125 LearnersLast updated on May 26th, 2025
Factors of 715
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 715, how they are used in real life, and tips to learn them quickly.
What are the Factors of 715?
The numbers that divide 715 evenly are known as factors of 715.
A factor of 715 is a number that divides the number without remainder.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, and 715.
Negative factors of 715: -1, -5, -11, -13, -55, -65, -143, and -715.
Prime factors of 715: 5, 11, and 13.
Prime factorization of 715: 5 × 11 × 13.
The sum of factors of 715: 1 + 5 + 11 + 13 + 55 + 65 + 143 + 715 = 1008
How to Find Factors of 715?
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 715. Identifying the numbers which are multiplied to get the number 715 is the multiplication method.
Step 1: Multiply 715 by 1, 715 × 1 = 715.
Step 2: Check for other numbers that give 715 after multiplying
5 × 143 = 715
11 × 65 = 715
13 × 55 = 715
Therefore, the positive factor pairs of 715 are: (1, 715), (5, 143), (11, 65), (13, 55).
All these factor pairs result in 715.
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 results as a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 715 by 1, 715 ÷ 1 = 715.
Step 2: Continue dividing 715 by the numbers until the remainder becomes 0.
715 ÷ 1 = 715
715 ÷ 5 = 143
715 ÷ 11 = 65
715 ÷ 13 = 55
Therefore, the factors of 715 are: 1, 5, 11, 13, 55, 65, 143, 715.
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 715 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
715 ÷ 5 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 715 are 5, 11, and 13.
The prime factorization of 715 is: 5 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 715 is divided by 5 to get 143.
Step 2: Now divide 143 by 11 to get 13.
Step 3: Here, 13 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 715 is: 5 × 11 × 13.
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 715: (1, 715), (5, 143), (11, 65), (13, 55).
Negative factor pairs of 715: (-1, -715), (-5, -143), (-11, -65), (-13, -55).
Common Mistakes and How to Avoid Them in Factors of 715
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 715, 1 and 715 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 715 consist of -1, -5, -11, 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 715/1.5 = 476.666, 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 715 are prime numbers.
For example, 5, 11, and 13 are the prime factors of 715, but it has other factors like 65, 143.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 715 as 5 × 11 × 13 and missing all the key factors.
Factors of 715 Examples
Problem 1
There are 13 students and 715 pages of a book. How will they distribute the pages equally?
They will get 55 pages each.
Explanation
To distribute the pages equally, we need to divide the total pages with the number of students.
715/13 = 55
Problem 2
A farm is rectangular, the length of the farm is 11 meters and the total area is 715 square meters. Find the width.
65 meters.
Explanation
To find the width of the farm, we use the formula,
Area = length × width
715 = 11 × width
To find the value of width, we need to shift 11 to the left side.
715/11 = width
Width = 65.
Problem 3
There are 5 trucks and 715 boxes. How many boxes will be in each truck?
Each truck will have 143 boxes.
Explanation
To find the boxes in each truck, divide the total boxes with the trucks.
715/5 = 143
Problem 4
In a city, there are 715 people, and 5 clubs. How many people are there in each club?
There are 143 people in each club.
Explanation
Dividing the people with the total clubs, we will get the number of people in each club.
715/5 = 143
Problem 5
715 chairs need to be arranged in 11 rows. How many chairs will go in each row?
Each of the rows has 65 chairs.
Explanation
Divide total chairs with rows.
715/11 = 65
FAQs on Factors of 715
1.What are the factors of 715?
2.Mention the prime factors of 715.
3.Is 715 a multiple of 11?
4.Mention the factor pairs of 715.
5.What is the square of 715?
6.How can children in India use numbers in everyday life to understand Factors of 715?
7.What are some fun ways kids in India can practice Factors of 715 with numbers?
8.What role do numbers and Factors of 715 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 715 skills?
Important Glossaries for Factors of 715
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 715 are 1, 5, 11, 13, 55, 65, 143, and 715.
- Prime factors: The factors which are prime numbers. For example, 5, 11, and 13 are prime factors of 715.
- 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 715 are (1, 715), (5, 143), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 715 = 5 × 11 × 13.
- Multiple: A multiple is the product of a number and an integer. For example, 715 is a multiple of 11.
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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
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