119 LearnersLast updated on May 26th, 2025
Factors of 1925
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 1925, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1925?
The numbers that divide 1925 evenly are known as factors of 1925.
A factor of 1925 is a number that divides the number without remainder.
The factors of 1925 are 1, 5, 7, 25, 35, 275, 385, and 1925.
Negative factors of 1925: -1, -5, -7, -25, -35, -275, -385, and -1925.
Prime factors of 1925: 5, 7, and 11.
Prime factorization of 1925: 5 × 5 × 7 × 11.
The sum of factors of 1925: 1 + 5 + 7 + 25 + 35 + 275 + 385 + 1925 = 2658
How to Find Factors of 1925?
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 1925. Identifying the numbers that are multiplied to get the number 1925 is the multiplication method.
Step 1: Multiply 1925 by 1, 1925 × 1 = 1925.
Step 2: Check for other numbers that give 1925 after multiplying
5 × 385 = 1925
7 × 275 = 1925
25 × 77 = 1925
35 × 55 = 1925
Therefore, the positive factor pairs of 1925 are: (1, 1925), (5, 385), (7, 275), (25, 77), and (35, 55). 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 the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1925 by 1, 1925 ÷ 1 = 1925.
Step 2: Continue dividing 1925 by the numbers until the remainder becomes 0.
1925 ÷ 1 = 1925
1925 ÷ 5 = 385
1925 ÷ 7 = 275
1925 ÷ 25 = 77
1925 ÷ 35 = 55
Therefore, the factors of 1925 are: 1, 5, 7, 25, 35, 275, 385, and 1925.
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 1925 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1925 ÷ 5 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
The prime factors of 1925 are 5, 7, and 11.
The prime factorization of 1925 is: 5 × 5 × 7 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1925 is divided by 5 to get 385.
Step 2: Now divide 385 by 5 to get 77.
Step 3: Then divide 77 by 7 to get 11. Here, 11 is a prime number and cannot be divided anymore. So, the prime factorization of 1925 is: 5 × 5 × 7 × 11.
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 1925: (1, 1925), (5, 385), (7, 275), (25, 77), and (35, 55).
Negative factor pairs of 1925: (-1, -1925), (-5, -385), (-7, -275), (-25, -77), and (-35, -55).
Common Mistakes and How to Avoid Them in Factors of 1925
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 1925, 1 and 1925 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of 1925 consist of -1, -5, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1925/1.5 does not result in 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 1925 are prime numbers. For example, 5, 7, and 11 are the prime factors of 1925, but it has other factors like 25, 35.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1925 as 5 × 5 × 7 × 11 and missing all the key factors.
Factors of 1925 Examples
Problem 1
There are 5 teachers and 385 books. How will they distribute them equally?
They will get 77 books each.
Explanation
To distribute the books equally, we need to divide the total books by the number of teachers.
385/5 = 77
Problem 2
A rectangular banner has a length of 25 meters and a total area of 1925 square meters. Find the width.
77 meters.
Explanation
To find the width of the banner, we use the formula, Area = length × width
1925 = 25 × width
To find the value of width, we need to shift 25 to the left side.
1925/25 = width
Width = 77.
Problem 3
There are 7 trucks and 1925 packages. How many packages will be in each truck?
Each truck will have 275 packages.
Explanation
To find the packages in each truck, divide the total packages by the number of trucks.
1925/7 = 275
Problem 4
In a warehouse, there are 385 boxes, and 5 storage units. How many boxes are there in each storage unit?
There are 77 boxes in each storage unit.
Explanation
Dividing the boxes by the total storage units, we will get the number of boxes in each unit.
385/5 = 77
Problem 5
275 containers need to be placed on 7 shelves. How many containers will go on each shelf?
Each of the shelves has 39 containers.
Explanation
Divide total containers by the number of shelves.
275/7 = 39
FAQs on Factors of 1925
1.What are the factors of 1925?
2.Mention the prime factors of 1925.
3.Is 1925 a multiple of 35?
4.Mention the factor pairs of 1925?
5.What is the square of 1925?
Important Glossaries for Factor of 1925
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1925 are 1, 5, 7, 25, 35, 275, 385, and 1925.
- Prime factors: The factors which are prime numbers. For example, 5, 7, and 11 are prime factors of 1925.
- 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 1925 are (1, 1925), (5, 385), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.
- Division method: A method to find factors by dividing the number by integers until the remainder is zero.
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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.
