Factors of 182
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. In total, 182 has 8 factors. Its prime factorization is 2 × 7 × 13, and the sum of all its factors is 336.
All factors of 182
Here are all 8 factors of 182, listed from smallest to largest.
Factor pairs of 182
These 4 pairs of whole numbers each multiply to give 182.
Prime factorization of 182
Dividing 182 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 182 are 2, 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 182
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 182
| Number of factors | 8 |
|---|---|
| Sum of factors | 336 |
| Sum of proper factors | 154 |
| Prime factorization | 2 × 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 182 interesting
- 182 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.
- 182 is a deficient number: its proper factors sum to 154, which is 28 less than 182 itself.
- 182 has 3 distinct prime factors (2, 7, 13), which is why it has so many divisors.
How to find the factors of 182 yourself
Divide 182 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 √182 ≈ 13.49, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 7, 13, 14, 26, 91, 182. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 182.
Frequently asked questions about 182
What are the factors of 182?
Is 182 a prime number?
What is the prime factorization of 182?
What two numbers multiply to give 182?
What is the sum of the factors of 182?
Is 182 a perfect square?
What is the largest factor of 182 other than itself?
How many factors does 182 have?
Explore more
Try another number in the factor calculator, break 182 down further with the prime factorization calculator, or compare 182 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.