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 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.
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
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 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.
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.
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: 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.
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).
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 7 teams and 1477 points. How will they distribute it equally?
Each team will get 211 points.
To distribute the points equally, we need to divide the total points by the number of teams.
1477/7 = 211
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.
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.
There are 1477 apples and 211 baskets. How many apples will be in each basket?
Each basket will have 7 apples.
To find the apples in each basket, divide the total apples by the baskets.
1477/211 = 7
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.
Dividing the students by the total groups, we will get the number of students in each group.
1477/7 = 211
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.
Divide total books by shelves.
1477/7 = 211
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.