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 970, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the total distance equally, we need to divide the total meters by the number of groups.
970/97 = 10
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.
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.
There are 970 apples to be distributed among 485 people. How many apples will each person receive?
Each person will receive 2 apples.
To find the apples each person receives, divide the total apples by the number of people.
970/485 = 2
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.
Dividing the total items by the number of boxes, we will get the number of items in each box.
970/10 = 97
970 chairs need to be arranged in 5 rows. How many chairs will go in each row?
Each of the rows has 194 chairs.
Divide total chairs by rows.
970/5 = 194
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.