102 LearnersLast updated on May 26th, 2025
Factors of 739
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 objects, etc. In this topic, we will learn about the factors of 739, how they are used in real life, and tips to learn them quickly.
What are the Factors of 739?
The numbers that divide 739 evenly are known as factors of 739.
A factor of 739 is a number that divides the number without remainder.
The factors of 739 are 1 and 739.
Negative factors of 739: -1 and -739.
Prime factors of 739: 739.
Prime factorization of 739: 739 (since 739 is a prime number).
The sum of factors of 739: 1 + 739 = 740
How to Find Factors of 739?
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 739.
Since 739 is a prime number, the only multiplication that fits is 1 × 739.
Therefore, the positive factor pair of 739 is: (1, 739).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 739 by 1, 739 ÷ 1 = 739.
Step 2: Since 739 is a prime number, it cannot be divided by any other number without leaving a remainder.
Therefore, the factors of 739 are: 1 and 739.
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, since 739 is a prime number, it cannot be broken down further.
The prime factorization of 739 is: 739.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
Since 739 is a prime number, it does not break down further into a factor tree.
The prime factorization of 739 is simply: 739.
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 pair of 739: (1, 739).
Negative factor pair of 739: (-1, -739).
Common Mistakes and How to Avoid Them in Factors of 739
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
People 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 factors of 739, 1 and 739 are also factors.
Factors of 739 Examples
Problem 1
There are 739 apples, and they need to be packed into bags of 1 apple each. How many bags will you need?
You will need 739 bags.
Explanation
To pack the apples, we need a bag for each apple.
Since there are 739 apples, we need 739 bags.
Problem 2
A straight track is 739 meters long. If you walk this track back and forth once, what is the total distance covered?
1,478 meters.
Explanation
To find the total distance covered, calculate the length of the track both ways.
739 meters each way, so 739 × 2 = 1,478 meters.
Problem 3
A group of 739 students needs to be divided into teams of 1 student. How many teams will there be?
There will be 739 teams.
Explanation
Each student forms one team.
Therefore, 739 students make 739 teams.
Problem 4
A classroom has 739 chairs, and each row must contain 1 chair. How many rows are there?
There are 739 rows.
Explanation
Since each row contains 1 chair, there will be 739 rows.
Problem 5
A wall is 739 bricks wide. How many bricks are needed if you lay 1 brick per row?
739 bricks are needed.
Explanation
Each row has 1 brick, so 739 rows require 739 bricks.
FAQs on Factors of 739
1.What are the factors of 739?
2.Mention the prime factors of 739.
3.Is 739 a multiple of any number other than 1 and itself?
4.Mention the factor pair of 739?
5.Is 739 a prime number?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 739?
7.What are some fun ways kids in United Kingdom can practice Factors of 739 with numbers?
8.What role do numbers and Factors of 739 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 739 skills?
Important Glossaries for Factor of 739
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 739 are 1 and 739.
- Prime factors: Factors that are prime numbers. For example, 739 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 739 is (1, 739).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 739 is a prime number.
- Division method: A technique to find factors by dividing the number by integers to check if the remainder is zero.
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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.
