Cube of 1267

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 multiplied by itself three times results in a negative number.

The cube of 1267 can be written as 1267³, which is the exponential form. Or it can also be written in arithmetic form as 1267 × 1267 × 1267.

In order to check whether a number is a cube number or not, we can use the following three methods:

multiplication method, a factor formula (a³), or by using a calculator.

These three methods will help individuals 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. 1267³ = 1267 × 1267 × 1267

Step 2: You get 2,036,520,563 as the answer. Hence, the cube of 1267 is 2,036,520,563.

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 1267 into two parts, as a and b. Let a = 1200 and b = 67, so a + b = 1267

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

Step 3: Calculate each term a³ = 1200³

3a²b = 3 × 1200² × 67

3ab² = 3 × 1200 × 67²

b³ = 67³

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

(1200 + 67)³ = 1200³ + 3 × 1200² × 67 + 3 × 1200 × 67² + 67³

1267³ = 1,728,000,000 + 289,440,000 + 16,128,600 + 300,763

1267³ = 2,036,520,563

Step 5: Hence, the cube of 1267 is 2,036,520,563.

To find the cube of 1267 using a calculator, input the number 1267 and use the cube function (if available) or multiply 1267 × 1267 × 1267. This operation calculates the value of 1267³, resulting in 2,036,520,563. 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 267

Step 3: If the calculator has a cube function, press it to calculate 1267³.

Step 4: If there is no cube function on the calculator, simply multiply 1267 three times manually.

Step 5: The calculator will display 2,036,520,563.

• 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: It is 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: It is 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.

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

• Volume Formula: The formula V = Side³ is used to calculate the volume of a cube, where "Side" is the length of one side of the cube.