Factor Calculator

Factors of 274

The factors of 274 are 1, 2, 137, and 274. In total, 274 has 4 factors. Its prime factorization is 2 × 137, and the sum of all its factors is 414.

All factors of 274

Here are all 4 factors of 274, listed from smallest to largest.

12137274

Factor pairs of 274

These 2 pairs of whole numbers each multiply to give 274.

1 × 274 = 274
2 × 137 = 274

Prime factorization of 274

Dividing 274 by the smallest prime at each step gives its prime factorization:

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

The distinct prime factors of 274 are 2, 137. To factorize any other number, use the prime factorization calculator.

Factor tree of 274

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

Factor tree of 2742742137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 274

Number of factors4
Sum of factors414
Sum of proper factors140
Prime factorization2 × 137
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 274 interesting

  • 274 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.
  • 274 is a deficient number: its proper factors sum to 140, which is 134 less than 274 itself.

How to find the factors of 274 yourself

Divide 274 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 √27416.55, because every factor above that pairs with one below it.

274 ÷ 1 = 274
274 ÷ 2 = 137

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

Frequently asked questions about 274

What are the factors of 274?

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

Is 274 a prime number?

No, 274 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 274 is also divisible by 2.

What is the prime factorization of 274?

The prime factorization of 274 is 2 × 137. Written out in full: 2 × 137 = 274. Its distinct prime factors are 2, 137.

What two numbers multiply to give 274?

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

What is the sum of the factors of 274?

Adding all the factors of 274 together gives 414. Excluding 274 itself, the proper factors sum to 140.

Is 274 a perfect square?

No, 274 is not a perfect square. There is no whole number that multiplies by itself to give 274. The nearest perfect squares are 256 and 289.

What is the largest factor of 274 other than itself?

The largest factor of 274 apart from 274 itself is 137, since 274 ÷ 137 = 2.

How many factors does 274 have?

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

Explore more

Try another number in the factor calculator, break 274 down further with the prime factorization calculator, or compare 274 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.