Factor Calculator

Factors of 1196

The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, and 1196. In total, 1196 has 12 factors. Its prime factorization is 2² × 13 × 23, and the sum of all its factors is 2352.

All factors of 1196

Here are all 12 factors of 1196, listed from smallest to largest.

1241323264652922995981196

Factor pairs of 1196

These 6 pairs of whole numbers each multiply to give 1196.

1 × 1196 = 1196
2 × 598 = 1196
4 × 299 = 1196
13 × 92 = 1196
23 × 52 = 1196
26 × 46 = 1196

Prime factorization of 1196

Dividing 1196 by the smallest prime at each step gives its prime factorization:

1196 ÷ 2 = 598
598 ÷ 2 = 299
299 ÷ 13 = 23
23 ÷ 23 = 1
Result: 1196 = 2 × 2 × 13 × 23 = 2² × 13 × 23

The distinct prime factors of 1196 are 2, 13, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 1196

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

Factor tree of 11961196259822991323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1196

Number of factors12
Sum of factors2352
Sum of proper factors1156
Prime factorization2² × 13 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1196 interesting

  • 1196 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.
  • 1196 is a deficient number: its proper factors sum to 1156, which is 40 less than 1196 itself.
  • 1196 has 3 distinct prime factors (2, 13, 23), which is why it has so many divisors.

How to find the factors of 1196 yourself

Divide 1196 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 √1196 ≈ 34.58, because every factor above that pairs with one below it.

1196 ÷ 1 = 1196 ✓
1196 ÷ 2 = 598 ✓
1196 ÷ 4 = 299 ✓
1196 ÷ 13 = 92 ✓
1196 ÷ 23 = 52 ✓
1196 ÷ 26 = 46 ✓

Reading both columns gives every factor: 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1196.

Frequently asked questions about 1196

What are the factors of 1196?

The factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, and 1196. That is 12 factors in total, counting both 1 and 1196.

Is 1196 a prime number?

No, 1196 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1196 is also divisible by 2.

What is the prime factorization of 1196?

The prime factorization of 1196 is 2² × 13 × 23. Written out in full: 2 × 2 × 13 × 23 = 1196. Its distinct prime factors are 2, 13, 23.

What two numbers multiply to give 1196?

There are 6 pairs of whole numbers that multiply to 1196: 1 × 1196, 2 × 598, 4 × 299, 13 × 92, 23 × 52, 26 × 46.

What is the sum of the factors of 1196?

Adding all the factors of 1196 together gives 2352. Excluding 1196 itself, the proper factors sum to 1156.

Is 1196 a perfect square?

No, 1196 is not a perfect square. There is no whole number that multiplies by itself to give 1196. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1196 other than itself?

The largest factor of 1196 apart from 1196 itself is 598, since 1196 ÷ 598 = 2.

How many factors does 1196 have?

1196 has 12 factors: 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, and 1196. You can verify this from the prime factorization 2² × 13 × 23: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1196 down further with the prime factorization calculator, or compare 1196 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.