Factor Calculator

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.

1379192157631331713991197

Factor pairs of 1197

These 6 pairs of whole numbers each multiply to give 1197.

1 × 1197 = 1197
3 × 399 = 1197
7 × 171 = 1197
9 × 133 = 1197
19 × 63 = 1197
21 × 57 = 1197

Prime factorization of 1197

Dividing 1197 by the smallest prime at each step gives its prime factorization:

1197 ÷ 3 = 399
399 ÷ 3 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
Result: 1197 = 3 × 3 × 7 × 19 = 3² × 7 × 19

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.

Factor tree of 1197119733993133719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1197

Number of factors12
Sum of factors2080
Sum of proper factors883
Prime factorization3² × 7 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √119734.60, because every factor above that pairs with one below it.

1197 ÷ 1 = 1197
1197 ÷ 3 = 399
1197 ÷ 7 = 171
1197 ÷ 9 = 133
1197 ÷ 19 = 63
1197 ÷ 21 = 57

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.

Frequently asked questions about 1197

What are the factors of 1197?

The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, and 1197. That is 12 factors in total, counting both 1 and 1197.

Is 1197 a prime number?

No, 1197 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1197 is also divisible by 3.

What is the prime factorization of 1197?

The prime factorization of 1197 is 3² × 7 × 19. Written out in full: 3 × 3 × 7 × 19 = 1197. Its distinct prime factors are 3, 7, 19.

What two numbers multiply to give 1197?

There are 6 pairs of whole numbers that multiply to 1197: 1 × 1197, 3 × 399, 7 × 171, 9 × 133, 19 × 63, 21 × 57.

What is the sum of the factors of 1197?

Adding all the factors of 1197 together gives 2080. Excluding 1197 itself, the proper factors sum to 883.

Is 1197 a perfect square?

No, 1197 is not a perfect square. There is no whole number that multiplies by itself to give 1197. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1197 other than itself?

The largest factor of 1197 apart from 1197 itself is 399, since 1197 ÷ 399 = 3.

How many factors does 1197 have?

1197 has 12 factors: 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, and 1197. You can verify this from the prime factorization 3² × 7 × 19: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

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.