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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.
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What is the largest 4 digit number that has exactly 3 factors?
9409
What is the largest two digit number with exactly 6 factors?
How about 99 whose factors are: 1, 3, 9, 11 33 and 99
What is the largest 3 digit number with exactly five prime factors?
The best way to tackle this is to take the largest 3 digit number (999) and work out its prime factors. You can then work down until you get one with exactly five prime factors. 999 is 3x3x3x37, 998 is 2x499, 997 is prime, 996 is 2x2x3x83, 995 is 5x199, 994 is 2x7x71, 993 is 3x331, 992 is 2x2x2x2x2x31, 991 is prime, 990 is 2x3x3x5x11. That is the first we came across with five prime factors. Therefore the largest 3 digit number with exactly five prime factors is 990.
What is the largest two digit number with exactly 12 factors?
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).
What is the the largest four-digit divisor that has exactly three divisors?
I think you mean, the largest four digit number that has exactly three divisors. 2X3X1663=9,978
