126
Number 126: Properties, Factors, and Mathematical Facts
Short answer
The number 126 is an even composite number with 12 positive divisors. Its prime factorization is 2 × 3² × 7. It is also an abundant number, which gives it several notable mathematical relationships.
Is 126 prime?
ClassificationCompositeParityEvenDivisor count12AbundanceAbundant
What is the prime factorization of 126?
Prime factorization
2 times 3 squared times 7
What are the divisors of 126?
Divisor count
12
Divisor sum
312
Proper divisor sum
186
- 1
- 2
- 3
- 6
- 7
- 9
- 14
- 18
- 21
- 42
- 63
- 126
How is 126 classified?
How is 126 represented in other numeral systems?
Decimal
126
Binary
1111110
Octal
176
Hexadecimal
Roman
CXXVILearn more →
In words
one hundred twenty six
Roots and powers
Square root
11.224972 Approximate
Cube root
5.013298 Approximate
Nearest lower square
121
Nearest higher square
144
Nearest lower cube
125
Nearest higher cube
216
What are the digit properties of 126?
Which numbers are related to 126?
Why these results are true
- 126 is composite because it has positive divisors other than 1 and itself.
- 126 is abundant because the sum of its proper divisors (186) is greater than 126.
Compare this number
FAQ for 126
- Is 126 prime?
- No
- What is the prime factorization of 126?
- 2 × 3² × 7
- Is 126 a perfect square?
- No
- What is 126 in binary?
- 1111110
- What is 126 in Roman numerals?
- CXXVI