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
- Scientific notation
- 2.520 × 10^3
Roman numerals
M M D X X
Binary
1 0 0 1 1 1 0 1 1 0 0 0
1 × 2,048 + 0 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 2,520
Octal
4 7 3 0
4 × 512 + 7 × 64 + 3 × 8 + 0 × 1 = 2,520
Hexadecimal
9 d 8
9 × 256 + d × 16 + 8 × 1 = 2,520
Read as powers of two: 2,048 + 256 + 128 + 64 + 16 + 8 = 2,520.
In historical numeral systems
Egyptian
2 lotuses, 5 coils of rope, 2 hobbles
2 × 1,000 + 5 × 100 + 2 × 10 = 2,520. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
4 corner wedges + 2 vertical wedges (sixties place), empty units place
42 × 60 + 0 = 2520. Places are separated by a space on the tablet, with the higher place written first. The second place is empty, and this is precisely the case the early system could not write unambiguously — the same wedges alone would also read as 1.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
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 →Everyday life
A number divisible by many small numbers can be split many ways without remainder, which is why eggs come in twelves rather than tens and why a circle was given 360 degrees. 2,520 is the extreme case for the first ten integers: it is the smallest number that divides evenly by every one of them. Anything organised in halves, thirds, quarters, fifths, sixths, sevenths, eighths, ninths or tenths can be arranged out of 2,520 units with nothing left over.
DocumentedEveryday life
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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026