Factors of 88 | Positive, Negative Factors & Prime Factorization
The number 88 is a composite number because it has more than two factors. To understand number properties better, explore our Math section and detailed lessons on Factors.
What Is a Factor?
A factor is a whole number that divides another number exactly, without leaving any remainder.
If a number divides evenly, it is called a factor.
How to Calculate the Factors of 88
To find the factors of 88, divide 88 by whole numbers and check which divisions give whole-number results.
Division Method
| Division | Result |
|---|---|
| 88 ÷ 1 | 88 |
| 88 ÷ 2 | 44 |
| 88 ÷ 4 | 22 |
| 88 ÷ 8 | 11 |
| 88 ÷ 11 | 8 |
| 88 ÷ 22 | 4 |
| 88 ÷ 44 | 2 |
| 88 ÷ 88 | 1 |
Positive Factors of 88
The positive factors of 88 are the numbers greater than zero that divide 88 evenly.
| Positive Factors |
|---|
| 1 |
| 2 |
| 4 |
| 8 |
| 11 |
| 22 |
| 44 |
| 88 |
Negative Factors of 88
Every positive factor has a corresponding negative factor.
| Negative Factors |
|---|
| –1 |
| –2 |
| –4 |
| –8 |
| –11 |
| –22 |
| –44 |
| –88 |
Factor Pairs of 88
Factor pairs are two numbers that multiply together to give 88.
Positive Factor Pairs
| Factor 1 | Factor 2 | Product |
|---|---|---|
| 1 | 88 | 88 |
| 2 | 44 | 88 |
| 4 | 22 | 88 |
| 8 | 11 | 88 |
Negative Factor Pairs
| Factor 1 | Factor 2 | Product |
|---|---|---|
| –1 | –88 | 88 |
| –2 | –44 | 88 |
| –4 | –22 | 88 |
| –8 | –11 | 88 |
Fractions of 88
The number 88 can be written as a fraction in many ways. A fraction represents a number as a ratio of two integers, where the denominator is not zero.
Common Fraction Forms of 88
| Fraction | Value |
|---|---|
| 88 ÷ 1 | 88 |
| 44 ÷ 2 | 88 |
| 22 ÷ 4 | 88 |
| 11 ÷ 8 | 88 |
| 8 ÷ 11 | 88 |
| 4 ÷ 22 | 88 |
| 2 ÷ 44 | 88 |
| 1 ÷ 88 | 88 |
All these fractions are equivalent forms of the number 88.
Prime Factorization of 88
Prime factorization expresses a number as a product of prime numbers only.
Step-by-Step Prime Factorization
| Step | Division | Result |
|---|---|---|
| 1 | 88 ÷ 2 | 44 |
| 2 | 44 ÷ 2 | 22 |
| 3 | 22 ÷ 2 | 11 |
| 4 | 11 ÷ 11 | 1 |
So,
❓ Frequently Asked Questions
❓ What are the factors of 88?
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88.
❓ How many factors does 88 have?
The number 88 has 8 positive factors and 8 negative factors.
❓ What are the positive factors of 88?
The positive factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88.
❓ What are the negative factors of 88?
The negative factors of 88 are –1, –2, –4, –8, –11, –22, –44, and –88.
❓ What are the factor pairs of 88?
The factor pairs of 88 are:
-
(1, 88)
-
(2, 44)
-
(4, 22)
-
(8, 11)
and their corresponding negative pairs.
❓ What is the prime factorization of 88?
The prime factorization of 88 is 2 × 2 × 2 × 11.
❓ Is 88 a prime number?
No, 88 is not a prime number. It is a composite number because it has more than two factors.
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