126 LearnersLast updated on May 26th, 2025
Factors of 475
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 475, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 475?
The numbers that divide 475 evenly are known as factors of 475.
A factor of 475 is a number that divides the number without remainder.
The factors of 475 are 1, 5, 19, 25, 95, and 475.
Negative factors of 475: -1, -5, -19, -25, -95, and -475.
Prime factors of 475: 5 and 19.
Prime factorization of 475: 5 × 19 × 5.
The sum of factors of 475: 1 + 5 + 19 + 25 + 95 + 475 = 620
How to Find Factors of 475?
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 475. Identifying the numbers which are multiplied to get the number 475 is the multiplication method.
Step 1: Multiply 475 by 1, 475 × 1 = 475.
Step 2: Check for other numbers that give 475 after multiplying:
5 × 95 = 475
19 × 25 = 475
Therefore, the positive factor pairs of 475 are: (1, 475), (5, 95), and (19, 25).
All these factor pairs result in 475.
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 475 by 1, 475 ÷ 1 = 475.
Step 2: Continue dividing 475 by the numbers until the remainder becomes 0.
475 ÷ 1 = 475
475 ÷ 5 = 95
475 ÷ 19 = 25
Therefore, the factors of 475 are: 1, 5, 19, 25, 95, and 475.
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 475 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 475 are 5 and 19.
The prime factorization of 475 is: 5 × 19 × 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 475 is divided by 5 to get 95.
Step 2: Now divide 95 by 5 to get 19.
Step 3: Here, 19 is the prime number that cannot be divided anymore.
So, the prime factorization of 475 is: 5 × 19 × 5.
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 475: (1, 475), (5, 95), (19, 25).
Negative factor pairs of 475: (-1, -475), (-5, -95), (-19, -25).
Common Mistakes and How to Avoid Them in Factors of 475
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 475, 1 and 475 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 475 consist of -1, -5, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 475/1.5 = 316.666, 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 475 are prime numbers.
For example, 5 and 19 are the prime factors of 475, but it has other factors like 25, 95.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 475 as 5 × 19 × 5 and missing all the key factors.
Factors of 475 Examples
Problem 1
There are 475 apples and 5 baskets. How many apples will be in each basket?
Each basket will have 95 apples.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets.
475/5 = 95
Problem 2
A rectangular garden has an area of 475 square meters and a width of 19 meters. What is the length?
25 meters.
Explanation
To find the length of the garden, we use the formula:
Area = length × width
475 = length × 19
To find the value of length,we need to shift 19 to the left side.
475/19 = length
Length = 25.
Problem 3
There are 25 students in a class, and they have 475 candies. If the candies are distributed equally, how many candies will each student receive?
Each student will receive 19 candies.
Explanation
To find the candie
475/25 = 19
Problem 4
A construction project requires 95 bricks for every wall. If 475 bricks are available, how many walls can be built?
5 walls can be built.
Explanation
Dividing the total bricks by the number of bricks per wall, we will get the number of walls.
475/95 = 5
Problem 5
A factory produces 475 items per day. If there are 19 workers, how many items does each worker produce?
Each worker produces 25 items.
Explanation
Divide total items by the number of workers.
475/19 = 25
FAQs on Factors of 475
1.What are the factors of 475?
2.Mention the prime factors of 475.
3.Is 475 a multiple of 5?
4.Mention the factor pairs of 475.
5.What is the square of 475?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 475?
7.What are some fun ways kids in Vietnam can practice Factors of 475 with numbers?
8.What role do numbers and Factors of 475 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 475 skills?
Important Glossaries for Factors of 475
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 475 are 1, 5, 19, 25, 95, and 475.
- Prime factors: The factors which are prime numbers. For example, 5 and 19 are prime factors of 475.
- 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 475 are (1, 475), (5, 95), and (19, 25).
- Multiples: The result of multiplying a number by an integer. For example, 475 is a multiple of 5.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 475 is 5 × 19 × 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.
