Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 10 friends and 1970 candies. How will they divide it equally?
They will get 197 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
1970/10 = 197
A rectangular floor's length is 5 meters, and the total area is 1970 square meters. Find the width.
394 meters.
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.
There are 2 boxes and 1970 marbles. How many marbles will be in each box?
Each box will have 985 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
1970/2 = 985
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.
Dividing the students by the total groups, we will get the number of students in each group.
1970/5 = 394
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.
Divide the total pages by the batches.
1970/197 = 10
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.
: She loves to read number jokes and games.