Factors

# Factors of 79 | Prime Factorization of 79 | Factor Tree of 79

Written by Prerit Jain

Updated on: 12 Jun 2023

Contents

### Factors of 79 | Prime Factorization of 79 | Factor Tree of 79

## Factors of 79

Factors of 79 | Factor Pairs of 79 | Prime factors of 79 |

1, 79 | (1,79) | 79 |

**Factors of 79**,

**Factor Pairs of 79**,

**Prime factors of 79**

Calculate Factors of

**The Factors are**

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## What are the factors of 79

- Write the number 79 at the top of a sheet of paper.
- Divide 79 by all the numbers from 1 to 79. Write the numbers that divide evenly into 79 on the sheet of paper.

For example, when you divide 79 by 1, you get 79 is a factor of 79, so you would write it on a sheet of paper. When you divide 79 by 2, you get 39 with a remainder of 1. Since there is a remainder, 2 is not a factor of 79, so you would not write it on the sheet of paper. When you divide 79 by 3, you get 26 with a remainder of 1. Since there is a remainder, 3 is not a factor of 79, so you would not write it on the sheet of paper. When you divide 79 by 4, you get 19 with a remainder of 3. Since there is a remainder, 4 is not a factor of 79, so you would not write it on the sheet of paper. You would continue this process until you have checked all the numbers from 1 to 79.

Using this method, you would find that the factors of 79 are 1 and 79.

## How to Find Factors of 79

There are several ways to find the factors of 79:

- Factors of 79 using the Multiplication Method
- Factors of 79 using the Division Method
- Prime Factorization of 79
- Factor tree of 79

## Factors of 79 Using the Multiplication Method

To find the factors of 79 using the multiplication method, follow these steps:

- Write down the number 79.
- Multiply 79 by 1. The result is 79.
- Multiply 79 by -1. The result is -79.

**The factors of 79 are 1, -1, 79, and -79.**

## Factors of 79 Using the Division Method

- Write the number 79 at the top of a sheet of paper.
- Divide 79 by the smallest prime number, which is 2. The result is 39 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 3. The result is 26 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 5. The result is 15 with a remainder of 4.
- Divide 79 by the next smallest prime number, which is 7. The result is 11 with a remainder of 4.
- Check if 79 has any more factors by dividing it by the next smallest prime number, which is 11. The result is 7 with a remainder of 2, so 11 is not a factor of 79.

**The factors of 79 are 1 and 79.**

## Prime Factorization of 79

Calculate Prime Factors of

The Prime Factors of 79 =

79

- Write the number 79 at the top of a sheet of paper.
- Divide 79 by the smallest prime number, which is 2. The result is 39 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 3. The result is 26 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 5. The result is 15 with a remainder of 4.
- Divide 79 by the next smallest prime number, which is 7. The result is 11 with a remainder of 4.
- Check if 79 has any more factors by dividing it by the next smallest prime number, which is 11. The result is 7 with a remainder of 2, so 11 is not a factor of 79.
- Since 79 is not divisible by any other numbers, it is a prime number.

The prime factorization of 79 is 79. This means that 79 is a prime number and its only prime factors are itself.

## Factor tree of 79

- Write the number 79 at the top of a sheet of paper.
- Find the prime factorization of 79. To do this, divide 79 by the smallest prime number (2) until the result is a prime number. The prime factorization of 79 is 79.
- Create a tree diagram to represent the prime factorization of 79.

Here’s how to create a tree diagram to represent the prime factorization of 79:

- Write the number 79 at the top of a sheet of paper.
- Write the prime factors of 79 (79) below the number 79.
- For each prime factor, create two branches. One branch will have the factor and the other will not.

Using this method, the factor tree of 79 would look like this:

79

1

The prime factorization of 79 is 79 * 1. This means that 79 is a prime number and its only prime factors are itself.

