Cube of 1091

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 1091 can be written as 1091³, which is the exponential form. Or it can also be written in arithmetic form as 1091 × 1091 × 1091.

To check whether a number is a cube number, we can use the following three methods:

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.

• 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. 1091³ = 1091 × 1091 × 1091

Step 2: You get 1,297,512,071 as the answer. Hence, the cube of 1091 is 1,297,512,071.

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 1091 into two parts, as 1000 and 91.

Let a = 1000 and b = 91, so a + b = 1091

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

Step 3: Calculate each term a³= 1000³

3a²b = 3 × 1000² × 91

3ab² = 3 × 1000 × 91²

b³ = 91³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 91)³ = 1000³ + 3 × 1000² × 91 + 3 × 1000 × 91² + 91³ 1091³ = 1,000,000,000 + 273,000,000 + 8,289,000 + 753,571 1091³ = 1,297,512,071

Step 5: Hence, the cube of 1091 is 1,297,512,071.

To find the cube of 1091 using a calculator, input the number 1091 and use the cube function (if available) or multiply 1091 × 1091 × 1091.This operation calculates the value of 1091³, resulting in 1,297,512,071. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 1 followed by 0, 9, and 1

Step 3: If the calculator has a cube function, press it to calculate 1091³.

Step 4: If there is no cube function on the calculator, simply multiply 1091 three times manually.

Step 5: The calculator will display 1,297,512,071.

• 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.

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

• Cube Root: A number that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2.