Factors

# Factors of 88 | Prime Factorization of 88 | Factor Tree of 88

Written by Prerit Jain

Updated on: 12 Jun 2023

Contents

### Factors of 88 | Prime Factorization of 88 | Factor Tree of 88

## Factors of 88

Factors of 88 | Factor Pairs of 88 | Prime factors of 88 |

1, 2, 4, 8, 11, 22, 44, and 88 | (1,88), (2,44), (4,22), (8,11). | 2 x 11 |

**Factors of 88**,

**Factor Pairs of 88**,

**Prime factors of 88**

Calculate Factors of

**The Factors are**

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## What are the factors of 88

The factors of 88 are the numbers that divide evenly into 88. Some of the factors of 88 are:1, 2, 4, 8, 11, 22, 44, 88

To find all the factors of 88, we can list the numbers from 1 to 88 and check which ones divide evenly into 88. Alternatively, we can use the prime factorization of 88 to find its factors. The prime factorization of 88 is 2 x 2 x 22, so the factors of 88 are all the numbers that can be expressed as a product of these prime factors.

## How to Find Factors of 88

There are several ways to find the factors of 88 and they are as follows: :

- Factors of 88 using the Multiplication Method
- Factors of 88 using the Division Method
- Prime Factorization of 88
- Factor tree of 88

## Factors of 88 Using the Multiplication Method

The factors of 88 using the multiplication method are the numbers that can be multiplied together to equal 88. To find all the factors of 88 using the multiplication method, we can use one of the following methods:

- List all the pairs of numbers whose product is 88.
- Use the prime factorization of 88 to find its factors. The prime factorization of 88 is 2 x 2 x 22, so the factors of 88 using the multiplication method are all the numbers that can be expressed as a product of these prime factors.

Using either of these methods, we can find the factors of 88 using the multiplication method, which are the numbers that can be multiplied together to equal 88.

## Factors of 88 Using the Division Method

The factors of 88 using the division method are the numbers that divide evenly into 88. To find all the factors of 88 using the division method, we can use one of the following methods:

- List the numbers from 1 to 88 and check which ones divide evenly into 88.
- Use the prime factorization of 88 to find its factors. The prime factorization of 88 is 2 x 2 x 22, so the factors of 88 using the division method are all the numbers that can be expressed as a product of these prime factors.

Using either of these methods, we can find the factors of 88 using the division method, which are the numbers that divide evenly into 88.

## Prime Factorization of 88

Calculate Prime Factors of

The Prime Factors of 88 =

2 x

2 x

2 x

11

The prime factorization of 88 is 2 x 2 x 11. To find the prime factorization of a number, you can divide the number by the smallest possible prime factor and continue dividing the result by prime numbers until you obtain a prime number. In this case, the smallest prime factor of 88 is 2, and 88 divided by 2 is 44. 44 is not a prime number, so you can divide it by 2 again to get 22. 22 is not a prime number either, so you can divide it by 2 one more time to get 11, which is a prime number. This means that 88 can be written as 2 x 2 x 11, which is its prime factorization.

## Factor tree of 88

A factor tree is a graphical representation of the prime factorization of a number. It shows the factors of a number, and the factors of those factors until all the factors are prime numbers.

To create a factor tree for 88, we can start by finding a factor of 88. One factor of 88 is 8, so we can write 88 as 8 * 11.

88 = 8 * 11

We can then find factors 8 and 11. The factors of 8 are 2 and 4, and the factors of 11 are just 1 and 11. Substituting these values back into the original equation, we get:

88 = 2 * 4 * 1 * 11

This is the complete factor tree for 88. It shows that 88 can be expressed as the product of the prime numbers 2, 11, and 4.

## Factor Pairs of 88

Calculate Pair Factors of

1 x 88=88

2 x 44=88

4 x 22=88

8 x 11=88

11 x 8=88

22 x 4=88

44 x 2=88

So Pair Factors of 88 are

(1,88)

(2,44)

(4,22)

(8,11)

(11,8)

(22,4)

(44,2)

The factor pairs of 88 are the pairs of numbers that can be multiplied together to equal 88. Here are all the factor pairs of 88:

(1, 88), (2, 44), (4, 22), (8, 11)

To find the factor pairs of a number, you can start by dividing the number by the smaller prime numbers (2, 3, 5, 7, etc.) until you find a pair of factors that can be multiplied to equal the original number.

