117 LearnersLast updated on May 26th, 2025
Factors of 1370
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1370, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1370?
The numbers that divide 1370 evenly are known as factors of 1370.
A factor of 1370 is a number that divides the number without remainder.
The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, and 1370.
Negative factors of 1370: -1, -2, -5, -10, -137, -274, -685, and -1370.
Prime factors of 1370: 2, 5, and 137.
Prime factorization of 1370: 2 × 5 × 137.
The sum of factors of 1370: 1 + 2 + 5 + 10 + 137 + 274 + 685 + 1370 = 2484
How to Find Factors of 1370?
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 1370. Identifying the numbers which are multiplied to get the number 1370 is the multiplication method.
Step 1: Multiply 1370 by 1, 1370 × 1 = 1370.
Step 2: Check for other numbers that give 1370 after multiplying
2 × 685 = 1370
5 × 274 = 1370
10 × 137 = 1370
Therefore, the positive factor pairs of 1370 are: (1, 1370), (2, 685), (5, 274), (10, 137).
All these factor pairs result in 1370.
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 a whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1370 by 1, 1370 ÷ 1 = 1370.
Step 2: Continue dividing 1370 by the numbers until the remainder becomes 0.
1370 ÷ 1 = 1370
1370 ÷ 2 = 685
1370 ÷ 5 = 274
1370 ÷ 10 = 137
Therefore, the factors of 1370 are: 1, 2, 5, 10, 137, 274, 685, 1370.
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 1370 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1370 ÷ 2 = 685
685 ÷ 5 = 137
137 ÷ 137 = 1
The prime factors of 1370 are 2, 5, and 137.
The prime factorization of 1370 is: 2 × 5 × 137.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1370 is divided by 2 to get 685.
Step 2: Now divide 685 by 5 to get 137. Step 3: Since 137 is a prime number, the factorization ends here. So, the prime factorization of 1370 is: 2 × 5 × 137.
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 1370: (1, 1370), (2, 685), (5, 274), and (10, 137).
Negative factor pairs of 1370: (-1, -1370), (-2, -685), (-5, -274), and (-10, -137).
Common Mistakes and How to Avoid Them in Factors of 1370
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 factors of 1370, 1 and 1370 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1370 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1370/1.5 = 913.333, 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 1370 are prime numbers.
For example, 2, 5, and 137 are the prime factors of 1370, but it has other factors like 10, 274.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1370 as 2 × 5 × 137 and missing all the key factors.
Factors of 1370 Examples
Problem 1
A group of 10 friends wants to buy 1370 candies equally. How many candies will each friend get?
Each friend will get 137 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1370/10 = 137
Problem 2
A rectangular garden has a length of 137 meters and an area of 1370 square meters. What is the width of the garden?
10 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1370 = 137 × width
To find the value of width, we need to shift 137 to the left side.
1370/137 = width
Width = 10.
Problem 3
There are 1370 apples and 5 boxes. How many apples will be in each box?
Each box will have 274 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
1370/5 = 274
Problem 4
A school has 1370 students and 137 classes. How many students are there in each class?
There are 10 students in each class.
Explanation
Dividing the students by the total number of classes, we will get the number of students in each class.
1370/137 = 10
Problem 5
A library has 1370 books that need to be placed on 2 shelves. How many books will go on each shelf?
Each shelf will have 685 books.
Explanation
Divide the total books by the number of shelves.
1370/2 = 685
FAQs on Factors of 1370
1.What are the factors of 1370?
2.Mention the prime factors of 1370.
3.Is 1370 a multiple of 137?
4.Mention the factor pairs of 1370?
5.What is the square of 1370?
6.How can children in Canada use numbers in everyday life to understand Factors of 1370?
7.What are some fun ways kids in Canada can practice Factors of 1370 with numbers?
8.What role do numbers and Factors of 1370 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1370 skills?
Important Glossaries for Factors of 1370
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1370 are 1, 2, 5, 10, 137, 274, 685, and 1370.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 137 are prime factors of 1370.
- 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 1370 are (1, 1370), (2, 685), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1370 is 2 × 5 × 137.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1370 is a multiple of 137.
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About BrightChamps in Canada
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.
