Factor Calculator

Factors of 794

The factors of 794 are 1, 2, 397, and 794. In total, 794 has 4 factors. Its prime factorization is 2 × 397, and the sum of all its factors is 1194.

All factors of 794

Here are all 4 factors of 794, listed from smallest to largest.

12397794

Factor pairs of 794

These 2 pairs of whole numbers each multiply to give 794.

1 × 794 = 794
2 × 397 = 794

Prime factorization of 794

Dividing 794 by the smallest prime at each step gives its prime factorization:

794 ÷ 2 = 397
397 ÷ 397 = 1
Result: 794 = 2 × 397 = 2 × 397

The distinct prime factors of 794 are 2, 397. To factorize any other number, use the prime factorization calculator.

Factor tree of 794

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

Factor tree of 7947942397
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 794

Number of factors4
Sum of factors1194
Sum of proper factors400
Prime factorization2 × 397
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 794 interesting

  • 794 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.
  • 794 is a deficient number: its proper factors sum to 400, which is 394 less than 794 itself.

How to find the factors of 794 yourself

Divide 794 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 √79428.18, because every factor above that pairs with one below it.

794 ÷ 1 = 794
794 ÷ 2 = 397

Reading both columns gives every factor: 1, 2, 397, 794. The factor calculator does this automatically for any number.

Frequently asked questions about 794

What are the factors of 794?

The factors of 794 are 1, 2, 397, and 794. That is 4 factors in total, counting both 1 and 794.

Is 794 a prime number?

No, 794 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 794 is also divisible by 2.

What is the prime factorization of 794?

The prime factorization of 794 is 2 × 397. Written out in full: 2 × 397 = 794. Its distinct prime factors are 2, 397.

What two numbers multiply to give 794?

There are 2 pairs of whole numbers that multiply to 794: 1 × 794, 2 × 397.

What is the sum of the factors of 794?

Adding all the factors of 794 together gives 1194. Excluding 794 itself, the proper factors sum to 400.

Is 794 a perfect square?

No, 794 is not a perfect square. There is no whole number that multiplies by itself to give 794. The nearest perfect squares are 784 and 841.

What is the largest factor of 794 other than itself?

The largest factor of 794 apart from 794 itself is 397, since 794 ÷ 397 = 2.

How many factors does 794 have?

794 has 4 factors: 1, 2, 397, and 794. You can verify this from the prime factorization 2 × 397: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 794 down further with the prime factorization calculator, or compare 794 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.