36 has nine factors.
96
95
88
It is 11 which is a prime number whose factors are itself and one
10
64
The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.
The largest two-digit number that has exactly three factors is 99. A number has exactly three factors if it is the square of a prime number. In this case, ( 9 = 3^2 ) has three factors: 1, 3, and 9. However, since 99 is the largest two-digit number, we consider its factors, but it does not meet the criterion. The correct answer is 81, which is ( 9^2 ).
the answer would seem to be ten.
72 is one
The largest two-digit number with exactly 12 factors is 96. To determine the number of factors, we can use the formula for the total number of factors based on the prime factorization of a number. The prime factorization of 96 is (2^5 \times 3^1), and using the formula ((e_1 + 1)(e_2 + 1)), where (e_1) and (e_2) are the exponents in the factorization, we find that ( (5+1)(1+1) = 12).
Oh, dude, you're hitting me with the math questions, huh? So, a 2-digit number with 10 factors would be 60. Why? Because it has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, and 30. Boom, math wizardry at its finest!
97
88 does.
96
28 is an example of a 2 digit composite number because it has more than two factors.
97