Q:

What are the first six square numbers?

A:

Quick Answer

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.

Know More
What are the first six square numbers?
Credit: morebyless CC-BY 2.0

Full Answer

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.

Learn more about Numbers

Related Questions

  • Q:

    What is the first topic you should learn in math?

    A:

    According to Common Core standards, the first concepts a student should learn in math are the names of the numbers and the sequence in which to count them. From there, students are able to begin learning simple addition and subtraction.

    Full Answer >
    Filed Under:
  • Q:

    What are the first 10 cube numbers?

    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.

    Full Answer >
    Filed Under:
  • Q:

    What is Six Sigma?

    A:

    Six Sigma is a quality improvement program developed by multinational telecommunications company Motorola in 1986. In order to achieve the Six Sigma standard, the number of defects in a manufacturing process should be no more than 3.4 per million. Since its launch, according to Investopedia, Six Sigma has evolved into a general business-management philosophy that has been adopted by hundreds of companies around the world.

    Full Answer >
    Filed Under:
  • Q:

    What is the ABC Mouse for first grade?

    A:

    ABCMouse.com is a website dedicated to teaching children, including first graders, basic lessons in math, science, reading, art and music. As of 2015, the website offers parents and kids new to the curriculum a free 30-day trial. Once the trial ends, parents must pay $7.95 per month to retain access.

    Full Answer >
    Filed Under:

Explore