Factors of 542
The factors of 542 are 1, 2, 271, and 542. In total, 542 has 4 factors. Its prime factorization is 2 × 271, and the sum of all its factors is 816.
All factors of 542
Here are all 4 factors of 542, listed from smallest to largest.
Factor pairs of 542
These 2 pairs of whole numbers each multiply to give 542.
Prime factorization of 542
Dividing 542 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 542 are 2, 271. To factorize any other number, use the prime factorization calculator.
Factor tree of 542
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 542
| Number of factors | 4 |
|---|---|
| Sum of factors | 816 |
| Sum of proper factors | 274 |
| Prime factorization | 2 × 271 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 542 interesting
- 542 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.
- 542 is a deficient number: its proper factors sum to 274, which is 268 less than 542 itself.
How to find the factors of 542 yourself
Divide 542 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 √542 ≈ 23.28, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 271, 542. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 542.
Frequently asked questions about 542
What are the factors of 542?
Is 542 a prime number?
What is the prime factorization of 542?
What two numbers multiply to give 542?
What is the sum of the factors of 542?
Is 542 a perfect square?
What is the largest factor of 542 other than itself?
How many factors does 542 have?
Explore more
Try another number in the factor calculator, break 542 down further with the prime factorization calculator, or compare 542 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.