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.
Factor pairs of 294
These 6 pairs of whole numbers each multiply to give 294.
Prime factorization of 294
Dividing 294 by the smallest prime at each step gives its prime factorization:
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.
Properties of 294
| Number of factors | 12 |
|---|---|
| Sum of factors | 684 |
| Sum of proper factors | 390 |
| Prime factorization | 2 × 3 × 7² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
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 √294 ≈ 17.15, because every factor above that pairs with one below it.
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.
Related numbers
Numbers mathematically connected to 294.
Frequently asked questions about 294
What are the factors of 294?
Is 294 a prime number?
What is the prime factorization of 294?
What two numbers multiply to give 294?
What is the sum of the factors of 294?
Is 294 a perfect square?
What is the largest factor of 294 other than itself?
How many factors does 294 have?
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.