120 LearnersLast updated on May 26th, 2025
Factors of 1970
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 1970, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1970?
The numbers that divide 1970 evenly are known as factors of 1970.
A factor of 1970 is a number that divides the number without remainder.
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, and 1970.
Negative factors of 1970: -1, -2, -5, -10, -197, -394, -985, and -1970.
Prime factors of 1970: 2, 5, and 197.
Prime factorization of 1970: 2 × 5 × 197.
The sum of factors of 1970: 1 + 2 + 5 + 10 + 197 + 394 + 985 + 1970 = 3564
How to Find Factors of 1970?
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 1970. Identifying the numbers which are multiplied to get the number 1970 is the multiplication method.
Step 1: Multiply 1970 by 1, 1970 × 1 = 1970.
Step 2: Check for other numbers that give 1970 after multiplying
2 × 985 = 1970
5 × 394 = 1970
10 × 197 = 1970
Therefore, the positive factor pairs of 1970 are: (1, 1970), (2, 985), (5, 394), (10, 197).
All these factor pairs result in 1970.
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 1970 by 1, 1970 ÷ 1 = 1970.
Step 2: Continue dividing 1970 by the numbers until the remainder becomes 0.
1970 ÷ 1 = 1970
1970 ÷ 2 = 985
1970 ÷ 5 = 394
1970 ÷ 10 = 197
Therefore, the factors of 1970 are: 1, 2, 5, 10, 197, 394, 985, 1970.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1970 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1970 ÷ 2 = 985
985 ÷ 5 = 197
197 ÷ 197 = 1
The prime factors of 1970 are 2, 5, and 197.
The prime factorization of 1970 is: 2 × 5 × 197.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1970 is divided by 2 to get 985.
Step 2: Now divide 985 by 5 to get 197. Step 3: Here, 197 is a prime number that cannot be divided anymore. So, the prime factorization of 1970 is: 2 × 5 × 197.
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 1970: (1, 1970), (2, 985), (5, 394), (10, 197).
Negative factor pairs of 1970: (-1, -1970), (-2, -985), (-5, -394), (-10, -197).
Common Mistakes and How to Avoid Them in Factors of 1970
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1970, 1 and 1970 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1970 include -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 1970/2.5 = 788, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 1970 are prime numbers.
For example, 2, 5, and 197 are the prime factors of 1970, but it has other factors like 10, 985.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1970 as 2 × 5 × 197 and missing key factors.
Factors of 1970 Examples
Problem 1
There are 10 friends and 1970 candies. How will they divide it equally?
They will get 197 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1970/10 = 197
Problem 2
A rectangular floor's length is 5 meters, and the total area is 1970 square meters. Find the width.
394 meters.
Explanation
To find the width of the floor, we use the formula,
Area = length × width
1970 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1970/5 = width
Width = 394.
Problem 3
There are 2 boxes and 1970 marbles. How many marbles will be in each box?
Each box will have 985 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1970/2 = 985
Problem 4
In a class, there are 1970 students, and 5 groups. How many students are there in each group?
There are 394 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1970/5 = 394
Problem 5
1970 pages need to be printed and placed in 197 batches. How many pages will go in each batch?
Each batch will have 10 pages.
Explanation
Divide the total pages by the batches.
1970/197 = 10
FAQs on Factors of 1970
1.What are the factors of 1970?
2.Mention the prime factors of 1970.
3.Is 1970 a multiple of 394?
4.Mention the factor pairs of 1970?
5.What is the square of 1970?
6.How can children in India use numbers in everyday life to understand Factors of 1970?
7.What are some fun ways kids in India can practice Factors of 1970 with numbers?
8.What role do numbers and Factors of 1970 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1970 skills?
Important Glossaries for Factor of 1970
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1970 are 1, 2, 5, 10, 197, 394, 985, and 1970.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 197 are prime factors of 1970.
- 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 1970 are (1, 1970), (2, 985), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers multiplied to get the original number.
- Division method: A method to find factors by dividing the original number by whole numbers until the remainder is zero.
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About BrightChamps in India
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.
