124 LearnersLast updated on May 26th, 2025
Factors of 1975
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.
What are the Factors of 1975?
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
How to Find Factors of 1975?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1975
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1975, 1 and 1975 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1975 consist of -1 and -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 1975/2.5 = 790, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1975 are prime numbers.
For example, 5 and 79 are the prime factors of 1975, but it also has other factors like 395.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1975 as 5 × 79 and missing all the key factors.
Factors of 1975 Examples
Problem 1
There are 5 committees and 1975 members. How many members will be in each committee?
Each committee will have 395 members.
Explanation
To divide the members equally, we need to divide the total members by the number of committees.
1975/5 = 395
Problem 2
A rectangular plot has a length of 79 meters and a total area of 1975 square meters. What is the width?
25 meters.
Explanation
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.
Problem 3
There are 395 packets and 1975 marbles. How many marbles will be in each packet?
Each packet will have 5 marbles.
Explanation
To find the marbles in each packet, divide the total marbles by the number of packets.
1975/395 = 5
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1975/5 = 395
Problem 5
1975 books need to be arranged in 79 shelves. How many books will go on each shelf?
Each of the shelves has 25 books.
Explanation
Divide total books by shelves.
1975/79 = 25
FAQs on Factors of 1975
1.What are the factors of 1975?
2.Mention the prime factors of 1975.
3.Is 1975 a multiple of 5?
4.Mention the factor pairs of 1975?
5.What is the square of 1975?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1975?
7.What are some fun ways kids in Vietnam can practice Factors of 1975 with numbers?
8.What role do numbers and Factors of 1975 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1975 skills?
Important Glossaries for Factor of 1975
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1975 are 1, 5, 395, and 1975.
- Prime factors: The factors which are prime numbers. For example, 5 and 79 are prime factors of 1975.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1975 are (1, 1975) and (5, 395).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1975 is 5 × 79.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1975 is a multiple of 5.
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About BrightChamps in Vietnam
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
