Factor Calculator

Factors of 273

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273. In total, 273 has 8 factors. Its prime factorization is 3 × 7 × 13, and the sum of all its factors is 448.

All factors of 273

Here are all 8 factors of 273, listed from smallest to largest.

13713213991273

Factor pairs of 273

These 4 pairs of whole numbers each multiply to give 273.

1 × 273 = 273
3 × 91 = 273
7 × 39 = 273
13 × 21 = 273

Prime factorization of 273

Dividing 273 by the smallest prime at each step gives its prime factorization:

273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
Result: 273 = 3 × 7 × 13 = 3 × 7 × 13

The distinct prime factors of 273 are 3, 7, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 273

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

Factor tree of 273273391713
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 273

Number of factors8
Sum of factors448
Sum of proper factors175
Prime factorization3 × 7 × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 273 interesting

  • 273 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.
  • 273 is a deficient number: its proper factors sum to 175, which is 98 less than 273 itself.
  • 273 has 3 distinct prime factors (3, 7, 13), which is why it has so many divisors.

How to find the factors of 273 yourself

Divide 273 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 √27316.52, because every factor above that pairs with one below it.

273 ÷ 1 = 273
273 ÷ 3 = 91
273 ÷ 7 = 39
273 ÷ 13 = 21

Reading both columns gives every factor: 1, 3, 7, 13, 21, 39, 91, 273. The factor calculator does this automatically for any number.

Frequently asked questions about 273

What are the factors of 273?

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273. That is 8 factors in total, counting both 1 and 273.

Is 273 a prime number?

No, 273 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 273 is also divisible by 3.

What is the prime factorization of 273?

The prime factorization of 273 is 3 × 7 × 13. Written out in full: 3 × 7 × 13 = 273. Its distinct prime factors are 3, 7, 13.

What two numbers multiply to give 273?

There are 4 pairs of whole numbers that multiply to 273: 1 × 273, 3 × 91, 7 × 39, 13 × 21.

What is the sum of the factors of 273?

Adding all the factors of 273 together gives 448. Excluding 273 itself, the proper factors sum to 175.

Is 273 a perfect square?

No, 273 is not a perfect square. There is no whole number that multiplies by itself to give 273. The nearest perfect squares are 256 and 289.

What is the largest factor of 273 other than itself?

The largest factor of 273 apart from 273 itself is 91, since 273 ÷ 91 = 3.

How many factors does 273 have?

273 has 8 factors: 1, 3, 7, 13, 21, 39, 91, and 273. You can verify this from the prime factorization 3 × 7 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 273 down further with the prime factorization calculator, or compare 273 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.