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 1719, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1719 evenly are known as factors of 1719.
A factor of 1719 is a number that divides the number without remainder.
The factors of 1719 are 1, 3, 17, 33, 57, 1719.
Negative factors of 1719: -1, -3, -17, -33, -57, -1719.
Prime factors of 1719: 3 and 19.
Prime factorization of 1719: 3 × 19 × 3 × 3.
The sum of factors of 1719: 1 + 3 + 17 + 33 + 57 + 1719 = 1830
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 1719. Identifying the numbers which are multiplied to get the number 1719 is the multiplication method.
Step 1: Multiply 1719 by 1, 1719 × 1 = 1719.
Step 2: Check for other numbers that give 1719 after multiplying
3 × 573 = 1719
17 × 101 = 1719
19 × 90 = 1719
Therefore, the positive factor pairs of 1719 are: (1, 1719), (3, 573), (17, 101), (19, 90).
All these factor pairs result in 1719.
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 1719 by 1, 1719 ÷ 1 = 1719.
Step 2: Continue dividing 1719 by the numbers until the remainder becomes 0.
1719 ÷ 1 = 1719
1719 ÷ 3 = 573
1719 ÷ 17 = 101
1719 ÷ 19 = 90
Therefore, the factors of 1719 are: 1, 3, 17, 33, 57, 1719.
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 1719 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1719 ÷ 3 = 573
573 ÷ 3 = 191
191 ÷ 17 = 11
11 ÷ 11 = 1
The prime factors of 1719 are 3, 19, and 11.
The prime factorization of 1719 is: 3 × 19 × 3 × 3.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1719 is divided by 3 to get 573.
Step 2: Now divide 573 by 3 to get 191.
Step 3: Then divide 191 by 17 to get 11. Here, 11 is a prime number and cannot be divided further. So, the prime factorization of 1719 is: 3 × 19 × 3 × 3.
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 1719: (1, 1719), (3, 573), (17, 101), and (19, 90).
Negative factor pairs of 1719: (-1, -1719), (-3, -573), (-17, -101), and (-19, -90).
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 gardener has 1719 seeds and wants to plant them in 19 rows. How many seeds will each row have?
Each row will have 90 seeds.
To divide the seeds equally, we need to divide the total seeds by the number of rows.
1719/19 = 90
A rectangular garden has an area of 1719 square meters and a width of 17 meters. What is the length of the garden?
The length is 101 meters.
To find the length of the garden, we use the formula:
Area = length × width
1719 = length × 17
To find the value of length, we need to shift 17 to the left side.
1719/17 = length
Length = 101.
A library has 1719 books and wants to arrange them equally on 3 shelves. How many books will each shelf have?
Each shelf will have 573 books.
To find the books on each shelf, divide the total books by the number of shelves.
1719/3 = 573
A teacher has 1719 paper sheets and wants to distribute them among 33 students. How many paper sheets will each student get?
Each student will get 52 paper sheets.
Dividing the paper sheets by the number of students, we will get the number of sheets each student gets.
1719/33 = 52
1719 marbles need to be packed into 57 boxes. How many marbles will go in each box?
Each box will have 30 marbles.
Divide the total marbles by the number of boxes.
1719/57 = 30
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.