Factors of 64 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 7
🔢 Prime Factors: 2
✅ Number Type: Composite Number

What Are the Factors of 64?

The factors of 64 are 1, 2, 4, 8, 16, 32, 64. A factor is a whole number that divides 64 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 64

To find the factors of 64, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

64 ÷ 1 = 64
64 ÷ 2 = 32
64 ÷ 4 = 16
64 ÷ 8 = 8
64 ÷ 16 = 4
64 ÷ 32 = 2
64 ÷ 64 = 1

Is 64 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 64

Factors of 64 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 64

1, 2, 4, 8, 16, 32, 64

Factor Pairs of 64

• 1 × 64
• 2 × 32
• 4 × 16
• 8 × 8

Prime Factorization of 64

64 = 2 × 2 × 2 × 2 × 2 × 2

Worked Example: Finding Factors of 64

Step 1: Start testing numbers from 1 up to 64.

Step 2: Check which numbers divide 64 without leaving a remainder.

Step 3: The successful divisions are:

64 ÷ 1 = 64 (No remainder)
64 ÷ 2 = 32 (No remainder)
64 ÷ 4 = 16 (No remainder)
64 ÷ 8 = 8 (No remainder)
64 ÷ 16 = 4 (No remainder)
64 ÷ 32 = 2 (No remainder)
64 ÷ 64 = 1 (No remainder)

Answer: Therefore, the factors of 64 are 1, 2, 4, 8, 16, 32, 64.

Number Facts Table

Property	Value
Number	64
Total Factors	7
Largest Factor	64
Smallest Factor	1
Prime Factors	2
Even / Odd	Even
Prime / Composite	Composite
Perfect Square	Yes
Perfect Cube	Yes

Properties of 64

Even or Odd: Even Number

Prime or Composite: Composite Number

Perfect Square: Yes

Perfect Cube: Yes

Unique Prime Factors: 2

Interesting Facts About 64

• 64 is a composite number because it has more than two factors.
• 64 is an even number.
• 64 is a perfect square number.
• 64 is a perfect cube number.
• The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2.
• 64 has 7 total factors.

Is 64 Prime or Composite?

64 is a composite number because it has 7 factors.

Related Factors Pages

Factors of 59
Factors of 60
Factors of 61
Factors of 62
Factors of 63
Factors of 65
Factors of 66
Factors of 67
Factors of 68
Factors of 69

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Frequently Asked Questions

What are the factors of 64?
1, 2, 4, 8, 16, 32, 64

How many factors does 64 have?
7

Is 64 a prime number?
No

What is the largest factor of 64?
64

What is the smallest factor of 64?
1

What are the prime factors of 64?
2

Is 64 even or odd?
Even

What is the factor pair of 64?
1 × 64, 2 × 32, 4 × 16, 8 × 8