Architecture

# Q: What Is The Prime Factorization Of 88 ? Factors Of 88

Factors of 88 are the numbers which when multiplied in pairs give the product as 88. These factors can be negative as well. The number 88 is an even composite number. In this lesson, we will calculate the factors of 88, prime factors of 88, and factors of 88 in pairs along with solved examples for a better understanding.

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Factors of 88: 1, 2, 4, 8, 11, 22, 44, and 88Prime Factorization of 88: 88 = 23 × 11

 1 What Are the Factors of 88? 2 How to Calculate Factors of 88? 3 Factors of 88 by Prime Factorization 4 Factors of 88 in Pairs 5 FAQs on Factors of 88

## What are the Factors of 88?

Factors of a number are the numbers that divide the given number exactly without any remainder. For example,

88 ÷ 2 = 442 and 44 are factors of 88.Factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88

## How to Calculate the Factors of 88?

Different methods like prime factorization and the division method can be used to calculate the factors of 88. In prime factorization, we express 88 as a product of its prime factors and in the division method, we see what numbers divide 88 exactly without a remainder.

Important Notes:

Factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88

Explore factors using illustrations and interactive examples

## Factors of 88 by Prime Factorization

Prime factorization means expressing a given number in terms of the product of its prime factors. We can use the division method or factor tree to do this.

### 1. Prime Factorization by Division

The number 88 is divided by the smallest prime number which divides 88 exactly, i.e. it leaves a remainder 0. The quotient is then divided by the smallest or second smallest prime number and the process continues till the quotient becomes indivisible. Let us divide 88 by the prime number 2

88 ÷ 2=44

Now we need to divide the quotient 44 by the next least prime number. Since 44 is an even number, it is divisible by 2

44 ÷ 2=22

22 will again be divisible by 2

22 ÷ 2=11

11 is a prime number and hence not further divisible.

Prime factorization of 88 = 2 × 2 × 2 × 11

Therefore, the prime factors of 88 are 2 and 11

### 2. Prime Factorization by Factor Tree

The other way of prime factorization is taking 88 as the root and creating branches by dividing it by the smallest prime number. This method is similar to the division method above. The difference lies in presenting the factorization.The figure below shows the factor tree of 88

Collect all the numbers in circles and write 88 as the product of these numbers.

Hence,

88 = 2 × 2 × 2 × 11

## Factors of 88 in Pairs

The factor pairs of a number are the two numbers which, when multiplied, give the required number. Factor pairs of 88 are:

1 × 882 × 444 × 228 × 11

So, the factor pairs of 88 are : (1,88), (2,44), (4,22), (8,11)

The product of two negative numbers is positive i.e. (-ve) × (-ve)=(+ve)So, (-1,-88), (-2,-44), (-4,-22), and (-8,-11) are also factor pairs of 88

Example 1: It”s Sam”s birthday. He, along with his friends, loves balloons. So, he brought 88 balloons and distributed them equally among them in the birthday party. If each of his friends receives 8 balloons, will there be any balloon left after distributing 8 balloons to each friend? How many friends did he invite?

Solution:

Total number of balloons = 888 is a factor of 88, which means when we divide 88 by 8, the remainder = 0So, there will be no balloon left after distributing 8 ballons to each friend.Now, to find the number of friends we need to compute 88 ÷ 888 ÷ 8=11Hence, he invited 11 friends.

Example 2: Jessy loves cupcakes. She eats 2 cupcakes every day. In how many days will she eat 88 cupcakes?

Solution:

Total number of cupcakes = 88To find the number of days she will take to finish 88 cupcakes, we will divide 88 by 288 ÷ 2=44We can also solve the problem by using the information that (2, 44) are pair factors of 88. So, having known that 2 as one of the 88, the other factor is 44Hence, in 44 days she will eat 88 cupcakes.

Example 3: Sam wants to find if the numbers 78, 88, and 99 have any common factor other than 1. Can you help him do it?

Solution

Factors of 78 are 1, 2, 3, 6, 13, 26, 39 and 78Factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88Factors of 99 are 1, 3, 9, 11, 33 and 99So, there is no number other than 1 common to all.Hence, 78, 88, and 99 don”t have any common factor other than 1