Cube of 1268

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 1268 can be written as 1268³, which is the exponential form. Or it can also be written in arithmetic form as, 1268 × 1268 × 1268.

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 kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

1. By Multiplication Method
2. Using a Formula
3. 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. 1268³ = 1268 × 1268 × 1268

Step 2: You get 2,036,003,432 as the answer. Hence, the cube of 1268 is 2,036,003,432.

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 1268 into two parts, as 1200 and 68. Let a = 1200 and b = 68, so a + b = 1268

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

Step 3: Calculate each term a³ = 1200³ 3a²b = 3 × 1200² × 68 3ab² = 3 × 1200 × 68² b³ = 68³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(1200 + 68)³ = 1200³ + 3 × 1200² × 68 + 3 × 1200 × 68² + 68³

1268³ = 1,728,000,000 + 293,760,000 + 165,888,000 + 314,432

1268³ = 2,036,003,432

Step 5: Hence, the cube of 1268 is 2,036,003,432.

To find the cube of 1268 using a calculator, input the number 1268 and use the cube function (if available) or multiply 1268 × 1268 × 1268. This operation calculates the value of 1268³, resulting in 2,036,003,432. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly

Step 2: Press 1 followed by 2, 6, and 8

Step 3: If the calculator has a cube function, press it to calculate 1268³.

Step 4: If there is no cube function on the calculator, simply multiply 1268 three times manually.

Step 5: The calculator will display 2,036,003,432.

• 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 number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.

• Cube of a Number: Multiplying a number by itself three times is called the cube of a number.

• Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.

• Volume of a Cube: The amount of space inside a cube, calculated using the formula V = side³.

• Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more (e.g., 27 is a perfect cube because 3 × 3 × 3 = 27).