Factor Calculator

Factors of 14

The factors of 14 are 1, 2, 7, and 14. In total, 14 has 4 factors. Its prime factorization is 2 × 7, and the sum of all its factors is 24.

All factors of 14

Here are all 4 factors of 14, listed from smallest to largest.

12714

Factor pairs of 14

These 2 pairs of whole numbers each multiply to give 14.

1 × 14 = 14
2 × 7 = 14

Prime factorization of 14

Dividing 14 by the smallest prime at each step gives its prime factorization:

14 ÷ 2 = 7
7 ÷ 7 = 1
Result: 14 = 2 × 7 = 2 × 7

The distinct prime factors of 14 are 2, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 14

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 141427
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 14

Number of factors4
Sum of factors24
Sum of proper factors10
Prime factorization2 × 7
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 14 interesting

  • 14 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 14 is a deficient number: its proper factors sum to 10, which is 4 less than 14 itself.

How to find the factors of 14 yourself

Divide 14 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 √143.74, because every factor above that pairs with one below it.

14 ÷ 1 = 14
14 ÷ 2 = 7

Reading both columns gives every factor: 1, 2, 7, 14. The factor calculator does this automatically for any number.

Frequently asked questions about 14

What are the factors of 14?

The factors of 14 are 1, 2, 7, and 14. That is 4 factors in total, counting both 1 and 14.

Is 14 a prime number?

No, 14 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 14 is also divisible by 2.

What is the prime factorization of 14?

The prime factorization of 14 is 2 × 7. Written out in full: 2 × 7 = 14. Its distinct prime factors are 2, 7.

What two numbers multiply to give 14?

There are 2 pairs of whole numbers that multiply to 14: 1 × 14, 2 × 7.

What is the sum of the factors of 14?

Adding all the factors of 14 together gives 24. Excluding 14 itself, the proper factors sum to 10.

Is 14 a perfect square?

No, 14 is not a perfect square. There is no whole number that multiplies by itself to give 14. The nearest perfect squares are 9 and 16.

What is the largest factor of 14 other than itself?

The largest factor of 14 apart from 14 itself is 7, since 14 ÷ 7 = 2.

How many factors does 14 have?

14 has 4 factors: 1, 2, 7, and 14. You can verify this from the prime factorization 2 × 7: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 14 down further with the prime factorization calculator, or compare 14 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.