Factors of 1104
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, and 1104. In total, 1104 has 20 factors. Its prime factorization is 2⁴ × 3 × 23, and the sum of all its factors is 2976.
All factors of 1104
Here are all 20 factors of 1104, listed from smallest to largest.
Factor pairs of 1104
These 10 pairs of whole numbers each multiply to give 1104.
Prime factorization of 1104
Dividing 1104 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1104 are 2, 3, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 1104
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1104
| Number of factors | 20 |
|---|---|
| Sum of factors | 2976 |
| Sum of proper factors | 1872 |
| Prime factorization | 2⁴ × 3 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 1104 interesting
- 1104 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
- 1104 is an abundant number: its proper factors sum to 1872, which is 768 more than 1104 itself.
- 1104 has 3 distinct prime factors (2, 3, 23), which is why it has so many divisors.
How to find the factors of 1104 yourself
Divide 1104 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 √1104 ≈ 33.23, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1104.
Frequently asked questions about 1104
What are the factors of 1104?
Is 1104 a prime number?
What is the prime factorization of 1104?
What two numbers multiply to give 1104?
What is the sum of the factors of 1104?
Is 1104 a perfect square?
What is the largest factor of 1104 other than itself?
How many factors does 1104 have?
Explore more
Try another number in the factor calculator, break 1104 down further with the prime factorization calculator, or compare 1104 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.