Factor Calculator

Factors of 1165

The factors of 1165 are 1, 5, 233, and 1165. In total, 1165 has 4 factors. Its prime factorization is 5 × 233, and the sum of all its factors is 1404.

All factors of 1165

Here are all 4 factors of 1165, listed from smallest to largest.

152331165

Factor pairs of 1165

These 2 pairs of whole numbers each multiply to give 1165.

1 × 1165 = 1165
5 × 233 = 1165

Prime factorization of 1165

Dividing 1165 by the smallest prime at each step gives its prime factorization:

1165 ÷ 5 = 233
233 ÷ 233 = 1
Result: 1165 = 5 × 233 = 5 × 233

The distinct prime factors of 1165 are 5, 233. To factorize any other number, use the prime factorization calculator.

Factor tree of 1165

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

Factor tree of 116511655233
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1165

Number of factors4
Sum of factors1404
Sum of proper factors239
Prime factorization5 × 233
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1165 interesting

  • 1165 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.
  • 1165 is a deficient number: its proper factors sum to 239, which is 926 less than 1165 itself.

How to find the factors of 1165 yourself

Divide 1165 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 √1165 ≈ 34.13, because every factor above that pairs with one below it.

1165 ÷ 1 = 1165 ✓
1165 ÷ 5 = 233 ✓

Reading both columns gives every factor: 1, 5, 233, 1165. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1165.

Frequently asked questions about 1165

What are the factors of 1165?

The factors of 1165 are 1, 5, 233, and 1165. That is 4 factors in total, counting both 1 and 1165.

Is 1165 a prime number?

No, 1165 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1165 is also divisible by 5.

What is the prime factorization of 1165?

The prime factorization of 1165 is 5 × 233. Written out in full: 5 × 233 = 1165. Its distinct prime factors are 5, 233.

What two numbers multiply to give 1165?

There are 2 pairs of whole numbers that multiply to 1165: 1 × 1165, 5 × 233.

What is the sum of the factors of 1165?

Adding all the factors of 1165 together gives 1404. Excluding 1165 itself, the proper factors sum to 239.

Is 1165 a perfect square?

No, 1165 is not a perfect square. There is no whole number that multiplies by itself to give 1165. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1165 other than itself?

The largest factor of 1165 apart from 1165 itself is 233, since 1165 ÷ 233 = 5.

How many factors does 1165 have?

1165 has 4 factors: 1, 5, 233, and 1165. You can verify this from the prime factorization 5 × 233: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1165 down further with the prime factorization calculator, or compare 1165 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.