Factor Calculator

Factors of 1169

The factors of 1169 are 1, 7, 167, and 1169. In total, 1169 has 4 factors. Its prime factorization is 7 × 167, and the sum of all its factors is 1344.

All factors of 1169

Here are all 4 factors of 1169, listed from smallest to largest.

171671169

Factor pairs of 1169

These 2 pairs of whole numbers each multiply to give 1169.

1 × 1169 = 1169
7 × 167 = 1169

Prime factorization of 1169

Dividing 1169 by the smallest prime at each step gives its prime factorization:

1169 ÷ 7 = 167
167 ÷ 167 = 1
Result: 1169 = 7 × 167 = 7 × 167

The distinct prime factors of 1169 are 7, 167. To factorize any other number, use the prime factorization calculator.

Factor tree of 1169

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

Factor tree of 116911697167
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1169

Number of factors4
Sum of factors1344
Sum of proper factors175
Prime factorization7 × 167
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1169 interesting

  • 1169 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.
  • 1169 is a deficient number: its proper factors sum to 175, which is 994 less than 1169 itself.

How to find the factors of 1169 yourself

Divide 1169 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 √116934.19, because every factor above that pairs with one below it.

1169 ÷ 1 = 1169
1169 ÷ 7 = 167

Reading both columns gives every factor: 1, 7, 167, 1169. The factor calculator does this automatically for any number.

Frequently asked questions about 1169

What are the factors of 1169?

The factors of 1169 are 1, 7, 167, and 1169. That is 4 factors in total, counting both 1 and 1169.

Is 1169 a prime number?

No, 1169 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1169 is also divisible by 7.

What is the prime factorization of 1169?

The prime factorization of 1169 is 7 × 167. Written out in full: 7 × 167 = 1169. Its distinct prime factors are 7, 167.

What two numbers multiply to give 1169?

There are 2 pairs of whole numbers that multiply to 1169: 1 × 1169, 7 × 167.

What is the sum of the factors of 1169?

Adding all the factors of 1169 together gives 1344. Excluding 1169 itself, the proper factors sum to 175.

Is 1169 a perfect square?

No, 1169 is not a perfect square. There is no whole number that multiplies by itself to give 1169. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1169 other than itself?

The largest factor of 1169 apart from 1169 itself is 167, since 1169 ÷ 167 = 7.

How many factors does 1169 have?

1169 has 4 factors: 1, 7, 167, and 1169. You can verify this from the prime factorization 7 × 167: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1169 down further with the prime factorization calculator, or compare 1169 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.