Factor Calculator

Factors of 1107

The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, and 1107. In total, 1107 has 8 factors. Its prime factorization is 3³ × 41, and the sum of all its factors is 1680.

All factors of 1107

Here are all 8 factors of 1107, listed from smallest to largest.

13927411233691107

Factor pairs of 1107

These 4 pairs of whole numbers each multiply to give 1107.

1 × 1107 = 1107
3 × 369 = 1107
9 × 123 = 1107
27 × 41 = 1107

Prime factorization of 1107

Dividing 1107 by the smallest prime at each step gives its prime factorization:

1107 ÷ 3 = 369
369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
Result: 1107 = 3 × 3 × 3 × 41 = 3³ × 41

The distinct prime factors of 1107 are 3, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 1107

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

Factor tree of 1107110733693123341
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1107

Number of factors8
Sum of factors1680
Sum of proper factors573
Prime factorization3³ × 41
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1107 interesting

  • 1107 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 1107 is a deficient number: its proper factors sum to 573, which is 534 less than 1107 itself.

How to find the factors of 1107 yourself

Divide 1107 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 √1107 ≈ 33.27, because every factor above that pairs with one below it.

1107 ÷ 1 = 1107 ✓
1107 ÷ 3 = 369 ✓
1107 ÷ 9 = 123 ✓
1107 ÷ 27 = 41 ✓

Reading both columns gives every factor: 1, 3, 9, 27, 41, 123, 369, 1107. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1107.

Frequently asked questions about 1107

What are the factors of 1107?

The factors of 1107 are 1, 3, 9, 27, 41, 123, 369, and 1107. That is 8 factors in total, counting both 1 and 1107.

Is 1107 a prime number?

No, 1107 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1107 is also divisible by 3.

What is the prime factorization of 1107?

The prime factorization of 1107 is 3³ × 41. Written out in full: 3 × 3 × 3 × 41 = 1107. Its distinct prime factors are 3, 41.

What two numbers multiply to give 1107?

There are 4 pairs of whole numbers that multiply to 1107: 1 × 1107, 3 × 369, 9 × 123, 27 × 41.

What is the sum of the factors of 1107?

Adding all the factors of 1107 together gives 1680. Excluding 1107 itself, the proper factors sum to 573.

Is 1107 a perfect square?

No, 1107 is not a perfect square. There is no whole number that multiplies by itself to give 1107. The nearest perfect squares are 1089 and 1156.

What is the largest factor of 1107 other than itself?

The largest factor of 1107 apart from 1107 itself is 369, since 1107 ÷ 369 = 3.

How many factors does 1107 have?

1107 has 8 factors: 1, 3, 9, 27, 41, 123, 369, and 1107. You can verify this from the prime factorization 3³ × 41: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1107 down further with the prime factorization calculator, or compare 1107 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.