100 LearnersLast updated on May 26th, 2025
Factors of 1475
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 1475, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1475?
The numbers that divide 1475 evenly are known as factors of 1475.
A factor of 1475 is a number that divides the number without remainder.
The factors of 1475 are 1, 5, 25, 59, 118, 295, and 1475.
Negative factors of 1475: -1, -5, -25, -59, -118, -295, and -1475.
Prime factors of 1475: 5 and 59.
Prime factorization of 1475: 5 × 59.
The sum of factors of 1475: 1 + 5 + 25 + 59 + 118 + 295 + 1475 = 1978
How to Find Factors of 1475?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1475. Identifying the numbers which are multiplied to get the number 1475 is the multiplication method.
Step 1: Multiply 1475 by 1, 1475 × 1 = 1475.
Step 2: Check for other numbers that give 1475 after multiplying
5 × 295 = 1475
25 × 59 = 1475
Therefore, the positive factor pairs of 1475 are: (1, 1475), (5, 295), (25, 59).
All these factor pairs result in 1475.
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 1475 by 1, 1475 ÷ 1 = 1475.
Step 2: Continue dividing 1475 by the numbers until the remainder becomes 0.
1475 ÷ 1 = 1475
1475 ÷ 5 = 295
1475 ÷ 25 = 59
Therefore, the factors of 1475 are: 1, 5, 25, 59, 118, 295, 1475.
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 1475 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1475 ÷ 5 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
The prime factors of 1475 are 5 and 59.
The prime factorization of 1475 is: 5 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1475 is divided by 5 to get 295.
Step 2: Now divide 295 by 5 to get 59. Step 3: 59 is a prime number, so it cannot be divided anymore.
So, the prime factorization of 1475 is: 5 × 59.
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 1475: (1, 1475), (5, 295), (25, 59).
Negative factor pairs of 1475: (-1, -1475), (-5, -295), (-25, -59).
Common Mistakes and How to Avoid Them in Factors of 1475
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 1475, 1 and 1475 are also factors.
Factors of 1475 Examples
Problem 1
A teacher has 25 crayons and 1475 sheets of paper. How many sheets of paper will each crayon color?
Each crayon will color 59 sheets of paper.
Explanation
To divide the sheets equally, we need to divide the total sheets with the number of crayons.
1475/25 = 59
Problem 2
A football field is rectangular, the length of the field is 295 meters and the total area is 1475 square meters. Find the width.
5 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1475 = 295 × width
To find the value of width, we need to shift 295 to the left side.
1475/295 = width
Width = 5.
Problem 3
There are 5 trucks and 1475 boxes. How many boxes will be in each truck?
Each truck will have 295 boxes.
Explanation
To find the boxes in each truck, divide the total boxes with the trucks.
1475/5 = 295
Problem 4
In a workshop, there are 1475 participants, and 59 groups. How many participants are there in each group?
There are 25 participants in each group.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
1475/59 = 25
Problem 5
1475 books need to be arranged in 25 shelves. How many books will go on each shelf?
Each of the shelves has 59 books.
Explanation
Divide total books with shelves.
1475/25 = 59
FAQs on Factors of 1475
1.What are the factors of 1475?
2.Mention the prime factors of 1475.
3.Is 1475 a multiple of 5?
4.Mention the factor pairs of 1475?
5.What is the square of 1475?
Important Glossaries for Factors of 1475
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1475 are 1, 5, 25, 59, 118, 295, and 1475.
- Prime factors: The factors which are prime numbers. For example, 5 and 59 are prime factors of 1475.
- 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 1475 are (1, 1475), (5, 295), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1475 = 5 × 59.
- Negative factors: These are the negative counterparts of factors. For example, the negative factors of 1475 are -1, -5, -25, -59, -118, -295, and -1475.
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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.
