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Why do some numbers have few factors and others have many?
Some numbers are divisible by a lot of other numbers; some numbers aren't.
What numbers greater than 100 have three factors?
Numbers having exactly three factors are the squares of prime numbers. Examples of these numbers greater than 100 are 121, 169, 289, 361, 529, 841, etc.
What are numbers that have only two factors?
Numbers that have only two factors are called prime numbers. These numbers can only be divided by 1 and themselves without leaving a remainder. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. Prime numbers play a crucial role in number theory and cryptography due to their unique properties.
What are the common factors of 77?
There are no common factors of 77 because there cannot be common factors without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. Examples: The common factors of 14 and 77 are 1 and 7. The common factors of 66 and 77 are 1 and 11. The common factors of 77 and 154 are 1, 7, 11, and 77.
What are numbers with 6 factors?
Numbers with exactly 6 factors are called highly composite numbers. These numbers have a total of 6 factors, including 1 and the number itself. Highly composite numbers are typically of the form p^2 * q, where p and q are prime numbers. Examples of numbers with 6 factors include 12 (2^2 * 3) and 24 (2^3 * 3).
