Factor Calculator

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.

123671314212639427891182273546

Factor pairs of 546

These 8 pairs of whole numbers each multiply to give 546.

1 × 546 = 546
2 × 273 = 546
3 × 182 = 546
6 × 91 = 546
7 × 78 = 546
13 × 42 = 546
14 × 39 = 546
21 × 26 = 546

Prime factorization of 546

Dividing 546 by the smallest prime at each step gives its prime factorization:

546 ÷ 2 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
Result: 546 = 2 × 3 × 7 × 13 = 2 × 3 × 7 × 13

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.

Factor tree of 5465462273391713
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 546

Number of factors16
Sum of factors1344
Sum of proper factors798
Prime factorization2 × 3 × 7 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

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 √54623.37, because every factor above that pairs with one below it.

546 ÷ 1 = 546
546 ÷ 2 = 273
546 ÷ 3 = 182
546 ÷ 6 = 91
546 ÷ 7 = 78
546 ÷ 13 = 42
546 ÷ 14 = 39
546 ÷ 21 = 26

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.

Frequently asked questions about 546

What are the 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. That is 16 factors in total, counting both 1 and 546.

Is 546 a prime number?

No, 546 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 546 is also divisible by 2.

What is the prime factorization of 546?

The prime factorization of 546 is 2 × 3 × 7 × 13. Written out in full: 2 × 3 × 7 × 13 = 546. Its distinct prime factors are 2, 3, 7, 13.

What two numbers multiply to give 546?

There are 8 pairs of whole numbers that multiply to 546: 1 × 546, 2 × 273, 3 × 182, 6 × 91, 7 × 78, 13 × 42, 14 × 39, 21 × 26.

What is the sum of the factors of 546?

Adding all the factors of 546 together gives 1344. Excluding 546 itself, the proper factors sum to 798.

Is 546 a perfect square?

No, 546 is not a perfect square. There is no whole number that multiplies by itself to give 546. The nearest perfect squares are 529 and 576.

What is the largest factor of 546 other than itself?

The largest factor of 546 apart from 546 itself is 273, since 546 ÷ 273 = 2.

How many factors does 546 have?

546 has 16 factors: 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546. You can verify this from the prime factorization 2 × 3 × 7 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

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.