Factors of 1197
The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, and 1197. In total, 1197 has 12 factors. Its prime factorization is 3² × 7 × 19, and the sum of all its factors is 2080.
All factors of 1197
Here are all 12 factors of 1197, listed from smallest to largest.
Factor pairs of 1197
These 6 pairs of whole numbers each multiply to give 1197.
Prime factorization of 1197
Dividing 1197 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1197 are 3, 7, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 1197
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1197
| Number of factors | 12 |
|---|---|
| Sum of factors | 2080 |
| Sum of proper factors | 883 |
| Prime factorization | 3² × 7 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1197 interesting
- 1197 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 1197 is a deficient number: its proper factors sum to 883, which is 314 less than 1197 itself.
- 1197 has 3 distinct prime factors (3, 7, 19), which is why it has so many divisors.
How to find the factors of 1197 yourself
Divide 1197 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 √1197 ≈ 34.60, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1197.
Frequently asked questions about 1197
What are the factors of 1197?
Is 1197 a prime number?
What is the prime factorization of 1197?
What two numbers multiply to give 1197?
What is the sum of the factors of 1197?
Is 1197 a perfect square?
What is the largest factor of 1197 other than itself?
How many factors does 1197 have?
Explore more
Try another number in the factor calculator, break 1197 down further with the prime factorization calculator, or compare 1197 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.