## Factor Pairs of 79

Calculate Pair Factors of

1 x 79=79

So Pair Factors of 79 are

(1,79)

- Write the number 79 at the top of a sheet of paper.
- Divide 79 by the smallest prime number, which is 2. The result is 39 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 3. The result is 26 with a remainder of 1.
- Divide 79 by the next smallest prime number, which is 5. The result is 15 with a remainder of 4.
- Divide 79 by the next smallest prime number, which is 7. The result is 11 with a remainder of 4.

Since 79 cannot be evenly divided by any other numbers, it has no more factors.

**The factor pairs of 79 are (1, 79) and (-1, -79).**

## More factors

## Factors of 79 – Quick Recap

**Factors of 79:**1 and 79.**Negative Factors of 79:**-1, -79**Prime Factors of 79:**1 and 79**Prime Factorization of 79:**1 and 79

## Factors of 79 – Fun Facts

- 79 is a prime number, which means that its only factors are 1 and itself.
- 79 is the 12th prime number.
- The sum of the factors of 79 (1 and 79) is 80.
- The product of factors 79 (1 and 79) is 79.
- 79 is a palindrome, which means that it is the same forward and backwards (79).

**Also Check**: Multiples, Square Root, and LCM

## Solved Examples of Factor of 79

**Q.1: Find the greatest common factor: The numbers are 79 and 27.Solution: **The factors of 79 are 1 and 79. The factors of 27 are 1, 3, 9, and 27. The only common factor between 79 and 27 is 1.

** Q.2: List all the factors of 79.Solution:** The factors of 79 are 1 and 79.

** Q.3: What number can divide into 79 evenly? Solution:** Any number from 1-79 can divide into 79 with no remainders, but some will produce fractions or decimals instead of a whole number result.

** Q.4: Is there a difference between the factors and multiples of 79? Solution: **While factors and multiples have similar definitions in that they both refer to groups or collections of related numbers generated by multiplying or dividing a given number, there is an important difference between them – factors refer to how many times the original number can be divided evenly while multiples make reference to how many times it has been multiplied by itself.

** Q.5: What is the least common multiple (LCM)of 79? Solution: **The least common multiple (LCM) of 79 is 79 itself.

**Q.6:** What is the sum of all positive integer divisors for 79?** Solution: **The divisors of 79 are 1 and 79. Sum = 1 + 79 = 80.

**Q.7:** What Are Some Examples Of Factors Of 79? ** Solution: **The factors of 79 are 1 and 79.

**Q.8:** How do you calculate the LCM (Least Common Multiple)of 79?** Solution: **Since 79 is a prime number, its only factors are 1 and 79. Therefore, the LCM of 79 and any other number will be their product.

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## Frequently Asked Questions on Factors of 79

**Find the greatest common factor: The numbers are 79 and 27**.

**Find the greatest common factor: The numbers are 79 and 27**

The factors of 79 are 1 and 79. The factors of 27 are 1, 3, 9, and 27. The only common factor between 79 and 27 is 1.

**How many factors does 79 have?**

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

**What number can divide into 79 evenly?**

The only numbers that can divide into 79 evenly are 1 and 79. Since 79 is a prime number, it is divisible only by 1 and itself without leaving a remainder.

**Is there a difference between the factors and multiples of 79?**

While factors and multiples have similar definitions in that they both refer to groups or collections of related numbers generated by multiplying or dividing a given number, there is an important difference between them – factors refer to how many times the original number can be divided evenly while multiples make reference to how many times it has been multiplied by itself.

**What is the least common multiple (LCM) of 79?**

The least common multiple (LCM) of 79 is 79 itself. Since 79 is a prime number, it does not have any common multiples with other numbers. Therefore, the LCM of 79 is simply 79.

**What is the sum of all positive integer divisors for 79?**

The divisors of 79 are 1 and 79.

Sum = 1 + 79 = 80.

**How do you calculate the LCM (Least Common Multiple) of 79?**

Since 79 is a prime number, its only factors are 1 and 79. Therefore, the LCM of 79 and any other number will be their product.

Written by by

Prerit Jain