Cube of 122

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 122 can be written as 122^3, which is the exponential form.

Or it can also be written in arithmetic form as, 122 × 122 × 122.

In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a^3), 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. 122^3 = 122 × 122 × 122

Step 2: You get 1,815,784 as the answer. Hence, the cube of 122 is 1,815,784.

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.

Step 1: Split the number 122 into two parts. Let a = 120 and b = 2, so a + b = 122

Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Step 3: Calculate each term a^3 = 120^3 3a^2b = 3 × 120^2 × 2 3ab^2 = 3 × 120 × 2^2 b^3 = 2^3

Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (120 + 2)^3 = 120^3 + 3 × 120^2 × 2 + 3 × 120 × 2^2 + 2^3 122^3 = 1,728,000 + 86,400 + 1,440 + 8 122^3 = 1,815,848

Step 5: Hence, the cube of 122 is 1,815,848.

To find the cube of 122 using a calculator, input the number 122 and use the cube function (if available) or multiply 122 × 122 × 122. This operation calculates the value of 122^3, resulting in 1,815,848. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 122

Step 3: If the calculator has a cube function, press it to calculate 122^3.

Step 4: If there is no cube function on the calculator, simply multiply 122 three times manually.

Step 5: The calculator will display 1,815,848.

• 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, 2^3 represents 2 × 2 × 2 equals 8.
   
• Perfect Cube: A number that can be expressed as the cube of an integer.
   
• Multiplication Method: A mathematical operation used to find the product of numbers by combining them through repeated addition.