258
258 is a even composite number that follows 257 and precedes 259. It is composed of 8 distinct factors: 1, 2, 3, 6, 43, 86, 129, 258. Its prime factorization can be written as 2 × 3 × 43. 258 is classified as a abundant number based on the sum of its proper divisors. In computer science, 258 is represented as 100000010 in binary and 102 in hexadecimal. Historically, it is written as CCLVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 43) reveals 3 prime building blocks.
Divisible by 2
258 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 58 are not divisible by 4.
Divisible by 5
258 does not end in 0 or 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 15 is not a multiple of 9.
Divisible by 10
258 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 258 within several notable number theory sequences:
Timeline
Deep dive
How 258 breaks down
258 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 270, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000010 supports bitwise reasoning, hexadecimal 102 aligns with computing notation, and the Roman numeral CCLVIII keeps the encyclopedic tradition alive. These attributes make 258 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 258 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (253–263) to tune search ranges, and educators feature 258 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 258 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 258
Is 258 a prime number?
258 is composite with 8 total factors and the prime factorization 2 × 3 × 43.
What is the prime factorization of 258?
It breaks down as 2 × 3 × 43, multiplying the primes 2 × 3 × 43.
How is 258 represented in binary and hexadecimal?
258 converts to 100000010 in binary and 102 in hexadecimal, which are helpful for computer science applications.
Is 258 a perfect square, cube, or triangular number?
258 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 258?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.