Factor Calculator

Factors of 548

The factors of 548 are 1, 2, 4, 137, 274, and 548. In total, 548 has 6 factors. Its prime factorization is 2² × 137, and the sum of all its factors is 966.

All factors of 548

Here are all 6 factors of 548, listed from smallest to largest.

124137274548

Factor pairs of 548

These 3 pairs of whole numbers each multiply to give 548.

1 × 548 = 548
2 × 274 = 548
4 × 137 = 548

Prime factorization of 548

Dividing 548 by the smallest prime at each step gives its prime factorization:

548 ÷ 2 = 274
274 ÷ 2 = 137
137 ÷ 137 = 1
Result: 548 = 2 × 2 × 137 = 2² × 137

The distinct prime factors of 548 are 2, 137. To factorize any other number, use the prime factorization calculator.

Factor tree of 548

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

Factor tree of 54854822742137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 548

Number of factors6
Sum of factors966
Sum of proper factors418
Prime factorization2² × 137
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 548 interesting

  • 548 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 548 is a deficient number: its proper factors sum to 418, which is 130 less than 548 itself.

How to find the factors of 548 yourself

Divide 548 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 √54823.41, because every factor above that pairs with one below it.

548 ÷ 1 = 548
548 ÷ 2 = 274
548 ÷ 4 = 137

Reading both columns gives every factor: 1, 2, 4, 137, 274, 548. The factor calculator does this automatically for any number.

Frequently asked questions about 548

What are the factors of 548?

The factors of 548 are 1, 2, 4, 137, 274, and 548. That is 6 factors in total, counting both 1 and 548.

Is 548 a prime number?

No, 548 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 548 is also divisible by 2.

What is the prime factorization of 548?

The prime factorization of 548 is 2² × 137. Written out in full: 2 × 2 × 137 = 548. Its distinct prime factors are 2, 137.

What two numbers multiply to give 548?

There are 3 pairs of whole numbers that multiply to 548: 1 × 548, 2 × 274, 4 × 137.

What is the sum of the factors of 548?

Adding all the factors of 548 together gives 966. Excluding 548 itself, the proper factors sum to 418.

Is 548 a perfect square?

No, 548 is not a perfect square. There is no whole number that multiplies by itself to give 548. The nearest perfect squares are 529 and 576.

What is the largest factor of 548 other than itself?

The largest factor of 548 apart from 548 itself is 274, since 548 ÷ 274 = 2.

How many factors does 548 have?

548 has 6 factors: 1, 2, 4, 137, 274, and 548. You can verify this from the prime factorization 2² × 137: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 548 down further with the prime factorization calculator, or compare 548 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.