121 LearnersLast updated on May 26th, 2025
Factors of 3239
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 3239, how they are used in real life, and tips to learn them quickly.
What are the Factors of 3239?
The numbers that divide 3239 evenly are known as factors of 3239.
A factor of 3239 is a number that divides the number without a remainder.
The factors of 3239 are 1, 7, 461, and 3239.
Negative factors of 3239: -1, -7, -461, and -3239.
Prime factors of 3239: 7 and 461.
Prime factorization of 3239: 7 × 461.
The sum of factors of 3239: 1 + 7 + 461 + 3239 = 3708
How to Find Factors of 3239?
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 3239. Identifying the numbers which are multiplied to get the number 3239 is the multiplication method.
Step 1: Multiply 3239 by 1, 3239 × 1 = 3239.
Step 2: Check for other numbers that give 3239 after multiplying 7 × 461 = 3239
Therefore, the positive factor pairs of 3239 are: (1, 3239) and (7, 461). All these factor pairs result in 3239. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 3239 by 1, 3239 ÷ 1 = 3239.
Step 2: Continue dividing 3239 by the numbers until the remainder becomes 0.
3239 ÷ 1 = 3239
3239 ÷ 7 = 461
3239 ÷ 461 = 7
Therefore, the factors of 3239 are: 1, 7, 461, and 3239.
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 3239 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3239 ÷ 7 = 461
461 ÷ 461 = 1
The prime factors of 3239 are 7 and 461.
The prime factorization of 3239 is: 7 × 461.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 3239 is divided by 7 to get 461.
Step 2: Now divide 461 by itself to get 1. Here, 7 and 461 are the smallest prime numbers, that cannot be divided anymore. So, the prime factorization of 3239 is: 7 × 461.
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 3239: (1, 3239) and (7, 461).
Negative factor pairs of 3239: (-1, -3239) and (-7, -461).
Common Mistakes and How to Avoid Them in Factors of 3239
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 the factors of 3239, 1 and 3239 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 3239 consist of -1, -7, -461, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 3.5 as a factor, because 3239/3.5 = 925.4286, 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 3239 are prime numbers.
For example, 7 and 461 are the prime factors of 3239, but it has other factors like 1 and 3239.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 3239 as 7 × 461 and missing all the key factors.
Factors of 3239 Examples
Problem 1
A park has 7 benches and 3239 flowers. How will the flowers be arranged equally on the benches?
Each bench will have 461 flowers.
Explanation
To arrange the flowers equally, we need to divide the total flowers by the number of benches.
3239/7 = 461
Problem 2
A rectangular garden has a length of 461 meters and a total area of 3239 square meters. Find the width.
7 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
3239 = 461 × width
To find the value of width, we need to shift 461 to the left side.
3239/461 = width
Width = 7.
Problem 3
There are 3239 students and 461 buses. How many students will be in each bus?
Each bus will have 7 students.
Explanation
To find the students in each bus, divide the total students by the number of buses.
3239/461 = 7
Problem 4
In a conference, there are 3239 participants and 7 groups. How many participants are there in each group?
There are 461 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
3239/7 = 461
Problem 5
3239 brochures need to be arranged in 7 stacks. How many brochures will go in each stack?
Each stack has 461 brochures.
Explanation
Divide total brochures by the stacks.
3239/7 = 461
FAQs on Factors of 3239
1.What are the factors of 3239?
2.Mention the prime factors of 3239.
3.Is 3239 a multiple of 7?
4.Mention the factor pairs of 3239?
5.What is the square of 3239?
Important Glossaries for Factor of 3239
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3239 are 1, 7, 461, and 3239.
- Prime factors: The factors which are prime numbers. For example, 7 and 461 are prime factors of 3239.
- 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 3239 are (1, 3239) and (7, 461).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 3239 is 7 × 461.
- Negative factors: Factors that are negative, corresponding to the positive factors. For example, the negative factors of 3239 are -1, -7, -461, and -3239.
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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.
