Cube of 873

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 873 can be written as 873³, which is the exponential form. Or it can also be written in arithmetic form as 873 × 873 × 873.

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 (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. 873³ = 873 × 873 × 873 Step 2: You get 664,897,017 as the answer. Hence, the cube of 873 is 664,897,017.

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 873 into two parts, as 800 and 73. Let a = 800 and b = 73, so a + b = 873. Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³. Step 3: Calculate each term: a³= 800³ 3a²b = 3 × 800² × 73 3ab² = 3 × 800 × 73² b³ = 73³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 73)³ = 800³ + 3 × 800² × 73 + 3 × 800 × 73² + 73³ 873³ = 512,000,000 + 140,160,000 + 127,632,000 + 389,017 873³ = 664,897,017 Step 5: Hence, the cube of 873 is 664,897,017.

To find the cube of 873 using a calculator, input the number 873 and use the cube function (if available) or multiply 873 × 873 × 873. This operation calculates the value of 873³, resulting in 664,897,017. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 873. Step 3: If the calculator has a cube function, press it to calculate 873³. Step 4: If there is no cube function on the calculator, simply multiply 873 three times manually. Step 5: The calculator will display 664,897,017.

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 can be expressed as the product of an integer multiplied by itself twice more. For example, 27 is a perfect cube because it equals 3 × 3 × 3. Cube Root: The cube root of a number is a value that, when multiplied by itself twice, gives the original number. For example, the cube root of 27 is 3.