Factors of 212
The factors of 212 are 1, 2, 4, 53, 106, and 212. In total, 212 has 6 factors. Its prime factorization is 2² × 53, and the sum of all its factors is 378.
All factors of 212
Here are all 6 factors of 212, listed from smallest to largest.
Factor pairs of 212
These 3 pairs of whole numbers each multiply to give 212.
Prime factorization of 212
Dividing 212 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 212 are 2, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 212
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 212
| Number of factors | 6 |
|---|---|
| Sum of factors | 378 |
| Sum of proper factors | 166 |
| Prime factorization | 2² × 53 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 212 interesting
- 212 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 212 is a deficient number: its proper factors sum to 166, which is 46 less than 212 itself.
How to find the factors of 212 yourself
Divide 212 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 √212 ≈ 14.56, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 53, 106, 212. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 212.
Frequently asked questions about 212
What are the factors of 212?
Is 212 a prime number?
What is the prime factorization of 212?
What two numbers multiply to give 212?
What is the sum of the factors of 212?
Is 212 a perfect square?
What is the largest factor of 212 other than itself?
How many factors does 212 have?
Explore more
Try another number in the factor calculator, break 212 down further with the prime factorization calculator, or compare 212 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.