Factors of 30
🔢 Prime Factors: 2, 3, 5
✅ Number Type: Composite Number
What Are the Factors of 30?
How to Find the Factors of 30
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?
✅ 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
All Factors of 30
Factor Pairs of 30
• 2 × 15
• 3 × 10
• 5 × 6
Prime Factorization of 30
Worked Example: Finding Factors of 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
Prime or Composite: Composite Number
Perfect Square: No
Perfect Cube: No
Unique Prime Factors: 2, 3, 5
Interesting Facts About 30
• 30 is an even number.
• The prime factorization of 30 is 2 × 3 × 5.
• 30 has 8 total factors.
Why the Factors of 30 Help You Factor Polynomials
Listing the factors of 30 and factoring a polynomial are the same skill in different clothes. When you factor 6x² + 9x, the first move is finding the greatest common factor of the coefficients, which is exactly the GCF idea you just practiced on 30. The factor pairs of 30 (1 x 30, 2 x 15, 3 x 10, 5 x 6) are also the number pairs you test when you factor a trinomial like x² + 11x + 30: you need two numbers that multiply to 30 and add to 11, which are 5 and 6, giving (x + 5)(x + 6). Number factoring builds the instinct that polynomial factoring runs on. Our factoring calculator shows every step of both.
Divisibility Shortcuts You Just Used on 30
You found the factors of 30 faster than you think, because you used divisibility rules without naming them. A number is divisible by 2 if it ends in an even digit, by 5 if it ends in 0 or 5, by 10 if it ends in 0, and by 3 if its digits add up to a multiple of 3 (3 + 0 = 3, so 30 is divisible by 3). Those four rules hand you 2, 3, 5, and 10 immediately, and each one reveals its factor pair. Memorizing these rules turns factor-hunting from trial division into pattern recognition. For bigger numbers, our prime factorization calculator breaks them down with steps shown.
Is 30 Prime or Composite?
Related Factors Pages
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Factors of 29
Factors of 31
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Factoring Calculator
Frequently Asked Questions
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