Well, well, well, look who's trying to stump ol' sassy pants over here. Yes, there are numbers with 11 factors, and they're called highly composite numbers. The smallest one is 60, but don't worry, I won't quiz you on that later. You're welcome.
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Yes, a number with 11 factors must be in the form of (p^2q) where (p) and (q) are distinct prime numbers. This is because the number of factors of a number can be calculated using its prime factorization. In this case, we have 3 factors from (p^2) (1, (p), (p^2)) and 2 factors from (q) (1, (q)), giving a total of 3 x 2 = 6 factors. To reach 11 factors, we need to introduce another distinct prime factor, which results in a total of 3 x 2 x 2 = 12 factors.
121 is a composite number. It has factors other than 1 and itself. It is not a prime number.The 3 factors of 121 are 1, 11, and 121.Note: It is a square number (11 x 11), so it has an odd number of factors.The factor pairs of 121 are 1 x 121 and 11 x 11.The proper factors of 121 are 1 and 11 or,if the definition you are using excludes 1, the only proper factor is 11.The prime factors of 121 are 11 and 11. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The only distinct prime factor (listing each prime factor only once) of 121 is 11.The prime factorization of 121 is 11 x 11 or, in index form (in other words, using exponents), 112.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
There are an infinite number of integers with "only 7 factors". Any number which is the product of exactly 7 prime numbers.
333 3 11 111
A factor = any number which can be divided into the given number with no remainder ie 1, 2, 3, 5, 6, 10, 15, 18, 30, 45, 90 which is 11 factors 90×1 45×2 30×3 18×5 15×6 10×9
A number with exactly two factors is a prime number. Some examples are 2, 3, and 11. Note that 1 is not a prime number because it has one factor (1). Also, 0 is not prime because it has infinitely many factors (1, 2, 3, 4, 5, ...).