Factors of 546
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546. In total, 546 has 16 factors. Its prime factorization is 2 × 3 × 7 × 13, and the sum of all its factors is 1344.
All factors of 546
Here are all 16 factors of 546, listed from smallest to largest.
Factor pairs of 546
These 8 pairs of whole numbers each multiply to give 546.
Prime factorization of 546
Dividing 546 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 546 are 2, 3, 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 546
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 546
| Number of factors | 16 |
|---|---|
| Sum of factors | 1344 |
| Sum of proper factors | 798 |
| Prime factorization | 2 × 3 × 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 546 interesting
- 546 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 546 is an abundant number: its proper factors sum to 798, which is 252 more than 546 itself.
- 546 has 4 distinct prime factors (2, 3, 7, 13), which is why it has so many divisors.
How to find the factors of 546 yourself
Divide 546 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 √546 ≈ 23.37, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 546.
Frequently asked questions about 546
What are the factors of 546?
Is 546 a prime number?
What is the prime factorization of 546?
What two numbers multiply to give 546?
What is the sum of the factors of 546?
Is 546 a perfect square?
What is the largest factor of 546 other than itself?
How many factors does 546 have?
Explore more
Try another number in the factor calculator, break 546 down further with the prime factorization calculator, or compare 546 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.