10
10 is a even composite number that follows 9 and precedes 11. It is composed of 4 distinct factors: 1, 2, 5, 10. Its prime factorization can be written as 2 × 5. 10 is classified as a deficient number based on the sum of its proper divisors. In computer science, 10 is represented as 1010 in binary and A in hexadecimal. Historically, it is written as X in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 5) reveals 2 prime building blocks.
Divisible by 2
10 ends in 0, so it is even.
Divisible by 3
The digit sum 1 is not a multiple of 3.
Divisible by 4
The last two digits 10 are not divisible by 4.
Divisible by 5
10 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 1 is not a multiple of 9.
Divisible by 10
10 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 10 within several notable number theory sequences:
Timeline
Deep dive
How 10 breaks down
10 carries 4 distinct factors and a digit signature of 1 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 8, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010 supports bitwise reasoning, hexadecimal A aligns with computing notation, and the Roman numeral X keeps the encyclopedic tradition alive. These attributes make 10 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 10 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5–15) to tune search ranges, and educators feature 10 in worksheets about factor trees. Its binary footprint of length 4 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 10 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 10
Is 10 a prime number?
10 is composite with 4 total factors and the prime factorization 2 × 5.
What is the prime factorization of 10?
It breaks down as 2 × 5, multiplying the primes 2 × 5.
How is 10 represented in binary and hexadecimal?
10 converts to 1010 in binary and A in hexadecimal, which are helpful for computer science applications.
Is 10 a perfect square, cube, or triangular number?
10 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 10?
The digits sum to 1, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.