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 1964, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1964 evenly are known as factors of 1964.
A factor of 1964 is a number that divides the number without remainder.
The factors of 1964 are 1, 2, 4, 491, 982, and 1964.
Negative factors of 1964: -1, -2, -4, -491, -982, and -1964.
Prime factors of 1964: 2 and 491.
Prime factorization of 1964: 2² × 491.
The sum of factors of 1964: 1 + 2 + 4 + 491 + 982 + 1964 = 3444
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 1964. Identifying the numbers which are multiplied to get the number 1964 is the multiplication method.
Step 1: Multiply 1964 by 1, 1964 × 1 = 1964.
Step 2: Check for other numbers that give 1964 after multiplying
2 × 982 = 1964
4 × 491 = 1964
Therefore, the positive factor pairs of 1964 are: (1, 1964), (2, 982), and (4, 491).
All these factor pairs result in 1964.
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 1964 by 1, 1964 ÷ 1 = 1964.
Step 2: Continue dividing 1964 by the numbers until the remainder becomes 0.
1964 ÷ 1 = 1964
1964 ÷ 2 = 982
1964 ÷ 4 = 491
Therefore, the factors of 1964 are: 1, 2, 4, 491, 982, and 1964.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1964 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1964 ÷ 2 = 982
982 ÷ 2 = 491
491 is a prime number, so it cannot be divided further by any number other than 1 and itself.
The prime factors of 1964 are 2 and 491.
The prime factorization of 1964 is: 2² × 491.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1964 is divided by 2 to get 982.
Step 2: Now divide 982 by 2 to get 491. Here, 491 is a prime number that cannot be divided anymore. So, the prime factorization of 1964 is: 2² × 491.
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 1964: (1, 1964), (2, 982), and (4, 491).
Negative factor pairs of 1964: (-1, -1964), (-2, -982), and (-4, -491).
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 2 teams and 1964 points. How will they divide it equally?
They will get 982 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1964/2 = 982
A plot is rectangular, the length of the plot is 491 meters and the total area is 1964 square meters. Find the width?
4 meters.
To find the width of the plot, we use the formula,
Area = length × width
1964 = 491 × width
To find the value of width, we need to shift 491 to the left side.
1964/491 = width
Width = 4.
There are 4 boxes and 1964 candies. How many candies will be in each box?
Each box will have 491 candies.
To find the candies in each box, divide the total candies by the number of boxes.
1964/4 = 491
In a competition, there are 1964 participants, and 491 groups. How many participants are there in each group?
There are 4 participants in each group.
Dividing the participants by the total groups, we will get the number of participants in each group.
1964/491 = 4
1964 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 982 books.
Divide the total books by the number of shelves.
1964/2 = 982
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.