Factors of 36 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 9
🔢 Prime Factors: 2, 3
✅ Number Type: Composite Number

What Are the Factors of 36?

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. A factor is a whole number that divides 36 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 36

To find the factors of 36, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

36 ÷ 1 = 36
36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 4 = 9
36 ÷ 6 = 6
36 ÷ 9 = 4
36 ÷ 12 = 3
36 ÷ 18 = 2
36 ÷ 36 = 1

Is 36 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 36

Factors of 36 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 36

1, 2, 3, 4, 6, 9, 12, 18, 36

Factor Pairs of 36

• 1 × 36
• 2 × 18
• 3 × 12
• 4 × 9
• 6 × 6

Prime Factorization of 36

36 = 2 × 2 × 3 × 3

Worked Example: Finding Factors of 36

Step 1: Start testing numbers from 1 up to 36.

Step 2: Check which numbers divide 36 without leaving a remainder.

Step 3: The successful divisions are:

36 ÷ 1 = 36 (No remainder)
36 ÷ 2 = 18 (No remainder)
36 ÷ 3 = 12 (No remainder)
36 ÷ 4 = 9 (No remainder)
36 ÷ 6 = 6 (No remainder)
36 ÷ 9 = 4 (No remainder)
36 ÷ 12 = 3 (No remainder)
36 ÷ 18 = 2 (No remainder)
36 ÷ 36 = 1 (No remainder)

Answer: Therefore, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Number Facts Table

Property	Value
Number	36
Total Factors	9
Largest Factor	36
Smallest Factor	1
Prime Factors	2, 3
Even / Odd	Even
Prime / Composite	Composite
Perfect Square	Yes
Perfect Cube	No

Properties of 36

Even or Odd: Even Number

Prime or Composite: Composite Number

Perfect Square: Yes

Perfect Cube: No

Unique Prime Factors: 2, 3

Interesting Facts About 36

• 36 is a composite number because it has more than two factors.
• 36 is an even number.
• 36 is a perfect square number.
• The prime factorization of 36 is 2 × 2 × 3 × 3.
• 36 has 9 total factors.

Is 36 Prime or Composite?

36 is a composite number because it has 9 factors.

Related Factors Pages

Factors of 31
Factors of 32
Factors of 33
Factors of 34
Factors of 35
Factors of 37
Factors of 38
Factors of 39
Factors of 40
Factors of 41

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Frequently Asked Questions

What are the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36

How many factors does 36 have?
9

Is 36 a prime number?
No

What is the largest factor of 36?
36

What is the smallest factor of 36?
1

What are the prime factors of 36?
2, 3

Is 36 even or odd?
Even

What is the factor pair of 36?
1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6