132 LearnersLast updated on May 26th, 2025
Factors of 97
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 97, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 97?
The numbers that divide 97 evenly are known as factors of 97. A factor of 97 is a number that divides the number without a remainder. The factors of 97 are 1 and 97.
Negative factors of 97: -1 and -97.
Prime factors of 97: 97 itself, as it is a prime number.
Prime factorization of 97: 97, since it is a prime number.
The sum of factors of 97: 1 + 97 = 98
How to Find Factors of 97?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 97. Since 97 is a prime number, the only multiplication that works for 97 is 1 × 97.
Step 1: Multiply 97 by 1, 97 × 1 = 97.
Therefore, the positive factor pairs of 97 are: (1, 97).
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 97 by 1, 97 ÷ 1 = 97.
Since 97 is a prime number, it is not divisible by any other whole numbers except itself and 1. Therefore, the factors of 97 are: 1 and 97.
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 97 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
Since 97 is a prime number, it has no other prime factors except itself. The prime factorization of 97 is: 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. In the case of 97, since it is a prime number, the factor tree is quite simple: 97 is directly a prime number and cannot be broken down further. So, the prime factorization of 97 is: 97.
Common Mistakes and How to Avoid Them in Factors of 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.
Mistake 1
Forgetting the number itself and 1 is a factor
People 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 97, 1 and 97 are the factors.
Factors of 97 Examples
Problem 1
There are 97 apples to be distributed equally among tables. If each table gets 1 apple, how many tables are there?
There are 97 tables.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of apples each table gets.
97/1 = 97
Problem 2
A park has 97 trees arranged in a single row. If each section of the park has 1 tree, how many sections are there?
There are 97 sections.
Explanation
To find the number of sections,
we use the formula,
97 trees / 1 tree per section = 97 sections
Problem 3
A recipe requires exactly 97 grams of spice. If each packet contains 1 gram, how many packets are needed?
97 packets are needed.
Explanation
To find the number of packets needed,
divide the total grams by grams per packet.
97/1 = 97
Problem 4
A student reads 97 pages of a book, reading 1 page each day. How many days will it take?
It will take 97 days.
Explanation
Dividing the total pages by the pages read per day,
we will get the number of days.
97/1 = 97
Problem 5
97 students each receive 1 notebook. How many notebooks are distributed?
97 notebooks are distributed.
Explanation
Divide total notebooks by the number each student receives.
97/1 = 97
FAQs on Factors of 97
1.What are the factors of 97?
2.Mention the prime factors of 97.
3.Is 97 a multiple of any number besides 1 and itself?
4.Mention the factor pairs of 97?
5.What is the square of 97?
6.How can children in United States use numbers in everyday life to understand Factors of 97?
7.What are some fun ways kids in United States can practice Factors of 97 with numbers?
8.What role do numbers and Factors of 97 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 97 skills?
Important Glossaries for Factor of 97
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 97 are 1 and 97.
- Prime factors: The factors which are prime numbers. For example, 97 is its own prime factor.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 97 is (1, 97).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. 97 is an example of a prime number.
- Division method: A method to find factors by dividing the number by integers to check for zero remainders.
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About BrightChamps in United States
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.
