Number reference
125 explained.
125: one hundred twenty-five, composite, perfect cube; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- one hundred twenty-five
- Classification
- composite
- Factors
- 1, 5, 25, 125
- Prime factorization
- 5 × 5 × 5
- Square root
- 11.18034
- Cube root
- 5
- Binary
- 1111101
- Octal
- 175
- Hexadecimal
- 7D
- Roman numeral
- CXXV
- Digit sum
- 8
- Digital root
- 8
What makes 125 notable
- Perfect cube. 125 = 5³, so a cube of edge 5 has a volume of 125.
125 in everyday use
One hundred twenty-five is five cubed, and its most familiar appearance is as an eighth: since 1,000 ÷ 8 = 125, the decimal 0.125 is one eighth, and 125 grams or millilitres is an eighth of a kilogram or litre. Cooks meet it as 125 mL, a common half-cup measure in metric recipes. In motorcycling the 125cc class was the entry level of Grand Prix racing for decades, and a 125cc engine is still the largest many learner licences permit.
Beyond being a cube, 125 is a sum of two squares in two different ways: 10² + 5² = 100 + 25 and 11² + 2² = 121 + 4. It is one of the numbers whose cube root is obvious from its last digit, since only numbers ending in 5 have cubes ending in 5. It is 1111101 in binary and 7D in hexadecimal, and its digit sum is 8, so it is not divisible by 3.
Nearby numbers
How to read this page
The factor list shows every way 125 splits into equal whole-number groups — 4 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 125 for contexts that do not use decimal.
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