208
Number 208: Properties, Factors, and Mathematical Facts
Short answer
The number 208 is an even composite number with 10 positive divisors. Its prime factorization is 2⁴ × 13. It is also an abundant number, which gives it several notable mathematical relationships.
Is 208 prime?
ClassificationCompositeParityEvenDivisor count10AbundanceAbundant
What is the prime factorization of 208?
Prime factorization
2 to the power of 4 times 13
What are the divisors of 208?
Divisor count
10
Divisor sum
434
Proper divisor sum
226
- 1
- 2
- 4
- 8
- 13
- 16
- 26
- 52
- 104
- 208
How is 208 classified?
How is 208 represented in other numeral systems?
Decimal
208
Binary
11010000
Octal
320
Hexadecimal
Roman
CCVIIILearn more →
In words
two hundred eight
Roots and powers
Square root
14.422205 Approximate
Cube root
5.924992 Approximate
Nearest lower square
196
Nearest higher square
225
Nearest lower cube
125
Nearest higher cube
216
What are the digit properties of 208?
Which numbers are related to 208?
Why these results are true
- 208 is composite because it has positive divisors other than 1 and itself.
- 208 is abundant because the sum of its proper divisors (226) is greater than 208.
Compare this number
FAQ for 208
- Is 208 prime?
- No
- What is the prime factorization of 208?
- 2⁴ × 13
- Is 208 a perfect square?
- No
- What is 208 in binary?
- 11010000
- What is 208 in Roman numerals?
- CCVIII