Factor Calculator

Factors of 1167

The factors of 1167 are 1, 3, 389, and 1167. In total, 1167 has 4 factors. Its prime factorization is 3 × 389, and the sum of all its factors is 1560.

All factors of 1167

Here are all 4 factors of 1167, listed from smallest to largest.

133891167

Factor pairs of 1167

These 2 pairs of whole numbers each multiply to give 1167.

1 × 1167 = 1167
3 × 389 = 1167

Prime factorization of 1167

Dividing 1167 by the smallest prime at each step gives its prime factorization:

1167 ÷ 3 = 389
389 ÷ 389 = 1
Result: 1167 = 3 × 389 = 3 × 389

The distinct prime factors of 1167 are 3, 389. To factorize any other number, use the prime factorization calculator.

Factor tree of 1167

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

Factor tree of 116711673389
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1167

Number of factors4
Sum of factors1560
Sum of proper factors393
Prime factorization3 × 389
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1167 interesting

  • 1167 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.
  • 1167 is a deficient number: its proper factors sum to 393, which is 774 less than 1167 itself.

How to find the factors of 1167 yourself

Divide 1167 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 √116734.16, because every factor above that pairs with one below it.

1167 ÷ 1 = 1167
1167 ÷ 3 = 389

Reading both columns gives every factor: 1, 3, 389, 1167. The factor calculator does this automatically for any number.

Frequently asked questions about 1167

What are the factors of 1167?

The factors of 1167 are 1, 3, 389, and 1167. That is 4 factors in total, counting both 1 and 1167.

Is 1167 a prime number?

No, 1167 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 1167 is also divisible by 3.

What is the prime factorization of 1167?

The prime factorization of 1167 is 3 × 389. Written out in full: 3 × 389 = 1167. Its distinct prime factors are 3, 389.

What two numbers multiply to give 1167?

There are 2 pairs of whole numbers that multiply to 1167: 1 × 1167, 3 × 389.

What is the sum of the factors of 1167?

Adding all the factors of 1167 together gives 1560. Excluding 1167 itself, the proper factors sum to 393.

Is 1167 a perfect square?

No, 1167 is not a perfect square. There is no whole number that multiplies by itself to give 1167. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1167 other than itself?

The largest factor of 1167 apart from 1167 itself is 389, since 1167 ÷ 389 = 3.

How many factors does 1167 have?

1167 has 4 factors: 1, 3, 389, and 1167. You can verify this from the prime factorization 3 × 389: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 1167 down further with the prime factorization calculator, or compare 1167 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.