For example, to find the factor pairs of 88, we can start by dividing 88 by 2. 88 divided by 2 is 44, so (2, 44) is a factor pair of 88.

We can then divide 44 by 2 to get 22, so (4, 22) is another factor pair of 88.

We can continue this process until we find all the factor pairs of 88. In this case, we only need to divide 88 by 2 and 8 to find all the factor pairs.

## More factors

## Factors of 88 – Quick Recap

**Factors of 88:**1, 2, 4, 8, 11, 22, 44, and 88**Negative Factors of 88:**(-1, -88), (-2, -44), (-2, -22) and (-8, -11).**Prime Factors of 88:**2 and 11.**Prime Factorization of 88:**2 and 11

## Factors of 88 – Fun Facts

- 88 is a composite number, which means it has more than two factors. Its factors are 1, 2, 4, 8, 11, 22, 44, and 88.
- 88 is the sum of the cubes of the first three prime numbers (2 + 3 + 5 = 88).
- 88 is a palindrome, which means it reads the same forward and backwards.
- 88 is divisible by the first six positive integers (1, 2, 3, 4, 5, 6).
- The sum of the proper factors of 88 (the factors of 88, excluding 88 itself) is 48, which is also a factor of 88.

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

## Solved Examples of Factor of 88

**Q.1: Find two numbers that multiply together to equal 88. **

Solution**:** The two numbers that multiply together to equal 88 are 11 and 8, since 11 x 8 = 88.

** Q.2: What is the smallest number that can go into 88? Solution: **The smallest number that can go into 88 is 1 since any number divided by 1 will remain unchanged.

** Q.3: Find the prime factorization of 88. Solution: **The prime factorization of 88 is 2 x 2 x 2 x 11; since 2 x 2 x 2 x 11 = 88.

** Q.4: How many even factors does 88 have? Solution: **There are 6 even factors of 88; 2, 4, 8, 22, 44 and 88.

** Q.5: List all the pairs of factors for 88 in increasing order. Solution:** The pairs of factors for 88 in increasing order are (1,88 ), (2,44), (4,22), (8,11).

**Q.6:** What is the greatest common factor for 81 and 87?** Solution: **The greatest common factor for 81 and 87 is 3 since 3 is the only integer between them which can be evenly divided into both numbers without a remainder (no shared divisors).

** Q.7: Is there any perfect square within the range of numerators from 85 to 89? Solution:** There are no perfect squares within the range of numerators from 85 to 89.

** Q.8: Does 84 have any cube factors? If so name them… Solution: **The prime factorization of 84 is 2 * 2 * 3 * 7. Among the prime factors, we have two 2s and one 3. None of these prime factors occurs in groups of three. Therefore, 84 does not have any cube factors.

**Q.9:** What would be the least common multiple between 77 and 83?** Solution: **The least common multiple between 77 and 83 is 6391.

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## Frequently Asked Questions on Factors of 88

**List all the pairs of factors for 88 in increasing order.**

The pairs of factors for 88 in increasing order are (1,88), (2,44), (4,22), (8,11).

**What is the smallest number that can go into 88?**

The smallest number that can go into 88 is 1 since any number divided by 1 will remain unchanged.

**How many even factors does 88 have?**

There are 6 even factors of 88; 2, 4, 8, 22, 44 and 88.

**What is the greatest common factor for 81 and 87?**

The greatest common factor for 81 and 87 is 3 since 3 is the only integer between them which can be evenly divided into both numbers without a remainder (no shared divisors) .

**Is there any perfect square within the range of numerators from 85 to 89?**

There are no perfect squares within the range of numerators from 85 to 89.

**Does 84 have any cube factors?** **If so name them**.

The prime factorization of 84 is 2 * 2 * 3 * 7. Among the prime factors, we have two 2s and one 3. None of these prime factors occurs in groups of three. Therefore, 84 does not have any cube factors.

**What would be the least common multiple between 30 and 42?**

The least common multiple of 30 and 42 is 210.

**Find the prime factorization of 88.**

The prime factorization of 88 is 2 x 2 x 2 x 11; since 2 x 2 x 2 x 11 = 88.

Written by by

Prerit Jain