue dividing 1716 by the numbers until the remainder becomes 0.
1716 ÷ 1 = 1716
1716 ÷ 2 = 858
1716 ÷ 3 = 572
1716 ÷ 4 = 429
1716 ÷ 6 = 286
1716 ÷ 9 = 190
1716 ÷ 12 = 143
1716 ÷ 13 = 132
1716 ÷ 18 = 95
1716 ÷ 26 = 66
1716 ÷ 27 = 63
1716 ÷ 36 = 47
Therefore, the factors of 1716 are: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 858, 1716.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1716 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1716 ÷ 2 = 858
858 ÷ 2 = 429
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 1716 are 2, 3, 11, and 13.
The prime factorization of 1716 is: 2² × 3 × 11 × 13.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1716 is divided by 2 to get 858.
Step 2: Now divide 858 by 2 to get 429.
Step 3: Then divide 429 by 3 to get 143.
Step 4: Divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1716 is: 2² × 3 × 11 × 13.
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 1716: (1, 1716), (2, 858), (3, 572), (4, 429), (6, 286), (9, 190), (12, 143), (13, 132), (18, 95), (26, 66), (27, 63), and (36, 47).
Negative factor pairs of 1716: (-1, -1716), (-2, -858), (-3, -572), (-4, -429), (-6, -286), (-9, -190), (-12, -143), (-13, -132), (-18, -95), (-26, -66), (-27, -63), and (-36, -47).
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 factory has 1716 machines, and the manager wants to divide them equally into 6 departments. How many machines will each department get?
Each department will get 286 machines.
To divide the machines equally, we need to divide the total number of machines by the number of departments.
1716/6 = 286
A field is rectangular, the length of the field is 39 meters and the total area is 1716 square meters. Find the width?
44 meters.
To find the width of the field, we use the formula,
Area = length × width
1716 = 39 × width
To find the value of width, we need to shift 39 to the left side.
1716/39 = width
Width = 44.
There are 18 buses and 1716 passengers. How many passengers will be in each bus?
Each bus will have 95 passengers.
To find the passengers in each bus, divide the total number of passengers with the buses.
1716/18 = 95
In a class, there are 1716 students, and 13 groups. How many students are there in each group?
There are 132 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1716/13 = 132
1716 books need to be arranged in 27 shelves. How many books will go on each shelf?
Each shelf will have 63 books.
Divide the total books by the shelves.
1716/27 = 63
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.