Factor Calculator

Factors of 294

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, and 294. In total, 294 has 12 factors. Its prime factorization is 2 × 3 × 7², and the sum of all its factors is 684.

All factors of 294

Here are all 12 factors of 294, listed from smallest to largest.

123671421424998147294

Factor pairs of 294

These 6 pairs of whole numbers each multiply to give 294.

1 × 294 = 294
2 × 147 = 294
3 × 98 = 294
6 × 49 = 294
7 × 42 = 294
14 × 21 = 294

Prime factorization of 294

Dividing 294 by the smallest prime at each step gives its prime factorization:

294 ÷ 2 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 294 = 2 × 3 × 7 × 7 = 2 × 3 × 7²

The distinct prime factors of 294 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 294

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

Factor tree of 294294214734977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 294

Number of factors12
Sum of factors684
Sum of proper factors390
Prime factorization2 × 3 × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 294 interesting

  • 294 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 294 is an abundant number: its proper factors sum to 390, which is 96 more than 294 itself.
  • 294 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 294 yourself

Divide 294 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 √29417.15, because every factor above that pairs with one below it.

294 ÷ 1 = 294
294 ÷ 2 = 147
294 ÷ 3 = 98
294 ÷ 6 = 49
294 ÷ 7 = 42
294 ÷ 14 = 21

Reading both columns gives every factor: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. The factor calculator does this automatically for any number.

Frequently asked questions about 294

What are the factors of 294?

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, and 294. That is 12 factors in total, counting both 1 and 294.

Is 294 a prime number?

No, 294 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 294 is also divisible by 2.

What is the prime factorization of 294?

The prime factorization of 294 is 2 × 3 × 7². Written out in full: 2 × 3 × 7 × 7 = 294. Its distinct prime factors are 2, 3, 7.

What two numbers multiply to give 294?

There are 6 pairs of whole numbers that multiply to 294: 1 × 294, 2 × 147, 3 × 98, 6 × 49, 7 × 42, 14 × 21.

What is the sum of the factors of 294?

Adding all the factors of 294 together gives 684. Excluding 294 itself, the proper factors sum to 390.

Is 294 a perfect square?

No, 294 is not a perfect square. There is no whole number that multiplies by itself to give 294. The nearest perfect squares are 289 and 324.

What is the largest factor of 294 other than itself?

The largest factor of 294 apart from 294 itself is 147, since 294 ÷ 147 = 2.

How many factors does 294 have?

294 has 12 factors: 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, and 294. You can verify this from the prime factorization 2 × 3 × 7²: add 1 to each exponent and multiply, giving 2 × 2 × 3 = 12.

Explore more

Try another number in the factor calculator, break 294 down further with the prime factorization calculator, or compare 294 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.