280
280 is a even composite number that follows 279 and precedes 281. It is composed of 16 distinct factors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. Its prime factorization can be written as 2^3 × 5 × 7. 280 is classified as a abundant number based on the sum of its proper divisors. In computer science, 280 is represented as 100011000 in binary and 118 in hexadecimal. Historically, it is written as CCLXXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 7) reveals 5 prime building blocks.
Divisible by 2
280 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
280 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 10 is not a multiple of 9.
Divisible by 10
280 ends in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 280 within several notable number theory sequences:
Timeline
Deep dive
How 280 breaks down
280 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 440, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011000 supports bitwise reasoning, hexadecimal 118 aligns with computing notation, and the Roman numeral CCLXXX keeps the encyclopedic tradition alive. These attributes make 280 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 280 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (275–285) to tune search ranges, and educators feature 280 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 280 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 280
Is 280 a prime number?
280 is composite with 16 total factors and the prime factorization 2^3 × 5 × 7.
What is the prime factorization of 280?
It breaks down as 2^3 × 5 × 7, multiplying the primes 2 × 2 × 2 × 5 × 7.
How is 280 represented in binary and hexadecimal?
280 converts to 100011000 in binary and 118 in hexadecimal, which are helpful for computer science applications.
Is 280 a perfect square, cube, or triangular number?
280 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 280?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.