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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1975, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1975 evenly are known as factors of 1975.
A factor of 1975 is a number that divides the number without a remainder.
The factors of 1975 are 1, 5, 395, and 1975.
Negative factors of 1975: -1, -5, -395, and -1975.
Prime factors of 1975: 5 and 79.
Prime factorization of 1975: 5 × 79.
The sum of factors of 1975: 1 + 5 + 395 + 1975 = 2376
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 1975. Identifying the numbers which are multiplied to get the number 1975 is the multiplication method.
Step 1: Multiply 1975 by 1, 1975 × 1 = 1975.
Step 2: Check for other numbers that give 1975 after multiplying 5 × 395 = 1975
Therefore, the positive factor pairs of 1975 are: (1, 1975) and (5, 395).
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 1975 by 1, 1975 ÷ 1 = 1975.
Step 2: Continue dividing 1975 by the numbers until the remainder becomes 0.
1975 ÷ 1 = 1975
1975 ÷ 5 = 395
Therefore, the factors of 1975 are: 1, 5, 395, 1975.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1975 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1975 ÷ 5 = 395
395 ÷ 5 = 79
79, being a prime number, stops the process here.
The prime factors of 1975 are 5 and 79.
The prime factorization of 1975 is: 5 × 79.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1975 is divided by 5 to get 395.
Step 2: Now divide 395 by 5 to get 79. Since 79 is a prime number, it cannot be divided further. So, the prime factorization of 1975 is: 5 × 79.
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 1975: (1, 1975) and (5, 395).
Negative factor pairs of 1975: (-1, -1975) and (-5, -395).
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 5 committees and 1975 members. How many members will be in each committee?
Each committee will have 395 members.
To divide the members equally, we need to divide the total members by the number of committees.
1975/5 = 395
A rectangular plot has a length of 79 meters and a total area of 1975 square meters. What is the width?
25 meters.
To find the width of the plot, we use the formula,
Area = length × width
1975 = 79 × width
To find the value of width, we need to shift 79 to the left side.
1975/79 = width
Width = 25.
There are 395 packets and 1975 marbles. How many marbles will be in each packet?
Each packet will have 5 marbles.
To find the marbles in each packet, divide the total marbles by the number of packets.
1975/395 = 5
In a class, there are 1975 students, and 5 groups. How many students are there in each group?
There are 395 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
1975/5 = 395
1975 books need to be arranged in 79 shelves. How many books will go on each shelf?
Each of the shelves has 25 books.
Divide total books by shelves.
1975/79 = 25
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.