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 971, how they are used in real life, and tips to learn them quickly.
The numbers that divide 971 evenly are known as factors of 971.
A factor of 971 is a number that divides the number without remainder.
The factors of 971 are 1 and 971.
Negative factors of 971: -1 and -971.
Prime factors of 971: 971 (since 971 is a prime number).
Prime factorization of 971: 971.
The sum of factors of 971: 1 + 971 = 972
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 971. Identifying the numbers which are multiplied to get the number 971 is the multiplication method. Since 971 is a prime number, its only multiplication pair is:
Step 1: Multiply 971 by 1, 971 × 1 = 971.
Therefore, the only positive factor pair of 971 is: (1, 971).
For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 971 by 1, 971 ÷ 1 = 971.
Step 2: Check divisibility by other numbers.
Since 971 is a prime number, only 1 and 971 divide it without leaving a remainder.
Therefore, the factors of 971 are: 1 and 971.
The factors can be found by dividing it with prime numbers. Since 971 is a prime number, its only prime factor is itself.
Using Prime Factorization: In this process, since 971 is prime, it can't be broken down further into other prime factors.
The prime factorization of 971 is: 971.
The factor tree is the graphical representation of breaking down any number into prime factors. For a prime number like 971, the factor tree is simple:
Step 1: Start with 971, which is already a prime number.
The prime factorization of 971 is: 971.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Positive factor pair of 971: (1, 971).
Negative factor pair of 971: (-1, -971).
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 971 apples and 1 basket. How will they be arranged?
All 971 apples will be in the one basket.
To find how apples will be arranged, since there is only one basket, all 971 apples will go into that basket.
A parade has 971 participants and each row has 1 participant. How many rows are there?
There are 971 rows.
To find the number of rows, since each row has 1 participant:
971/1 = 971
A marathon has 971 runners with each runner having their own lane. How many lanes are there?
There are 971 lanes.
Since each runner has their own lane, the number of lanes is equal to the number of runners:
971/1 = 971
A farmer has 971 cages and each cage holds one rabbit. How many rabbits does the farmer have?
The farmer has 971 rabbits.
Since each cage holds one rabbit, the number of cages is equal to the number of rabbits:
971/1 = 971
971 students need to be seated in an auditorium with 1 seat per student. How many seats are needed?
971 seats are needed.
Since each student requires one seat, the number of students equals the number of seats needed:
971/1 = 971
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.