163 LearnersLast updated on May 26th, 2025
Factors of 88
The factors of 88 are numbers that divide 88 completely with zero remainder. In daily life, factors can be used in arranging things evenly.
What are the Factors of 88
The factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88
Negative Factors: For each positive factor, there is a corresponding negative factor.
Negative factors: -1 -2, -4, -8, -11, -22, -44, -88
Prime Factors: Prime factors are the prime numbers that can be divided by 1 and the number itself.
The prime factors of 88 are: 2, 11
Prime Factorization: The product of prime factors gets expressed in its exponential form.
It is expressed as 23 × 111
Table listing the factors of 88
How to Find the Factors of 88
We can use various methods to find the factors of 88. Here’s a list of methods that can be used:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
In the multiplication method, we find pairs of numbers whose product will be 88. The steps used are:
Step 1: Identify the pair of numbers that will give 88 as the product.
Step 2: These numbers will be identified as the factors of 88
Step 3: Make a list of pair of numbers whose product will be 88.
A list of numbers whose products are 88 is given below:
- 1 × 88 = 88
- 2 × 44 = 88
- 4 × 22 = 88
- 8 × 11 = 88
Finding Factors Using Division Method
For the division method, the divisor, and the quotient are its factors.
Step-by-step process
Step 1: Always start the division with 1, since 1 is the smallest factor of any given number. Example: 88÷1 = 88.
Here, 1 and 88 are the factors
Step 2: Move on to the next number and check if 88 is getting completely divided. Continue this process until you can’t divide 88 anymore.
Overview of Factors of 88 using the division method
Prime Factors and Prime Factorization
Prime factorization is the process where the prime factors are expressed in their exponential form. The prime numbers are numbers that can only be divided by 1 and the number itself.
Prime Factors of 88:There are two prime factors for 88.
Prime factors of 88: 2, 11
To find the factors of 88,
Step 1: Divide 88 using the prime number 2
88÷2 = 44
44÷2 = 22
22÷2 = 11
Step 2: Divide 11 with the prime number 11
11÷11 = 1
For the prime factorization method, 88 can be expressed as 23 × 111.
Factor Tree
The factor tree gives you the visual representation of prime factorization.
Factor Tree for 88:
Factor Pairs
Factor pairs are formed when two factors are grouped. When these factor pairs are multiplied together, we get 88 as the product.
Positive Factor Pairs: (1,88), (2,44), (4,22), (8,11)
Negative Factor Pairs: (-1,-88), (-2,-44), (-4,-22), (-8,-11)
Common Mistakes and How to Avoid Them in Factors of 88
some common mistakes with their solutions are given:
Mistake 1
Not including 1 and 88 as factors of 88
Kids can forget to include 1 and 88 as factors. Remember that for any given number, 1 and the number itself will be there as its factor. So, the factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88.
Solved Examples
Problem 1
Is 4 a factor of 88? If yes, what will be the quotient?
Yes, 4 is a factor of 88. The quotient will be 22.
Explanation
4 is a factor of 88 because 88 is completely divisible 4. When 88 is divided by 4 (88÷4) we get 22 as the quotient and the remainder will be zero.
Problem 2
Can you list the factors of 88 in descending order?
Yes, the factors of 88 can be written in descending order as 88, 44, 22, 11, 8, 4, 2, 1.
Explanation
We find the factors of 88 and usually write in ascending order (from smaller to bigger). Descending order means to write the factors from bigger to smaller. So the factors of 88 when written in descending order will be 88, 44, 22, 11, 8, 4, 2, 1.
Problem 3
Identify the multiples of 11 from the factors of 88
The multiples of 11 from the factors of 88 are 11, 22, 44 and 88.
Explanation
Multiples are numbers we get when another number multiplies the given number. Here, multiples of 11 are numbers we get when 11 is multiplied by another.
The multiples of 11 from factors of 88 are 11 (1×11), 22 (2×11), 44 (4×11), 88 (8×11).
FAQs on Factors of 88
1.What is the greatest common factor of 88?
2.How to find the factors of 88?
3.What multiples to 88?
4.What is 88 divisible by?
5.What factors of 88 are not prime?
6.How can children in Qatar use numbers in everyday life to understand Factors of 88?
7.What are some fun ways kids in Qatar can practice Factors of 88 with numbers?
8.What role do numbers and Factors of 88 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 88 skills?
Important Glossaries for Factors of 88
- Quotient: It is the number that gets as a result of division.
- Factors: Numbers that divide the given number completely without any remainder.
- Prime Factors: Prime numbers that multiply together to form the given number.
- Prime Factorization: Process of breaking down the number into prime factors.
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