121 LearnersLast updated on June 9th, 2025
Factors of 1477
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1477, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1477?
The numbers that divide 1477 evenly are known as factors of 1477.
A factor of 1477 is a number that divides the number without remainder.
The factors of 1477 are 1, 7, 211, and 1477.
Negative factors of 1477: -1, -7, -211, and -1477.
Prime factors of 1477: 7 and 211.
Prime factorization of 1477: 7 × 211.
The sum of factors of 1477: 1 + 7 + 211 + 1477 = 1696
How to Find Factors of 1477?
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 1477. Identifying the numbers which are multiplied to get the number 1477 is the multiplication method.
Step 1: Multiply 1477 by 1, 1477 × 1 = 1477.
Step 2: Check for other numbers that give 1477 after multiplying
7 × 211 = 1477
Therefore, the positive factor pairs of 1477 are: (1, 1477), (7, 211). All these factor pairs result in 1477.
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 simple division method
Step 1: Divide 1477 by 1, 1477 ÷ 1 = 1477.
Step 2: Continue dividing 1477 by the numbers until the remainder becomes 0.
1477 ÷ 1 = 1477
1477 ÷ 7 = 211
Therefore, the factors of 1477 are: 1, 7, 211, 1477.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1477 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1477 ÷ 7 = 211
211 ÷ 211 = 1
The prime factors of 1477 are 7 and 211.
The prime factorization of 1477 is: 7 × 211.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1477 is divided by 7 to get 211.
Step 2: Now divide 211 by 211 to get 1. Here, 211 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1477 is: 7 × 211.
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 1477: (1, 1477), (7, 211).
Negative factor pairs of 1477: (-1, -1477), (-7, -211).
Common Mistakes and How to Avoid Them in Factors of 1477
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1477, 1 and 1477 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 1477 consist of -1, -7, -211, 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 1477/1.5 = 984.666..., 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 1477 are prime numbers. For example, 7 and 211 are the prime factors of 1477, but it has other factors like 1 and 1477.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1477 as 7 × 211 and missing all the key factors.
Factors of 1477 Examples
Problem 1
There are 7 teams and 1477 points. How will they distribute it equally?
Each team will get 211 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1477/7 = 211
Problem 2
A banner is rectangular, the width of the banner is 7 meters, and the total area is 1477 square meters. Find the length?
211 meters.
Explanation
To find the length of the banner, we use the formula, Area = length × width
1477 = length × 7
To find the value of length, we need to shift 7 to the left side.
1477/7 = length
Length = 211.
Problem 3
There are 1477 apples and 211 baskets. How many apples will be in each basket?
Each basket will have 7 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1477/211 = 7
Problem 4
In a class, there are 1477 students, and 7 groups. How many students are there in each group?
There are 211 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1477/7 = 211
Problem 5
1477 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves will have 211 books.
Explanation
Divide total books by shelves.
1477/7 = 211
FAQs on Factors of 1477
1.What are the factors of 1477?
2.Mention the prime factors of 1477.
3.Is 1477 a multiple of 7?
4.Mention the factor pairs of 1477?
5.What is the square of 1477?
6.How can children in India use numbers in everyday life to understand Factors of 1477?
7.What are some fun ways kids in India can practice Factors of 1477 with numbers?
8.What role do numbers and Factors of 1477 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1477 skills?
Important Glossaries for Factors of 1477
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1477 are 1, 7, 211, and 1477.
- Prime factors: The factors which are prime numbers. For example, 7 and 211 are prime factors of 1477.
- 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 1477 are (1, 1477) and (7, 211).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1477 is 7 × 211.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 1477 is a multiple of 7.
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About BrightChamps in India
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.
