Factor Calculator

Factors of 3

The factors of 3 are 1 and 3. Since 3 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 4, and its prime factorization is simply 3 itself.

All factors of 3

Here are all 2 factors of 3, listed from smallest to largest.

13

Factor pairs of 3

There is only one factor pair for 3, because it is prime.

1 × 3 = 3

Prime factorization of 3

3 is a prime number, so it cannot be broken down further. Its prime factorization is simply 3.

Properties of 3

Number of factors2
Sum of factors4
Sum of proper factors1
Prime factorization3
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 3 interesting

  • 3 is a prime number, so its only factors are 1 and 3. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
  • 3 appears in the Fibonacci sequence, where each number is the sum of the two before it.
  • 3 is a triangular number — it is the sum of the first 2 whole numbers (1 + 2 + … + 2 = 3).

How to find the factors of 3 yourself

Divide 3 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √3 ≈ 1.73, because every factor above that pairs with one below it.

3 ÷ 1 = 3 ✓

Reading both columns gives every factor: 1, 3. The factor calculator does this automatically for any number.

Numbers mathematically connected to 3.

Frequently asked questions about 3

What are the factors of 3?

The factors of 3 are 1 and 3. That is 2 factors in total, counting both 1 and 3.

Is 3 a prime number?

Yes, 3 is a prime number. It has exactly two factors: 1 and 3. No other whole number divides it evenly.

What is the prime factorization of 3?

3 is already prime, so its prime factorization is simply 3. It cannot be broken down any further.

What two numbers multiply to give 3?

There is 1 pair of whole numbers that multiply to 3: 1 × 3.

What is the sum of the factors of 3?

Adding all the factors of 3 together gives 4. Excluding 3 itself, the proper factors sum to 1.

Is 3 a perfect square?

No, 3 is not a perfect square. There is no whole number that multiplies by itself to give 3. The nearest perfect squares are 1 and 4.

What is the largest factor of 3 other than itself?

The largest factor of 3 apart from 3 itself is 1, since 3 ÷ 1 = 3.

How many factors does 3 have?

3 has 2 factors: 1 and 3.

Explore more

Try another number in the factor calculator, break 3 down further with the prime factorization calculator, or compare 3 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.