Understanding factors can be very beneficial in many different areas of math, including solving problems and understanding number properties. In today's lesson, let's explore the factors of the number 79.

## What Are Factors?

Factors are numbers that you can multiply together to get another number. For example, in the case of the number 6, the factors are 1, 2, 3, and 6 because:

- 1 x 6 = 6
- 2 x 3 = 6

When we're looking for factors, we're simply looking for all the whole numbers that can divide the number without leaving a remainder.

## List of Factors of 79

79 is a special number because it doesn’t have many factors. In fact, the factors of 79 are:

- 1
- 79

## How To Calculate The Factors Of 79

To find the factors of a number, we need to see which numbers can divide it exactly without leaving a remainder. Since 79 is a prime number, this process is relatively quick.

## Calculating Factors Using The Multiplication Method

When using the multiplication method to find the factors of 79, we look for pairs of numbers that, when multiplied, result in 79. Here are the steps:

- Start with the number 1. We know that 1 multiplied by 79 gives us 79.
- Next, check if any other pairs of whole numbers multiply to 79. We find that no other pairs do.

Since 79 is a prime number, the only factors are 1 and 79.

## Calculating Factors Using The Division Method

Now let's use the division method to find the factors of 79:

- Begin with the number 1. Divide 79 by 1, which results in 79, so both 1 and 79 are factors.
- Try dividing 79 by 2, 3, 4, etc. No other numbers divide 79 exactly without leaving a remainder.

Thus, the only factors of 79 are 1 and 79.

## What Is Prime Factorization?

**Prime Factorization** is the process of breaking a number down into its smallest prime numbers that multiply together to give the original number. Since prime numbers only have two factors, 1 and themselves, this helps us understand the building blocks of a larger number.

## Prime Factors Of 79

79 is a prime number, which means it cannot be broken down into smaller prime numbers. The only prime factors of 79 are:

- 79

## Conclusion

Understanding factors, especially of prime numbers like 79, helps in grasping the fundamental concepts of **number theory**. Factors of 79 are simple because it is a prime number, making the factors just 1 and 79.

## FAQs

### What Are Factors?

Factors are numbers you multiply together to get another number.

### Is 79 A Prime Number?

Yes, 79 is a prime number because it has only two factors: 1 and 79.

### What Are The Factors Of 79?

The factors of 79 are 1 and 79.

### How Do You Find The Factors Of A Number?

You find the factors by determining which numbers can divide the original number exactly without leaving a remainder.

### Can 79 Be Broken Down Further?

No, since 79 is a prime number, it cannot be broken down further into other factors.