288
Number 288: Properties, Factors, and Mathematical Facts
Short answer
The number 288 is an even composite number with 18 positive divisors. Its prime factorization is 2⁵ × 3². It is also an abundant number, which gives it several notable mathematical relationships.
Is 288 prime?
ClassificationCompositeParityEvenDivisor count18AbundanceAbundant
What is the prime factorization of 288?
Prime factorization
2 to the power of 5 times 3 squared
What are the divisors of 288?
Divisor count
18
Divisor sum
819
Proper divisor sum
531
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 12
- 16
- 18
- 24
- 32
- 36
- 48
- 72
- 96
- 144
- 288
How is 288 classified?
How is 288 represented in other numeral systems?
Decimal
288
Binary
100100000
Octal
440
Hexadecimal
120
Roman
CCLXXXVIIILearn more →
In words
two hundred eighty eight
Roots and powers
Square root
16.970563 Approximate
Cube root
6.603854 Approximate
Nearest lower square
256
Nearest higher square
289
Nearest lower cube
216
Nearest higher cube
343
What are the digit properties of 288?
Which numbers are related to 288?
Why these results are true
- 288 is composite because it has positive divisors other than 1 and itself.
- 288 is abundant because the sum of its proper divisors (531) is greater than 288.
Compare this number
FAQ for 288
- Is 288 prime?
- No
- What is the prime factorization of 288?
- 2⁵ × 3²
- Is 288 a perfect square?
- No
- What is 288 in binary?
- 100100000
- What is 288 in Roman numerals?
- CCLXXXVIII