270
270 is a even composite number that follows 269 and precedes 271. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. Its prime factorization can be written as 2 × 3^3 × 5. 270 is classified as a abundant number based on the sum of its proper divisors. In computer science, 270 is represented as 100001110 in binary and 10E in hexadecimal. Historically, it is written as CCLXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 5) reveals 5 prime building blocks.
Divisible by 2
270 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
270 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
270 ends in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 270 within several notable number theory sequences:
Timeline
Deep dive
How 270 breaks down
270 carries 16 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 450, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001110 supports bitwise reasoning, hexadecimal 10E aligns with computing notation, and the Roman numeral CCLXX keeps the encyclopedic tradition alive. These attributes make 270 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 270 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (265–275) to tune search ranges, and educators feature 270 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 270 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 270
Is 270 a prime number?
270 is composite with 16 total factors and the prime factorization 2 × 3^3 × 5.
What is the prime factorization of 270?
It breaks down as 2 × 3^3 × 5, multiplying the primes 2 × 3 × 3 × 3 × 5.
How is 270 represented in binary and hexadecimal?
270 converts to 100001110 in binary and 10E in hexadecimal, which are helpful for computer science applications.
Is 270 a perfect square, cube, or triangular number?
270 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 270?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.