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 1917, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1917 evenly are known as factors of 1917.
A factor of 1917 is a number that divides the number without a remainder.
The factors of 1917 are 1, 3, 639, and 1917.
Negative factors of 1917: -1, -3, -639, and -1917.
Prime factors of 1917: 3 and 213.
Prime factorization of 1917: 3 × 639.
The sum of factors of 1917: 1 + 3 + 639 + 1917 = 2560
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 1917. Identifying the numbers that are multiplied to get the number 1917 is the multiplication method.
Step 1: Multiply 1917 by 1, 1917 × 1 = 1917.
Step 2: Check for other numbers that give 1917 after multiplying: 3 × 639 = 1917
Therefore, the positive factor pairs of 1917 are: (1, 1917), and (3, 639).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1917 by 1, 1917 ÷ 1 = 1917.
Step 2: Continue dividing 1917 by numbers until the remainder becomes 0.
1917 ÷ 1 = 1917
1917 ÷ 3 = 639
Therefore, the factors of 1917 are: 1, 3, 639, 1917.
The factors can be found by dividing with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1917 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1917 ÷ 3 = 639
639 ÷ 3 = 213
213 ÷ 3 = 71
71 ÷ 71 = 1
The prime factors of 1917 are 3 and 71.
The prime factorization of 1917 is: 3 × 3 × 71.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1917 is divided by 3 to get 639.
Step 2: Now divide 639 by 3 to get 213.
Step 3: Then divide 213 by 3 to get 71. Here, 71 is a prime number and cannot be divided anymore. So, the prime factorization of 1917 is: 3 × 3 × 71.
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 1917: (1, 1917) and (3, 639).
Negative factor pairs of 1917: (-1, -1917) and (-3, -639).
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 1917 chairs and wants to distribute them equally among 3 conference rooms. How many chairs will each room receive?
Each room will receive 639 chairs.
To divide the chairs equally, we need to divide the total chairs by the number of rooms.
1917/3 = 639
A rectangular floor has a length of 3 meters and a total area of 1917 square meters. Find the width.
639 meters.
To find the width of the floor, we use the formula, Area = length × width
1917 = 3 × width
To find the value of width, we need to divide by 3.
1917/3 = width
Width = 639.
There are 639 gift boxes and 3 volunteers. How many boxes will each volunteer handle?
Each volunteer will handle 213 boxes.
To find the boxes each volunteer will handle, divide the total boxes by the volunteers.
639/3 = 213
A school has 1917 books, and the books are to be divided equally among 639 students. How many books will each student receive?
Each student will receive 3 books.
Dividing the books by the total number of students, we will get the number of books each student receives.
1917/639 = 3
1917 apples need to be packed into 3 baskets. How many apples will go into each basket?
Each basket will have 639 apples.
Divide the total apples by the number of baskets.
1917/3 = 639
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.