102 LearnersLast updated on May 26th, 2025
Factors of -70
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 -70, how they are used in real life, and tips to learn them quickly.
What are the Factors of -70?
The numbers that divide -70 evenly are known as factors of -70.
A factor of -70 is a number that divides the number without remainder.
The positive factors of 70: 1, 2, 5, 7, 10, 14, 35, and 70.
Negative factors of -70: -1, -2, -5, -7, -10, -14, -35, and -70.
Prime factors of 70: 2, 5, and 7.
Prime factorization of 70: 2 × 5 × 7.
The sum of the positive factors of 70: 1 + 2 + 5 + 7 + 10 + 14 + 35 + 70 = 144
How to Find Factors of -70?
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 70. Identifying the numbers that are multiplied to get the number 70 is the multiplication method.
Step 1: Multiply 70 by 1, 70 × 1 = 70.
Step 2: Check for other numbers that give 70 after multiplying 2 × 35 = 70 5 × 14 = 70 7 × 10 = 70
Therefore, the positive factor pairs of 70 are: (1, 70), (2, 35), (5, 14), (7, 10).
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 that result in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 70 by 1, 70 ÷ 1 = 70.
Step 2: Continue dividing 70 by the numbers until the remainder becomes 0.
70 ÷ 1 = 70
70 ÷ 2 = 35
70 ÷ 5 = 14
70 ÷ 7 = 10
Therefore, the factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 70 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 70 are 2, 5, and 7.
The prime factorization of 70 is: 2 × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 70 is divided by 2 to get 35.
Step 2: Now divide 35 by 5 to get 7.
Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 70 is: 2 × 5 × 7.
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 70: (1, 70), (2, 35), (5, 14), and (7, 10).
Negative factor pairs of -70: (-1, -70), (-2, -35), (-5, -14), and (-7, -10).
Common Mistakes and How to Avoid Them in Factors of -70
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 70, 1 and 70 are also factors.
Factors of -70 Examples
Problem 1
There are 7 friends and 70 apples. How will they divide them equally?
They will get 10 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
70/7 = 10
Problem 2
A rectangular garden has a length of 14 meters and a total area of 70 square meters. Find the width.
5 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 70 = 14 × width
To find the value of width, we need to shift 14 to the left side.
70/14 = width
Width = 5.
Problem 3
There are 10 containers and 70 liters of water. How many liters will be in each container?
Each container will have 7 liters.
Explanation
To find the liters in each container, divide the total liters with the containers.
70/10 = 7
Problem 4
In a class, there are 70 students, and 5 groups. How many students are there in each group?
There are 14 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
70/5 = 14
Problem 5
70 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 10 books.
Explanation
Divide total books with shelves.
70/7 = 10
FAQs on Factors of -70
1.What are the factors of -70?
2.Mention the prime factors of 70.
3.Is 70 a multiple of 7?
4.Mention the factor pairs of -70?
5.What is the square of 70?
6.How can children in Oman use numbers in everyday life to understand Factors of -70?
7.What are some fun ways kids in Oman can practice Factors of -70 with numbers?
8.What role do numbers and Factors of -70 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of -70 skills?
Important Glossaries for Factors of -70
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 70.
- 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 70 are (1, 70), (2, 35), etc.
- Negative factors: The negative counterparts of each positive factor of a given number. For example, the negative factors of -70 are -1, -2, -5, etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 70 is 2 × 5 × 7.
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About BrightChamps in Oman
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.
