Factors of 848
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, and 848. In total, 848 has 10 factors. Its prime factorization is 2⁴ × 53, and the sum of all its factors is 1674.
All factors of 848
Here are all 10 factors of 848, listed from smallest to largest.
Factor pairs of 848
These 5 pairs of whole numbers each multiply to give 848.
Prime factorization of 848
Dividing 848 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 848 are 2, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 848
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 848
| Number of factors | 10 |
|---|---|
| Sum of factors | 1674 |
| Sum of proper factors | 826 |
| Prime factorization | 2⁴ × 53 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 848 interesting
- 848 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
- 848 is a deficient number: its proper factors sum to 826, which is 22 less than 848 itself.
How to find the factors of 848 yourself
Divide 848 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 √848 ≈ 29.12, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 848.
Frequently asked questions about 848
What are the factors of 848?
Is 848 a prime number?
What is the prime factorization of 848?
What two numbers multiply to give 848?
What is the sum of the factors of 848?
Is 848 a perfect square?
What is the largest factor of 848 other than itself?
How many factors does 848 have?
Explore more
Try another number in the factor calculator, break 848 down further with the prime factorization calculator, or compare 848 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.