Factor Calculator

Factors of 674

The factors of 674 are 1, 2, 337, and 674. In total, 674 has 4 factors. Its prime factorization is 2 × 337, and the sum of all its factors is 1014.

All factors of 674

Here are all 4 factors of 674, listed from smallest to largest.

12337674

Factor pairs of 674

These 2 pairs of whole numbers each multiply to give 674.

1 × 674 = 674
2 × 337 = 674

Prime factorization of 674

Dividing 674 by the smallest prime at each step gives its prime factorization:

674 ÷ 2 = 337
337 ÷ 337 = 1
Result: 674 = 2 × 337 = 2 × 337

The distinct prime factors of 674 are 2, 337. To factorize any other number, use the prime factorization calculator.

Factor tree of 674

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

Factor tree of 6746742337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 674

Number of factors4
Sum of factors1014
Sum of proper factors340
Prime factorization2 × 337
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 674 interesting

  • 674 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.
  • 674 is a deficient number: its proper factors sum to 340, which is 334 less than 674 itself.

How to find the factors of 674 yourself

Divide 674 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 √67425.96, because every factor above that pairs with one below it.

674 ÷ 1 = 674
674 ÷ 2 = 337

Reading both columns gives every factor: 1, 2, 337, 674. The factor calculator does this automatically for any number.

Frequently asked questions about 674

What are the factors of 674?

The factors of 674 are 1, 2, 337, and 674. That is 4 factors in total, counting both 1 and 674.

Is 674 a prime number?

No, 674 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 674 is also divisible by 2.

What is the prime factorization of 674?

The prime factorization of 674 is 2 × 337. Written out in full: 2 × 337 = 674. Its distinct prime factors are 2, 337.

What two numbers multiply to give 674?

There are 2 pairs of whole numbers that multiply to 674: 1 × 674, 2 × 337.

What is the sum of the factors of 674?

Adding all the factors of 674 together gives 1014. Excluding 674 itself, the proper factors sum to 340.

Is 674 a perfect square?

No, 674 is not a perfect square. There is no whole number that multiplies by itself to give 674. The nearest perfect squares are 625 and 676.

What is the largest factor of 674 other than itself?

The largest factor of 674 apart from 674 itself is 337, since 674 ÷ 337 = 2.

How many factors does 674 have?

674 has 4 factors: 1, 2, 337, and 674. You can verify this from the prime factorization 2 × 337: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 674 down further with the prime factorization calculator, or compare 674 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.