80
80 is a even composite number that follows 79 and precedes 81. It is composed of 10 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Its prime factorization can be written as 2^4 × 5. 80 is classified as a abundant number based on the sum of its proper divisors. In computer science, 80 is represented as 1010000 in binary and 50 in hexadecimal. Historically, it is written as LXXX in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 5) reveals 5 prime building blocks.
Divisible by 2
80 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
80 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 8 is not a multiple of 9.
Divisible by 10
80 ends in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 80 within several notable number theory sequences:
Timeline
Deep dive
How 80 breaks down
80 carries 10 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 106, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010000 supports bitwise reasoning, hexadecimal 50 aligns with computing notation, and the Roman numeral LXXX keeps the encyclopedic tradition alive. These attributes make 80 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 80 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (75–85) to tune search ranges, and educators feature 80 in worksheets about factor trees. Its binary footprint of length 7 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 80 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 80
Is 80 a prime number?
80 is composite with 10 total factors and the prime factorization 2^4 × 5.
What is the prime factorization of 80?
It breaks down as 2^4 × 5, multiplying the primes 2 × 2 × 2 × 2 × 5.
How is 80 represented in binary and hexadecimal?
80 converts to 1010000 in binary and 50 in hexadecimal, which are helpful for computer science applications.
Is 80 a perfect square, cube, or triangular number?
80 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 80?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.