Cube of 1303

A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times.

When you cube a positive number, the result is always positive.

When you cube a negative number, the result is always negative.

This is because a negative number by itself three times results in a negative number.

The cube of 1303 can be written as 1303³, which is the exponential form. Or it can also be written in arithmetic form as, 1303 × 1303 × 1303.

In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator.

These three methods will help calculate the cube of numbers faster and easier without confusion or difficulty.

By Multiplication Method Using a Formula Using a Calculator

The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition.

It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number. 1303³ = 1303 × 1303 × 1303

Step 2: Calculate the cube to get the answer, which is 2,217,034,827.

Hence, the cube of 1303 is 2,217,034,827.

The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 1303 into two parts. Let a = 1300 and b = 3, so a + b = 1303

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 3 3ab² = 3 × 1300 × 3² b³ = 3³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 3)³ = 1300³ + 3 × 1300² × 3 + 3 × 1300 × 3² + 3³ 1303³ = 2,197,000,000 + 15,210,000 + 35,100 + 27 1303³ = 2,217,034,827

Step 5: Hence, the cube of 1303 is 2,217,034,827.

To find the cube of 1303 using a calculator, input the number 1303 and use the cube function (if available) or multiply 1303 × 1303 × 1303.

This operation calculates the value of 1303³, resulting in 2,217,034,827. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Input 1, 3, 0, and 3.

Step 3: If the calculator has a cube function, press it to calculate 1303³.

Step 4: If there is no cube function on the calculator, simply multiply 1303 three times manually.

Step 5: The calculator will display 2,217,034,827.

The cube of any even number is always even, while the cube of any odd number is always odd.

The product of two or more perfect cube numbers is always a perfect cube.

A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

• Binomial Formula: An algebraic expression used to expand the powers of a sum, often written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base.

• Cube of a Number: The result of multiplying a number by itself three times.

• Exponential Form: A way of expressing numbers using a base and an exponent, indicating how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2, which equals 8.

• Perfect Cube: A number that is the cube of an integer.

• Volume of a Cube: The space occupied by a cube, calculated using the formula Side³, where Side is the length of one of the cube's edges.