Last updated on May 26th, 2025
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.
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
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 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.
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.
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 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.
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).
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 475 apples and 5 baskets. How many apples will be in each basket?
Each basket will have 95 apples.
To distribute the apples equally, we need to divide the total apples by the number of baskets.
475/5 = 95
A rectangular garden has an area of 475 square meters and a width of 19 meters. What is the length?
25 meters.
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.
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.
To find the candie
475/25 = 19
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.
Dividing the total bricks by the number of bricks per wall, we will get the number of walls.
475/95 = 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.
Divide total items by the number of workers.
475/19 = 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.