Factors of 842
The factors of 842 are 1, 2, 421, and 842. In total, 842 has 4 factors. Its prime factorization is 2 × 421, and the sum of all its factors is 1266.
All factors of 842
Here are all 4 factors of 842, listed from smallest to largest.
Factor pairs of 842
These 2 pairs of whole numbers each multiply to give 842.
Prime factorization of 842
Dividing 842 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 842 are 2, 421. To factorize any other number, use the prime factorization calculator.
Factor tree of 842
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 842
| Number of factors | 4 |
|---|---|
| Sum of factors | 1266 |
| Sum of proper factors | 424 |
| Prime factorization | 2 × 421 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 842 interesting
- 842 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.
- 842 is a deficient number: its proper factors sum to 424, which is 418 less than 842 itself.
How to find the factors of 842 yourself
Divide 842 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 √842 ≈ 29.02, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 421, 842. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 842.
Frequently asked questions about 842
What are the factors of 842?
Is 842 a prime number?
What is the prime factorization of 842?
What two numbers multiply to give 842?
What is the sum of the factors of 842?
Is 842 a perfect square?
What is the largest factor of 842 other than itself?
How many factors does 842 have?
Explore more
Try another number in the factor calculator, break 842 down further with the prime factorization calculator, or compare 842 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.