Q:

What are the first six square numbers?

A:

The first six square numbers are 1, 4, 9, 16, 25 and 36. A square number, or a perfect square, is an integer that is the square of an integer. In other words, it is the product of some integer with itself.

The usual notation for the formula for the square of a number n is not the product of n?×?n, but the equivalent exponentiation n to the power of 2, usually pronounced as "n squared." The name "square number" comes from the name of the shape.

Square numbers are non-negative. Another way of saying that a (non-negative) number is a square number is that its square roots are integers. A positive integer that has no perfect square divisors except 1 is called square-free.

The unit of area is defined as the area of unit square (1?×?1). A square number is also the sum of two consecutive triangular numbers. The sum of two consecutive square numbers is a centered square number. Every odd square is also a centered octagonal number. A square number also has an odd number of positive divisors, while other natural numbers have an even number of positive divisors. An integer root is the only divisor that pairs up with itself to yield the square number, while other divisors come in pairs.

Similar Questions

• A:

The numbers up to 100 that are perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. A perfect square is a number that is the result of a smaller number multiplied by itself.

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• A:

The first 10 positive cube numbers are: 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1,000. These are the cubes for the numbers one through 10. Zero, which is neither a positive or a negative number, is the cube of zero.

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• A:

The first six non-negative cube numbers are 0, 1, 8, 27, 64 and 125. These are the cubes of the numbers zero through five. A cube is the product of a number multiplied by itself and then by itself again.