Factor Calculator

Factors of 111

The factors of 111 are 1, 3, 37, and 111. In total, 111 has 4 factors. Its prime factorization is 3 × 37, and the sum of all its factors is 152.

All factors of 111

Here are all 4 factors of 111, listed from smallest to largest.

1337111

Factor pairs of 111

These 2 pairs of whole numbers each multiply to give 111.

1 × 111 = 111
3 × 37 = 111

Prime factorization of 111

Dividing 111 by the smallest prime at each step gives its prime factorization:

111 ÷ 3 = 37
37 ÷ 37 = 1
Result: 111 = 3 × 37 = 3 × 37

The distinct prime factors of 111 are 3, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 111

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

Factor tree of 111111337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 111

Number of factors4
Sum of factors152
Sum of proper factors41
Prime factorization3 × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 111 interesting

  • 111 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.
  • 111 is a deficient number: its proper factors sum to 41, which is 70 less than 111 itself.

How to find the factors of 111 yourself

Divide 111 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 √111 ≈ 10.54, because every factor above that pairs with one below it.

111 ÷ 1 = 111 ✓
111 ÷ 3 = 37 ✓

Reading both columns gives every factor: 1, 3, 37, 111. The factor calculator does this automatically for any number.

Numbers mathematically connected to 111.

Frequently asked questions about 111

What are the factors of 111?

The factors of 111 are 1, 3, 37, and 111. That is 4 factors in total, counting both 1 and 111.

Is 111 a prime number?

No, 111 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 111 is also divisible by 3.

What is the prime factorization of 111?

The prime factorization of 111 is 3 × 37. Written out in full: 3 × 37 = 111. Its distinct prime factors are 3, 37.

What two numbers multiply to give 111?

There are 2 pairs of whole numbers that multiply to 111: 1 × 111, 3 × 37.

What is the sum of the factors of 111?

Adding all the factors of 111 together gives 152. Excluding 111 itself, the proper factors sum to 41.

Is 111 a perfect square?

No, 111 is not a perfect square. There is no whole number that multiplies by itself to give 111. The nearest perfect squares are 100 and 121.

What is the largest factor of 111 other than itself?

The largest factor of 111 apart from 111 itself is 37, since 111 ÷ 37 = 3.

How many factors does 111 have?

111 has 4 factors: 1, 3, 37, and 111. You can verify this from the prime factorization 3 × 37: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 111 down further with the prime factorization calculator, or compare 111 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.