100 LearnersLast updated on May 26th, 2025
Factors of 1070
Factors are the numbers that divide any given number evenly without a 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 1070, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1070?
The numbers that divide 1070 evenly are known as factors of 1070.
A factor of 1070 is a number that divides the number without a remainder.
The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, and 1070.
Negative factors of 1070: -1, -2, -5, -10, -107, -214, -535, and -1070.
Prime factors of 1070: 2, 5, and 107.
Prime factorization of 1070: 2 × 5 × 107.
The sum of factors of 1070: 1 + 2 + 5 + 10 + 107 + 214 + 535 + 1070 = 1944
How to Find Factors of 1070?
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 1070. Identifying the numbers which are multiplied to get the number 1070 is the multiplication method.
Step 1: Multiply 1070 by 1, 1070 × 1 = 1070.
Step 2: Check for other numbers that give 1070 after multiplying:
2 × 535 = 1070
5 × 214 = 1070
10 × 107 = 1070
Therefore, the positive factor pairs of 1070 are: (1, 1070), (2, 535), (5, 214), (10, 107).
All these factor pairs result in 1070.
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 which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1070 by 1, 1070 ÷ 1 = 1070.
Step 2: Continue dividing 1070 by the numbers until the remainder becomes 0.
1070 ÷ 1 = 1070
1070 ÷ 2 = 535
1070 ÷ 5 = 214
1070 ÷ 10 = 107
Therefore, the factors of 1070 are: 1, 2, 5, 10, 107, 214, 535, 1070.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1070 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1070 ÷ 2 = 535
535 ÷ 5 = 107
107 ÷ 107 = 1
The prime factors of 1070 are 2, 5, and 107.
The prime factorization of 1070 is: 2 × 5 × 107.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1070 is divided by 2 to get 535.
Step 2: Now divide 535 by 5 to get 107.
Step 3: Here, 107 is a prime number and cannot be divided further.
So, the prime factorization of 1070 is: 2 × 5 × 107.
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 1070: (1, 1070), (2, 535), (5, 214), (10, 107).
Negative factor pairs of 1070: (-1, -1070), (-2, -535), (-5, -214), (-10, -107).
Common Mistakes and How to Avoid Them in Factors of 1070
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 1070, 1 and 1070 are also factors.
Factors of 1070 Examples
Problem 1
There are 10 people and 1070 apples. How will they divide them equally?
They will get 107 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
1070/10 = 107
Problem 2
A rectangular plot has a length of 107 meters and a total area of 1070 square meters. Find the width.
10 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1070 = 107 × width
To find the value of width, we need to shift 107 to the left side.
1070/107 = width
Width = 10.
Problem 3
There are 5 boxes and 1070 candies. How many candies will be in each box?
Each box will have 214 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1070/5 = 214
Problem 4
In a school, there are 1070 students, and 214 classes. How many students are there in each class?
There are 5 students in each class.
Explanation
Dividing the students by the total classes, we will get the number of students in each class.
1070/214 = 5
Problem 5
1070 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 535 books.
Explanation
Divide total books by shelves.
1070/2 = 535
FAQs on Factors of 1070
1.What are the factors of 1070?
2.Mention the prime factors of 1070.
3.Is 1070 a multiple of 5?
4.Mention the factor pairs of 1070?
5.What is the square of 1070?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1070?
7.What are some fun ways kids in Qatar can practice Factors of 1070 with numbers?
8.What role do numbers and Factors of 1070 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1070 skills?
Important Glossaries for Factors of 1070
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1070 are 1, 2, 5, 10, 107, 214, 535, and 1070.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 107 are prime factors of 1070.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1070 = 2 × 5 × 107.
- 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 1070 are (1, 1070), (2, 535), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 1070 is a multiple of 5.
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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.
