160
160 is a even composite number that follows 159 and precedes 161. It is composed of 12 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. Its prime factorization can be written as 2^5 × 5. 160 is classified as a abundant number based on the sum of its proper divisors. In computer science, 160 is represented as 10100000 in binary and A0 in hexadecimal. Historically, it is written as CLX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 5) reveals 6 prime building blocks.
Divisible by 2
160 ends in 0, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
160 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 7 is not a multiple of 9.
Divisible by 10
160 ends in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 160 within several notable number theory sequences:
Timeline
Deep dive
How 160 breaks down
160 carries 12 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 218, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100000 supports bitwise reasoning, hexadecimal A0 aligns with computing notation, and the Roman numeral CLX keeps the encyclopedic tradition alive. These attributes make 160 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 160 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (155–165) to tune search ranges, and educators feature 160 in worksheets about factor trees. Its binary footprint of length 8 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 160 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 160
Is 160 a prime number?
160 is composite with 12 total factors and the prime factorization 2^5 × 5.
What is the prime factorization of 160?
It breaks down as 2^5 × 5, multiplying the primes 2 × 2 × 2 × 2 × 2 × 5.
How is 160 represented in binary and hexadecimal?
160 converts to 10100000 in binary and A0 in hexadecimal, which are helpful for computer science applications.
Is 160 a perfect square, cube, or triangular number?
160 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 160?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.