Factors of 30 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 8
🔢 Prime Factors: 2, 3, 5
✅ Number Type: Composite Number

What Are the Factors of 30?

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. A factor is a whole number that divides 30 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 30

To find the factors of 30, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

30 ÷ 1 = 30
30 ÷ 2 = 15
30 ÷ 3 = 10
30 ÷ 5 = 6
30 ÷ 6 = 5
30 ÷ 10 = 3
30 ÷ 15 = 2
30 ÷ 30 = 1

Is 30 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 30

Factors of 30 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 30

1, 2, 3, 5, 6, 10, 15, 30

Factor Pairs of 30

• 1 × 30
• 2 × 15
• 3 × 10
• 5 × 6

Prime Factorization of 30

30 = 2 × 3 × 5

Worked Example: Finding Factors of 30

Step 1: Start testing numbers from 1 up to 30.

Step 2: Check which numbers divide 30 without leaving a remainder.

Step 3: The successful divisions are:

30 ÷ 1 = 30 (No remainder)
30 ÷ 2 = 15 (No remainder)
30 ÷ 3 = 10 (No remainder)
30 ÷ 5 = 6 (No remainder)
30 ÷ 6 = 5 (No remainder)
30 ÷ 10 = 3 (No remainder)
30 ÷ 15 = 2 (No remainder)
30 ÷ 30 = 1 (No remainder)

Answer: Therefore, the factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.

Number Facts Table

Property	Value
Number	30
Total Factors	8
Largest Factor	30
Smallest Factor	1
Prime Factors	2, 3, 5
Even / Odd	Even
Prime / Composite	Composite
Perfect Square	No
Perfect Cube	No

Properties of 30

Even or Odd: Even Number

Prime or Composite: Composite Number

Perfect Square: No

Perfect Cube: No

Unique Prime Factors: 2, 3, 5

Interesting Facts About 30

• 30 is a composite number because it has more than two factors.
• 30 is an even number.
• The prime factorization of 30 is 2 × 3 × 5.
• 30 has 8 total factors.

Is 30 Prime or Composite?

30 is a composite number because it has 8 factors.

Related Factors Pages

Factors of 25
Factors of 26
Factors of 27
Factors of 28
Factors of 29
Factors of 31
Factors of 32
Factors of 33
Factors of 34
Factors of 35

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Frequently Asked Questions

What are the factors of 30?
1, 2, 3, 5, 6, 10, 15, 30

How many factors does 30 have?
8

Is 30 a prime number?
No

What is the largest factor of 30?
30

What is the smallest factor of 30?
1

What are the prime factors of 30?
2, 3, 5

Is 30 even or odd?
Even

What is the factor pair of 30?
1 × 30, 2 × 15, 3 × 10, 5 × 6