Factors of 48 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 10
🔢 Prime Factors: 2, 3
✅ Number Type: Composite Number

What Are the Factors of 48?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. A factor is a whole number that divides 48 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 48

To find the factors of 48, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

48 ÷ 1 = 48
48 ÷ 2 = 24
48 ÷ 3 = 16
48 ÷ 4 = 12
48 ÷ 6 = 8
48 ÷ 8 = 6
48 ÷ 12 = 4
48 ÷ 16 = 3
48 ÷ 24 = 2
48 ÷ 48 = 1

Is 48 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 48

Factors of 48 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 48

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factor Pairs of 48

• 1 × 48
• 2 × 24
• 3 × 16
• 4 × 12
• 6 × 8

Prime Factorization of 48

48 = 2 × 2 × 2 × 2 × 3

Worked Example: Finding Factors of 48

Step 1: Start testing numbers from 1 up to 48.

Step 2: Check which numbers divide 48 without leaving a remainder.

Step 3: The successful divisions are:

48 ÷ 1 = 48 (No remainder)
48 ÷ 2 = 24 (No remainder)
48 ÷ 3 = 16 (No remainder)
48 ÷ 4 = 12 (No remainder)
48 ÷ 6 = 8 (No remainder)
48 ÷ 8 = 6 (No remainder)
48 ÷ 12 = 4 (No remainder)
48 ÷ 16 = 3 (No remainder)
48 ÷ 24 = 2 (No remainder)
48 ÷ 48 = 1 (No remainder)

Answer: Therefore, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Number Facts Table

Property	Value
Number	48
Total Factors	10
Largest Factor	48
Smallest Factor	1
Prime Factors	2, 3
Even / Odd	Even
Prime / Composite	Composite
Perfect Square	No
Perfect Cube	No

Properties of 48

Even or Odd: Even Number

Prime or Composite: Composite Number

Perfect Square: No

Perfect Cube: No

Unique Prime Factors: 2, 3

Interesting Facts About 48

• 48 is a composite number because it has more than two factors.
• 48 is an even number.
• The prime factorization of 48 is 2 × 2 × 2 × 2 × 3.
• 48 has 10 total factors.

Is 48 Prime or Composite?

48 is a composite number because it has 10 factors.

Related Factors Pages

Factors of 43
Factors of 44
Factors of 45
Factors of 46
Factors of 47
Factors of 49
Factors of 50
Factors of 51
Factors of 52
Factors of 53

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 48?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

How many factors does 48 have?
10

Is 48 a prime number?
No

What is the largest factor of 48?
48

What is the smallest factor of 48?
1

What are the prime factors of 48?
2, 3

Is 48 even or odd?
Even

What is the factor pair of 48?
1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8