Factor Calculator

Factors of 1173

The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, and 1173. In total, 1173 has 8 factors. Its prime factorization is 3 × 17 × 23, and the sum of all its factors is 1728.

All factors of 1173

Here are all 8 factors of 1173, listed from smallest to largest.

13172351693911173

Factor pairs of 1173

These 4 pairs of whole numbers each multiply to give 1173.

1 × 1173 = 1173
3 × 391 = 1173
17 × 69 = 1173
23 × 51 = 1173

Prime factorization of 1173

Dividing 1173 by the smallest prime at each step gives its prime factorization:

1173 ÷ 3 = 391
391 ÷ 17 = 23
23 ÷ 23 = 1
Result: 1173 = 3 × 17 × 23 = 3 × 17 × 23

The distinct prime factors of 1173 are 3, 17, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 1173

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

Factor tree of 1173117333911723
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1173

Number of factors8
Sum of factors1728
Sum of proper factors555
Prime factorization3 × 17 × 23
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1173 interesting

  • 1173 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 1173 is a deficient number: its proper factors sum to 555, which is 618 less than 1173 itself.
  • 1173 has 3 distinct prime factors (3, 17, 23), which is why it has so many divisors.

How to find the factors of 1173 yourself

Divide 1173 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 √117334.25, because every factor above that pairs with one below it.

1173 ÷ 1 = 1173
1173 ÷ 3 = 391
1173 ÷ 17 = 69
1173 ÷ 23 = 51

Reading both columns gives every factor: 1, 3, 17, 23, 51, 69, 391, 1173. The factor calculator does this automatically for any number.

Frequently asked questions about 1173

What are the factors of 1173?

The factors of 1173 are 1, 3, 17, 23, 51, 69, 391, and 1173. That is 8 factors in total, counting both 1 and 1173.

Is 1173 a prime number?

No, 1173 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1173 is also divisible by 3.

What is the prime factorization of 1173?

The prime factorization of 1173 is 3 × 17 × 23. Written out in full: 3 × 17 × 23 = 1173. Its distinct prime factors are 3, 17, 23.

What two numbers multiply to give 1173?

There are 4 pairs of whole numbers that multiply to 1173: 1 × 1173, 3 × 391, 17 × 69, 23 × 51.

What is the sum of the factors of 1173?

Adding all the factors of 1173 together gives 1728. Excluding 1173 itself, the proper factors sum to 555.

Is 1173 a perfect square?

No, 1173 is not a perfect square. There is no whole number that multiplies by itself to give 1173. The nearest perfect squares are 1156 and 1225.

What is the largest factor of 1173 other than itself?

The largest factor of 1173 apart from 1173 itself is 391, since 1173 ÷ 391 = 3.

How many factors does 1173 have?

1173 has 8 factors: 1, 3, 17, 23, 51, 69, 391, and 1173. You can verify this from the prime factorization 3 × 17 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1173 down further with the prime factorization calculator, or compare 1173 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.