Factors of 31

📊 Total Factors: 2
🔢 Prime Factors: 31
✅ Number Type: Prime Number

What Are the Factors of 31?

The factors of 31 are 1, 31. A factor is a whole number that divides 31 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 31

To find the factors of 31, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

31 ÷ 1 = 31
31 ÷ 31 = 1

Is 31 Divisible by Other Numbers?

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

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

Real-Life Uses of Factors of 31

Factors of 31 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 31

1, 31

Factor Pairs of 31

• 1 × 31

Prime Factorization of 31

31 = 31

Worked Example: Finding Factors of 31

Step 1: Start testing numbers from 1 up to 31.

Step 2: Check which numbers divide 31 without leaving a remainder.

Step 3: The successful divisions are:

31 ÷ 1 = 31 (No remainder)
31 ÷ 31 = 1 (No remainder)

Answer: Therefore, the factors of 31 are 1, 31.

Number Facts Table

PropertyValue
Number31
Total Factors2
Largest Factor31
Smallest Factor1
Prime Factors31
Even / OddOdd
Prime / CompositePrime
Perfect SquareNo
Perfect CubeNo

Properties of 31

Even or Odd: Odd Number

Prime or Composite: Prime Number

Perfect Square: No

Perfect Cube: No

Unique Prime Factors: 31

Interesting Facts About 31

• 31 is a prime number because it has exactly two factors: 1 and itself.
• 31 is an odd number.
• The prime factorization of 31 is 31.
• 31 has 2 total factors.

Is 31 Prime or Composite?

31 is a prime number because it has exactly two factors: 1 and 31.

Related Factors Pages

Factors of 26
Factors of 27
Factors of 28
Factors of 29
Factors of 30
Factors of 32
Factors of 33
Factors of 34
Factors of 35
Factors of 36

Factoring Calculator

Factoring Pro

Solve complex polynomials instantly

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
← Back to Examples
Result Type
Answer
Steps go here...

Frequently Asked Questions

What are the factors of 31?
1, 31

How many factors does 31 have?
2

Is 31 a prime number?
Yes

What is the largest factor of 31?
31

What is the smallest factor of 31?
1

What are the prime factors of 31?
31

Is 31 even or odd?
Odd

What is the factor pair of 31?
1 × 31