Factor Calculator

Factors of 1189

The factors of 1189 are 1, 29, 41, and 1189. In total, 1189 has 4 factors. Its prime factorization is 29 × 41, and the sum of all its factors is 1260.

All factors of 1189

Here are all 4 factors of 1189, listed from smallest to largest.

129411189

Factor pairs of 1189

These 2 pairs of whole numbers each multiply to give 1189.

1 × 1189 = 1189
29 × 41 = 1189

Prime factorization of 1189

Dividing 1189 by the smallest prime at each step gives its prime factorization:

1189 ÷ 29 = 41
41 ÷ 41 = 1
Result: 1189 = 29 × 41 = 29 × 41

The distinct prime factors of 1189 are 29, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 1189

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

Factor tree of 118911892941
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1189

Number of factors4
Sum of factors1260
Sum of proper factors71
Prime factorization29 × 41
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1189 interesting

  • 1189 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.
  • 1189 is a deficient number: its proper factors sum to 71, which is 1118 less than 1189 itself.

How to find the factors of 1189 yourself

Divide 1189 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 √1189 ≈ 34.48, because every factor above that pairs with one below it.

1189 ÷ 1 = 1189 ✓
1189 ÷ 29 = 41 ✓

Reading both columns gives every factor: 1, 29, 41, 1189. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1189.

Frequently asked questions about 1189

What are the factors of 1189?

The factors of 1189 are 1, 29, 41, and 1189. That is 4 factors in total, counting both 1 and 1189.

Is 1189 a prime number?

No, 1189 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1189 is also divisible by 29.

What is the prime factorization of 1189?

The prime factorization of 1189 is 29 × 41. Written out in full: 29 × 41 = 1189. Its distinct prime factors are 29, 41.

What two numbers multiply to give 1189?

There are 2 pairs of whole numbers that multiply to 1189: 1 × 1189, 29 × 41.

What is the sum of the factors of 1189?

Adding all the factors of 1189 together gives 1260. Excluding 1189 itself, the proper factors sum to 71.

Is 1189 a perfect square?

No, 1189 is not a perfect square. There is no whole number that multiplies by itself to give 1189. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1189 other than itself?

The largest factor of 1189 apart from 1189 itself is 41, since 1189 ÷ 41 = 29.

How many factors does 1189 have?

1189 has 4 factors: 1, 29, 41, and 1189. You can verify this from the prime factorization 29 × 41: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1189 down further with the prime factorization calculator, or compare 1189 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.