Factor Calculator

Factors of 1177

The factors of 1177 are 1, 11, 107, and 1177. In total, 1177 has 4 factors. Its prime factorization is 11 × 107, and the sum of all its factors is 1296.

All factors of 1177

Here are all 4 factors of 1177, listed from smallest to largest.

1111071177

Factor pairs of 1177

These 2 pairs of whole numbers each multiply to give 1177.

1 × 1177 = 1177
11 × 107 = 1177

Prime factorization of 1177

Dividing 1177 by the smallest prime at each step gives its prime factorization:

1177 ÷ 11 = 107
107 ÷ 107 = 1
Result: 1177 = 11 × 107 = 11 × 107

The distinct prime factors of 1177 are 11, 107. To factorize any other number, use the prime factorization calculator.

Factor tree of 1177

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

Factor tree of 1177117711107
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1177

Number of factors4
Sum of factors1296
Sum of proper factors119
Prime factorization11 × 107
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1177 interesting

  • 1177 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.
  • 1177 is a deficient number: its proper factors sum to 119, which is 1058 less than 1177 itself.

How to find the factors of 1177 yourself

Divide 1177 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 √117734.31, because every factor above that pairs with one below it.

1177 ÷ 1 = 1177
1177 ÷ 11 = 107

Reading both columns gives every factor: 1, 11, 107, 1177. The factor calculator does this automatically for any number.

Frequently asked questions about 1177

What are the factors of 1177?

The factors of 1177 are 1, 11, 107, and 1177. That is 4 factors in total, counting both 1 and 1177.

Is 1177 a prime number?

No, 1177 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1177 is also divisible by 11.

What is the prime factorization of 1177?

The prime factorization of 1177 is 11 × 107. Written out in full: 11 × 107 = 1177. Its distinct prime factors are 11, 107.

What two numbers multiply to give 1177?

There are 2 pairs of whole numbers that multiply to 1177: 1 × 1177, 11 × 107.

What is the sum of the factors of 1177?

Adding all the factors of 1177 together gives 1296. Excluding 1177 itself, the proper factors sum to 119.

Is 1177 a perfect square?

No, 1177 is not a perfect square. There is no whole number that multiplies by itself to give 1177. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1177 other than itself?

The largest factor of 1177 apart from 1177 itself is 107, since 1177 ÷ 107 = 11.

How many factors does 1177 have?

1177 has 4 factors: 1, 11, 107, and 1177. You can verify this from the prime factorization 11 × 107: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1177 down further with the prime factorization calculator, or compare 1177 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.