When we are asked to find the factors of a number, it means we need to find all the whole numbers that can be divided into that number without leaving a remainder. Today, we will be focusing on the number 97. Understanding factors is crucial, as this concept is widely used in many areas of math, from basic arithmetic to more advanced topics. Let's dive into the details about factors of 97.

## What Are Factors?

Factors are **whole numbers** that can be *divided* into another number exactly without leaving a **remainder**. In simple terms, if you can multiply two whole numbers to get another number, then those two numbers are factors of the third number. For instance, the factors of 8 include 1, 2, 4, and 8 because 1 × 8, 2 × 4, 4 × 2, and 8 × 1 all give 8.

## Factors Of 97

Here, we will list the factors of 97:

- 1
- 97

## How To Calculate The Factors Of 97

To find the factors of 97, we need to determine which whole numbers can divide 97 without leaving a remainder. Since 97 is a prime number, the only factors will be 1 and 97 itself.

## Calculating The Factors Of 97 Using The Multiplication Method

To use the multiplication method, we need to identify pairs of numbers that, when multiplied together, result in 97. We check combinations starting from 1 up to 97:

**1 × 97 = 97**

In this case, the only pair of factors is (1, 97). Therefore, 1 and 97 are the only factors.

## Calculating The Factors Of 97 Using The Division Method

In the division method, we need to check which numbers can divide 97 evenly. We start by dividing 97 by whole numbers starting from 1:

- 97 ÷ 1 = 97
- 97 ÷ 97 = 1

Since 97 is only divisible by 1 and 97 without leaving any remainder, these are the factors of 97.

## What Is Prime Factorization?

**Prime factorization** is when we break down a number into its prime numbers that, when multiplied together, give the original number. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.

## Prime Factors Of 97

Given that 97 is a prime number, the prime factor is:

- 97

## Conclusion

Understanding the factors of 97 helps us see that it's a prime number, only divisible by 1 and 97. Knowing this can be quite helpful in various areas of mathematics, from simplifying fractions to solving more complex problems.

## FAQs

**Q: What are factors?**

A: Factors are whole numbers that can be divided into another number without leaving a remainder.

**Q: Is 97 a prime number?**

A: Yes, 97 is a prime number because its only factors are 1 and 97.

**Q: How can I find the factors of a number?**

A: You can find the factors by checking which whole numbers can divide the number evenly without leaving a remainder.

**Q: What is prime factorization?**

A: Prime factorization is the process of breaking down a number into its prime numbers that, when multiplied together, give the original number.

**Q: What are the prime factors of 97?**

A: The prime factor of 97 is 97 itself.