Factors of 27

📊 Total Factors: 4
🔢 Prime Factors: 3
Number Type: Composite Number

What Are the Factors of 27?

The factors of 27 are 1, 3, 9, 27. A factor is a whole number that divides 27 exactly without leaving a remainder. These factors can be used to simplify fractions, solve math problems, and understand number relationships.

How to Find the Factors of 27

To find the factors of 27, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

27 ÷ 1 = 27
27 ÷ 3 = 9
27 ÷ 9 = 3
27 ÷ 27 = 1

Is 27 Divisible by Other Numbers?

A number is divisible by another number if the division leaves no remainder.

❌ 27 is not divisible by 2
✅ 27 is divisible by 3
❌ 27 is not divisible by 4
❌ 27 is not divisible by 5
❌ 27 is not divisible by 6
❌ 27 is not divisible by 7
❌ 27 is not divisible by 8
✅ 27 is divisible by 9
❌ 27 is not divisible by 10

Real-Life Uses of Factors of 27

Factors of 27 are useful in mathematics, grouping objects, simplifying fractions, finding dimensions of rectangles, and solving division problems. Understanding factors helps students build a strong foundation in arithmetic and number theory.

All Factors of 27

1, 3, 9, 27

Factor Pairs of 27

• 1 × 27
• 3 × 9

Prime Factorization of 27

27 = 3 × 3 × 3

Worked Example: Finding Factors of 27

Step 1: Start testing numbers from 1 up to 27.

Step 2: Check which numbers divide 27 without leaving a remainder.

Step 3: The successful divisions are:

27 ÷ 1 = 27 (No remainder)
27 ÷ 3 = 9 (No remainder)
27 ÷ 9 = 3 (No remainder)
27 ÷ 27 = 1 (No remainder)

Answer: Therefore, the factors of 27 are 1, 3, 9, 27.

Number Facts Table

PropertyValue
Number27
Total Factors4
Largest Factor27
Smallest Factor1
Prime Factors3
Even / OddOdd
Prime / CompositeComposite
Perfect SquareNo
Perfect CubeYes

Properties of 27

Even or Odd: Odd Number

Prime or Composite: Composite Number

Perfect Square: No

Perfect Cube: Yes

Unique Prime Factors: 3

Interesting Facts About 27

• 27 is a composite number because it has more than two factors.
• 27 is an odd number.
• 27 is a perfect cube number.
• The prime factorization of 27 is 3 × 3 × 3.
• 27 has 4 total factors.

Is 27 Prime or Composite?

27 is a composite number because it has 4 factors.

Related Factors Pages

Factoring Calculator

Factoring Pro

Solve complex polynomials instantly

x² + 5x + 6 Simple Trinomial
6x² + 7x - 5 Complex Trinomial
4x² - 12x + 9 Perfect Square
x² - 49 Diff. of Squares
x³ - 27 Diff. of Cubes
2x² + 4x Common Factor
x³ + 3x² + 2x + 6 Grouping (NEW)
4x³ - 8x² + 12x Polynomial GCF
← Back to Examples
Result Type
Answer
Steps go here...

Frequently Asked Questions

What are the factors of 27?
1, 3, 9, 27

How many factors does 27 have?
4

Is 27 a prime number?
No

What is the largest factor of 27?
27

What is the smallest factor of 27?
1

What are the prime factors of 27?
3

Is 27 even or odd?
Odd

What is the factor pair of 27?
1 × 27, 3 × 9