268
268 is a even composite number that follows 267 and precedes 269. It is composed of 6 distinct factors: 1, 2, 4, 67, 134, 268. Its prime factorization can be written as 2^2 × 67. 268 is classified as a deficient number based on the sum of its proper divisors. In computer science, 268 is represented as 100001100 in binary and 10C in hexadecimal. Historically, it is written as CCLXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 67) reveals 3 prime building blocks.
Divisible by 2
268 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
268 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
268 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 268 within several notable number theory sequences:
Timeline
Deep dive
How 268 breaks down
268 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 208, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001100 supports bitwise reasoning, hexadecimal 10C aligns with computing notation, and the Roman numeral CCLXVIII keeps the encyclopedic tradition alive. These attributes make 268 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 268 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (263–273) to tune search ranges, and educators feature 268 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, Deficient numbers) help historians, numerologists, and trivia writers tie 268 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 268
Is 268 a prime number?
268 is composite with 6 total factors and the prime factorization 2^2 × 67.
What is the prime factorization of 268?
It breaks down as 2^2 × 67, multiplying the primes 2 × 2 × 67.
How is 268 represented in binary and hexadecimal?
268 converts to 100001100 in binary and 10C in hexadecimal, which are helpful for computer science applications.
Is 268 a perfect square, cube, or triangular number?
268 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 268?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.