Factors of 942
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, and 942. In total, 942 has 8 factors. Its prime factorization is 2 × 3 × 157, and the sum of all its factors is 1896.
All factors of 942
Here are all 8 factors of 942, listed from smallest to largest.
Factor pairs of 942
These 4 pairs of whole numbers each multiply to give 942.
Prime factorization of 942
Dividing 942 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 942 are 2, 3, 157. To factorize any other number, use the prime factorization calculator.
Factor tree of 942
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 942
| Number of factors | 8 |
|---|---|
| Sum of factors | 1896 |
| Sum of proper factors | 954 |
| Prime factorization | 2 × 3 × 157 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 942 interesting
- 942 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 942 is an abundant number: its proper factors sum to 954, which is 12 more than 942 itself.
- 942 has 3 distinct prime factors (2, 3, 157), which is why it has so many divisors.
How to find the factors of 942 yourself
Divide 942 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 √942 ≈ 30.69, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 157, 314, 471, 942. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 942.
Frequently asked questions about 942
What are the factors of 942?
Is 942 a prime number?
What is the prime factorization of 942?
What two numbers multiply to give 942?
What is the sum of the factors of 942?
Is 942 a perfect square?
What is the largest factor of 942 other than itself?
How many factors does 942 have?
Explore more
Try another number in the factor calculator, break 942 down further with the prime factorization calculator, or compare 942 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.