118 LearnersLast updated on May 26th, 2025
Factors of 1945
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 1945, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1945?
The numbers that divide 1945 evenly are known as factors of 1945.
A factor of 1945 is a number that divides the number without remainder.
The factors of 1945 are 1, 5, 389, and 1945.
Negative factors of 1945: -1, -5, -389, and -1945.
Prime factors of 1945: 5 and 389.
Prime factorization of 1945: 5 × 389.
The sum of factors of 1945: 1 + 5 + 389 + 1945 = 2340
How to Find Factors of 1945?
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 1945. Identifying the numbers which are multiplied to get the number 1945 is the multiplication method.
Step 1: Multiply 1945 by 1, 1945 × 1 = 1945.
Step 2: Check for other numbers that give 1945 after multiplying 5 × 389 = 1945
Therefore, the positive factor pairs of 1945 are: (1, 1945), (5, 389).
All these factor pairs result in 1945.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1945 by 1, 1945 ÷ 1 = 1945.
Step 2: Continue dividing 1945 by the numbers until the remainder becomes 0.
1945 ÷ 1 = 1945
1945 ÷ 5 = 389
Therefore, the factors of 1945 are: 1, 5, 389, 1945.
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 1945 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1945 ÷ 5 = 389
389 is a prime number and cannot be divided further except by itself.
The prime factors of 1945 are 5 and 389.
The prime factorization of 1945 is: 5 × 389.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1945 is divided by 5 to get 389. 389 is a prime number, and no further division is possible except by 389 itself. So, the prime factorization of 1945 is: 5 × 389.
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 1945: (1, 1945), (5, 389).
Negative factor pairs of 1945: (-1, -1945), (-5, -389).
Common Mistakes and How to Avoid Them in Factors of 1945
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1945, 1 and 1945 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 1945 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 0.5 as a factor, because 1945/0.5 = 3890, 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 1945 are prime numbers.
For example, 5 and 389 are the prime factors of 1945, but it has other factors like 1945.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1945 as 5 × 389 and missing all the key factors.
Factors of 1945 Examples
Problem 1
There are 5 teachers and 1945 students at a school event. How will they divide the students equally among themselves?
They will each handle 389 students.
Explanation
To divide the students equally, we need to divide the total number of students by the number of teachers.
1945/5 = 389
Problem 2
A rectangular garden has a length of 5 meters and a total area of 1945 square meters. Find the width.
389 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1945 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1945/5 = width
Width = 389.
Problem 3
There are 389 chairs and 1945 students. How many students will share each chair?
Each chair will be shared by 5 students.
Explanation
To find the number of students per chair, divide the total students by the number of chairs.
1945/389 = 5
Problem 4
In a conference, there are 1945 participants, and there are 5 speaker slots. How many participants will be in each speaker's session?
There will be 389 participants in each session.
Explanation
Dividing the number of participants by the total speaker slots, we will get the number of participants in each session.
1945/5 = 389
Problem 5
1945 books need to be distributed across 5 libraries. How many books will go to each library?
Each library will receive 389 books.
Explanation
Divide total books by the number of libraries.
1945/5 = 389
FAQs on Factors of 1945
1.What are the factors of 1945?
2.Mention the prime factors of 1945.
3.Is 1945 a multiple of 5?
4.Mention the factor pairs of 1945?
5.What is the square of 1945?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1945?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 1945 with numbers?
8.What role do numbers and Factors of 1945 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1945 skills?
Important Glossaries for Factors of 1945
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1945 are 1, 5, 389, and 1945.
- Prime factors: The factors that are prime numbers. For example, 5 and 389 are prime factors of 1945.
- 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 1945 are (1, 1945) and (5, 389).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1945 = 5 × 389.
- Multiples: Numbers that can be divided by a given number without a remainder. For example, 1945 is a multiple of 5.
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About BrightChamps in Saudi Arabia
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.
