8x8x8 6x6x6
100 10^3
The greatest three-digit perfect square is 961, which is the square of 31 (31 × 31 = 961). The next perfect square, 1024, is a four-digit number, making 961 the highest perfect square within the three-digit range.
The largest three-digit perfect cube is 729, which is (9^3). The next perfect cube, (10^3), equals 1000, which exceeds three digits. Therefore, 729 is the highest three-digit number that can be expressed as a perfect cube.
729
Answer: 1, 64, & 729
There are a total of 5 positive three-digit perfect cubes that are even. To find this, we first determine the range of three-digit perfect cubes, which is from 46 to 96. Then, we identify the even perfect cubes within this range, which are 64, 216, 512, 729, and 1000.
102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.
100 10^3
The greatest three-digit perfect square is 961, which is the square of 31 (31 × 31 = 961). The next perfect square, 1024, is a four-digit number, making 961 the highest perfect square within the three-digit range.
The largest three-digit perfect cube is 729, which is (9^3). The next perfect cube, (10^3), equals 1000, which exceeds three digits. Therefore, 729 is the highest three-digit number that can be expressed as a perfect cube.
729
It is a natural number. It is a positive integer. It is a positive rational number. It is a positive real number. It is a perfect square. It is a three digit integer. It is a palindromic integer. Probably many other sorts.
729
Answer: 1, 64, & 729
The largest three-digit positive integer is 999. It is the highest number that can be represented with three digits, where each digit can range from 0 to 9, with the first digit being non-zero.
961 961
The smallest three-digit even number is -998. However, while considering only positive numbers, the smallest three-digit number even number is then 100.