116 LearnersLast updated on May 26th, 2025
Factors of 1715
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 1715, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1715?
The numbers that divide 1715 evenly are known as factors of 1715.
A factor of 1715 is a number that divides the number without remainder.
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, and 1715.
Negative factors of 1715: -1, -5, -7, -35, -49, -245, -343, and -1715.
Prime factors of 1715: 5 and 7.
Prime factorization of 1715: 5 × 73.
The sum of factors of 1715: 1 + 5 + 7 + 35 + 49 + 245 + 343 + 1715 = 2400
How to Find Factors of 1715?
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 1715. Identifying the numbers which are multiplied to get the number 1715 is the multiplication method.
Step 1: Multiply 1715 by 1, 1715 × 1 = 1715.
Step 2: Check for other numbers that give 1715 after multiplying
5 × 343 = 1715
7 × 245 = 1715
35 × 49 = 1715
Therefore, the positive factor pairs of 1715 are: (1, 1715), (5, 343), (7, 245), (35, 49).
All these factor pairs result in 1715.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1715 by 1, 1715 ÷ 1 = 1715.
Step 2: Continue dividing 1715 by the numbers until the remainder becomes 0.
1715 ÷ 1 = 1715
1715 ÷ 5 = 343
1715 ÷ 7 = 245
1715 ÷ 35 = 49
Therefore, the factors of 1715 are: 1, 5, 7, 35, 49, 245, 343, 1715.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1715 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1715 ÷ 5 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1715 are 5 and 7.
The prime factorization of 1715 is: 5 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1715 is divided by 5 to get 343.
Step 2: Now divide 343 by 7 to get 49.
Step 3: Then divide 49 by 7 to get 7.
Step 4: Divide 7 by 7 to get 1. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1715 is: 5 × 73.
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 1715: (1, 1715), (5, 343), (7, 245), and (35, 49).
Negative factor pairs of 1715: (-1, -1715), (-5, -343), (-7, -245), and (-35, -49).
Common Mistakes and How to Avoid Them in Factors of 1715
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1715, 1 and 1715 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 1715 consist of -1, -5, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 2.5 is a factor, because 1715/2.5 = 686, 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 1715 are prime numbers.
For example, 5 and 7 are the prime factors of 1715, but it has other factors like 35, 49.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1715 as 5 × 7^3 and missing all the key factors.
Factors of 1715 Examples
Problem 1
There are 7 teams and 1715 apples. How will they divide it equally?
They will get 245 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams.
1715/7 = 245
Problem 2
A rectangular garden's length is 35 meters, and the total area is 1715 square meters. Find the width?
49 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1715 = 35 × width
To find the value of width, we need to shift 35 to the left side.
1715/35 = width
Width = 49.
Problem 3
There are 5 boxes and 1715 candies. How many candies will be in each box?
Each box will have 343 candies.
Explanation
To find the candies in each box, divide the total candies with the number of boxes.
1715/5 = 343
Problem 4
In a conference, there are 1715 participants, and 49 groups. How many participants are there in each group?
There are 35 participants in each group.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
1715/49 = 35
Problem 5
1715 books need to be arranged in 245 stacks. How many books will go in each stack?
Each stack will have 7 books.
Explanation
Divide total books with stacks.
1715/245 = 7
FAQs on Factors of 1715
1.What are the factors of 1715?
2.Mention the prime factors of 1715.
3.Is 1715 a multiple of 7?
4.Mention the factor pairs of 1715?
5.What is the square of 1715?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1715?
7.What are some fun ways kids in Qatar can practice Factors of 1715 with numbers?
8.What role do numbers and Factors of 1715 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1715 skills?
Important Glossaries for Factor of 1715
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1715 are 1, 5, 7, 35, 49, 245, 343, and 1715.
- Prime factors: The factors which are prime numbers. For example, 5 and 7 are prime factors of 1715.
- 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 1715 are (1, 1715), (5, 343), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1715 is 5 × 73.
- Multiples: Numbers that can be obtained by multiplying the original number by any integer. For example, 1715 is a multiple of 7.
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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.
