Factor Calculator

Factors of 1199

The factors of 1199 are 1, 11, 109, and 1199. In total, 1199 has 4 factors. Its prime factorization is 11 × 109, and the sum of all its factors is 1320.

All factors of 1199

Here are all 4 factors of 1199, listed from smallest to largest.

1111091199

Factor pairs of 1199

These 2 pairs of whole numbers each multiply to give 1199.

1 × 1199 = 1199
11 × 109 = 1199

Prime factorization of 1199

Dividing 1199 by the smallest prime at each step gives its prime factorization:

1199 ÷ 11 = 109
109 ÷ 109 = 1
Result: 1199 = 11 × 109 = 11 × 109

The distinct prime factors of 1199 are 11, 109. To factorize any other number, use the prime factorization calculator.

Factor tree of 1199

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

Factor tree of 1199119911109
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1199

Number of factors4
Sum of factors1320
Sum of proper factors121
Prime factorization11 × 109
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1199 interesting

  • 1199 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.
  • 1199 is a deficient number: its proper factors sum to 121, which is 1078 less than 1199 itself.

How to find the factors of 1199 yourself

Divide 1199 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 √1199 ≈ 34.63, because every factor above that pairs with one below it.

1199 ÷ 1 = 1199 ✓
1199 ÷ 11 = 109 ✓

Reading both columns gives every factor: 1, 11, 109, 1199. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1199.

Frequently asked questions about 1199

What are the factors of 1199?

The factors of 1199 are 1, 11, 109, and 1199. That is 4 factors in total, counting both 1 and 1199.

Is 1199 a prime number?

No, 1199 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1199 is also divisible by 11.

What is the prime factorization of 1199?

The prime factorization of 1199 is 11 × 109. Written out in full: 11 × 109 = 1199. Its distinct prime factors are 11, 109.

What two numbers multiply to give 1199?

There are 2 pairs of whole numbers that multiply to 1199: 1 × 1199, 11 × 109.

What is the sum of the factors of 1199?

Adding all the factors of 1199 together gives 1320. Excluding 1199 itself, the proper factors sum to 121.

Is 1199 a perfect square?

No, 1199 is not a perfect square. There is no whole number that multiplies by itself to give 1199. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1199 other than itself?

The largest factor of 1199 apart from 1199 itself is 109, since 1199 ÷ 109 = 11.

How many factors does 1199 have?

1199 has 4 factors: 1, 11, 109, and 1199. You can verify this from the prime factorization 11 × 109: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1199 down further with the prime factorization calculator, or compare 1199 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.