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 1479, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1479 evenly are known as factors of 1479.
A factor of 1479 is a number that divides the number without remainder.
The factors of 1479 are 1, 3, 7, 21, 211, 423, 493, and 1479.
Negative factors of 1479: -1, -3, -7, -21, -211, -423, -493, and -1479.
Prime factors of 1479: 3, 7, and 211.
Prime factorization of 1479: 3 × 7 × 211.
The sum of factors of 1479: 1 + 3 + 7 + 21 + 211 + 423 + 493 + 1479 = 2638
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 1479. Identifying the numbers which are multiplied to get the number 1479 is the multiplication method.
Step 1: Multiply 1479 by 1, 1479 × 1 = 1479.
Step 2: Check for other numbers that give 1479 after multiplying
3 × 493 = 1479
7 × 211 = 1479
21 × 71 = 1479
Therefore, the positive factor pairs of 1479 are: (1, 1479), (3, 493), (7, 211), (21, 71).
All these factor pairs result in 1479. 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 1479 by 1, 1479 ÷ 1 = 1479.
Step 2: Continue dividing 1479 by the numbers until the remainder becomes 0.
1479 ÷ 1 = 1479
1479 ÷ 3 = 493
1479 ÷ 7 = 211 1479 ÷ 21 = 71
Therefore, the factors of 1479 are: 1, 3, 7, 21, 211, 423, 493, 1479.
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 1479 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1479 ÷ 3 = 493
493 ÷ 7 = 71
71 ÷ 71 = 1
The prime factors of 1479 are 3, 7, and 211.
The prime factorization of 1479 is: 3 × 7 × 211.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1479 is divided by 3 to get 493.
Step 2: Now divide 493 by 7 to get 71.
Step 3: As 71 is a prime number, the division stops here. So, the prime factorization of 1479 is: 3 × 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 1479: (1, 1479), (3, 493), (7, 211), and (21, 71).
Negative factor pairs of 1479: (-1, -1479), (-3, -493), (-7, -211), and (-21, -71).
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 21 friends and 1479 candies. How will they divide them equally?
They will get 71 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1479/21 = 71
A rectangular garden has a length of 7 meters and a total area of 1479 square meters. Find the width?
211 meters.
To find the width of the garden, we use the formula, Area = length × width
1479 = 7 × width
To find the value of width, we need to shift 7 to the left side.
1479/7 = width
Width = 211.
There are 3 trucks and 1479 boxes. How many boxes will be in each truck?
Each truck will have 493 boxes.
To find the boxes in each truck, divide the total boxes by the trucks.
1479/3 = 493
In a tournament, there are 1479 participants, and 493 teams. How many participants are there in each team?
There are 3 participants in each team.
Dividing the participants by the total teams, we will get the number of participants in each team.
1479/493 = 3
1479 chairs need to be arranged in 7 rows. How many chairs will go in each row?
Each row will have 211 chairs.
Divide total chairs by rows.
1479/7 = 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.