146 LearnersLast updated on May 26th, 2025
Factors of 970
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 970, how they are used in real life, and tips to learn them quickly.
What are the Factors of 970?
The numbers that divide 970 evenly are known as factors of 970.
A factor of 970 is a number that divides the number without remainder.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, and 970.
Negative factors of 970: -1, -2, -5, -10, -97, -194, -485, and -970.
Prime factors of 970: 2, 5, and 97.
Prime factorization of 970: 2 × 5 × 97.
The sum of factors of 970: 1 + 2 + 5 + 10 + 97 + 194 + 485 + 970 = 1764
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How to Find Factors of 970?
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 970. Identifying the numbers which are multiplied to get the number 970 is the multiplication method.
Step 1: Multiply 970 by 1, 970 × 1 = 970.
Step 2: Check for other numbers that give 970 after multiplying
2 × 485 = 970
5 × 194 = 970
10 × 97 = 970
Therefore, the positive factor pairs of 970 are: (1, 970), (2, 485), (5, 194), (10, 97).
All these factor pairs result in 970.
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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 970 by 1, 970 ÷ 1 = 970.
Step 2: Continue dividing 970 by the numbers until the remainder becomes 0.
970 ÷ 1 = 970
970 ÷ 2 = 485
970 ÷ 5 = 194
970 ÷ 10 = 97
Therefore, the factors of 970 are: 1, 2, 5, 10, 97, 194, 485, 970.
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 970 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
970 ÷ 2 = 485
485 ÷ 5 = 97
97 ÷ 97 = 1
The prime factors of 970 are 2, 5, and 97.
The prime factorization of 970 is: 2 × 5 × 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 970 is divided by 2 to get 485.
Step 2: Now divide 485 by 5 to get 97.
Step 3: Then divide 97 by 97 to get 1. Here, 97 is a prime number and cannot be divided anymore.
So, the prime factorization of 970 is: 2 × 5 × 97.
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 970: (1, 970), (2, 485), (5, 194), (10, 97).
Negative factor pairs of 970: (-1, -970), (-2, -485), (-5, -194), (-10, -97).
Common Mistakes and How to Avoid Them in Factors of 970
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 970, 1 and 970 is also a factor.
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 970 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 970/1.5 = 646.666, 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 970 are prime numbers.
For example, 2 and 5 are the prime factors of 970, but it has other factors like 10, 485.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, Not breaking 970 as 2 × 5 × 97 and missing all the key factors.
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Factors of 970 Examples
Problem 1
A team of 97 athletes needs to be divided into groups for a relay race. If there are 970 meters to be covered, how many meters will each group cover if each group covers equal distance?
Each group will cover 10 meters.
Explanation
To divide the total distance equally, we need to divide the total meters by the number of groups.
970/97 = 10
Problem 2
A rectangular plot has a width of 5 meters and a total area of 970 square meters. What is the length of the plot?
194 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
970 = length × 5
To find the value of length, we need to shift 5 to the left side.
970/5 = length
Length = 194.
Problem 3
There are 970 apples to be distributed among 485 people. How many apples will each person receive?
Each person will receive 2 apples.
Explanation
To find the apples each person receives, divide the total apples by the number of people.
970/485 = 2
Problem 4
A shipment of 10 boxes each containing the same number of items has a total of 970 items. How many items are in each box?
There are 97 items in each box.
Explanation
Dividing the total items by the number of boxes, we will get the number of items in each box.
970/10 = 97
Problem 5
970 chairs need to be arranged in 5 rows. How many chairs will go in each row?
Each of the rows has 194 chairs.
Explanation
Divide total chairs by rows.
970/5 = 194
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FAQs on Factors of 970
1.What are the factors of 970?
2.Mention the prime factors of 970.
3.Is 970 a multiple of 10?
4.Mention the factor pairs of 970?
5.What is the square of 970?
6.How can children in Qatar use numbers in everyday life to understand Factors of 970?
7.What are some fun ways kids in Qatar can practice Factors of 970 with numbers?
8.What role do numbers and Factors of 970 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 970 skills?
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Important Glossaries for Factor of 970
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 97 are prime factors of 970.
- 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 970 are (1, 970), (2, 485), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 970 is 2 × 5 × 97.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 970 is a multiple of 10.
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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.
