Factors of 12 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 6
🔢 Prime Factors: 2, 3
✅ Number Type: Composite Number

What Are the Factors of 12?

The factors of 12 are 1, 2, 3, 4, 6, 12. A factor is a whole number that divides 12 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 12

To find the factors of 12, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

12 ÷ 1 = 12
12 ÷ 2 = 6
12 ÷ 3 = 4
12 ÷ 4 = 3
12 ÷ 6 = 2
12 ÷ 12 = 1

Is 12 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 12

Factors of 12 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 12

1, 2, 3, 4, 6, 12

Factor Pairs of 12

• 1 × 12
• 2 × 6
• 3 × 4

Prime Factorization of 12

12 = 2 × 2 × 3

Worked Example: Finding Factors of 12

Step 1: Start testing numbers from 1 up to 12.

Step 2: Check which numbers divide 12 without leaving a remainder.

Step 3: The successful divisions are:

12 ÷ 1 = 12 (No remainder)
12 ÷ 2 = 6 (No remainder)
12 ÷ 3 = 4 (No remainder)
12 ÷ 4 = 3 (No remainder)
12 ÷ 6 = 2 (No remainder)
12 ÷ 12 = 1 (No remainder)

Answer: Therefore, the factors of 12 are 1, 2, 3, 4, 6, 12.

Number Facts Table

Property	Value
Number	12
Total Factors	6
Largest Factor	12
Smallest Factor	1
Prime Factors	2, 3
Even / Odd	Even
Prime / Composite	Composite
Perfect Square	No
Perfect Cube	No

Properties of 12

Even or Odd: Even Number

Prime or Composite: Composite Number

Perfect Square: No

Perfect Cube: No

Unique Prime Factors: 2, 3

Interesting Facts About 12

• 12 is a composite number because it has more than two factors.
• 12 is an even number.
• The prime factorization of 12 is 2 × 2 × 3.
• 12 has 6 total factors.

Is 12 Prime or Composite?

12 is a composite number because it has 6 factors.

Related Factors Pages

Factors of 7
Factors of 8
Factors of 9
Factors of 10
Factors of 11
Factors of 13
Factors of 14
Factors of 15
Factors of 16
Factors of 17

Factoring Calculator

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

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Frequently Asked Questions

What are the factors of 12?
1, 2, 3, 4, 6, 12

How many factors does 12 have?
6

Is 12 a prime number?
No

What is the largest factor of 12?
12

What is the smallest factor of 12?
1

What are the prime factors of 12?
2, 3

Is 12 even or odd?
Even

What is the factor pair of 12?
1 × 12, 2 × 6, 3 × 4