2,520
2,520 is the smallest number divisible by every integer from 1 to 10.
- Even
- Composite
Where 2,520 fits
Why 2,520 is special
2,520 is the answer to 'what number works for everyone'. It is the least common multiple of 1 through 10, which makes it the smallest quantity that can be divided into halves, thirds, quarters, fifths, sixths, sevenths, eighths, ninths or tenths without a remainder. Recipe scaling, class grouping and gear ratios all quietly rediscover it.
Factors & digit properties
- Divisors (48)
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
- Prime factorisation
- 2^3 × 3^2 × 5 × 7
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 2520
- Binary
- 100111011000
- Octal
- 4730
- Hexadecimal
- 9d8
- Roman numeral
- MMDXX
- Scientific notation
- 2.520 × 10^3
Other mathematical patterns
- Abundant number
- Highly composite number
- Harshad (Niven) number
Related numbers & connections
2,520 is the least common multiple of 1 to 10 and 720,720 of 1 to 16. Both are chosen wherever many different divisions must come out evenly.
View 720720 →Mathematics
2,520 is the least common multiple of 1 through 10, so it splits evenly into halves, thirds, quarters and every other division up to tenths. Anything needing to be shared without remainder among groups of unknown size gravitates towards it, which is why it turns up in gear ratios and in classroom arithmetic alike.
DocumentedMathematics
Common questions
Is 2,520 a prime number?
No, 2,520 is not prime.
What are the factors of 2,520?
The factors of 2,520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
What is 2,520 in Roman numerals?
2,520 in Roman numerals is MMDXX.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026