125 LearnersLast updated on June 9th, 2025
Factors of 1479
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.
What are the Factors of 1479?
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
How to Find Factors of 1479?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1479
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1479, 1 and 1479 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 1479 consist of -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 1479/1.5 = 986, but 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 1479 are prime numbers. For example, 3, 7, and 211 are the prime factors of 1479, but it has other factors like 21 and 71.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1479 as 3 × 7 × 211 and missing all the key factors.
Factors of 1479 Examples
Problem 1
There are 21 friends and 1479 candies. How will they divide them equally?
They will get 71 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1479/21 = 71
Problem 2
A rectangular garden has a length of 7 meters and a total area of 1479 square meters. Find the width?
211 meters.
Explanation
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.
Problem 3
There are 3 trucks and 1479 boxes. How many boxes will be in each truck?
Each truck will have 493 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
1479/3 = 493
Problem 4
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.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1479/493 = 3
Problem 5
1479 chairs need to be arranged in 7 rows. How many chairs will go in each row?
Each row will have 211 chairs.
Explanation
Divide total chairs by rows.
1479/7 = 211
FAQs on Factors of 1479
1.What are the factors of 1479?
2.Mention the prime factors of 1479.
3.Is 1479, a multiple of 7?
4.Mention the factor pairs of 1479?
5.What is the square of 1479?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1479?
7.What are some fun ways kids in Qatar can practice Factors of 1479 with numbers?
8.What role do numbers and Factors of 1479 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1479 skills?
Important Glossaries for Factors of 1479
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1479 are 1, 3, 7, 21, 211, 423, 493, and 1479.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 211 are prime factors of 1479.
- 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 1479 are (1, 1479), (3, 493), etc.
- Prime factorization: It is expressing a number as the product of its prime factors. For example, the prime factorization of 1479 is 3 × 7 × 211.
- Division method: A method to find factors by dividing the number by integers to check for a remainder of zero. For example, using the division method to find factors of 1479 involves dividing it by numbers such as 1, 3, 7, etc.
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About BrightChamps in Qatar
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.
