Cube of 917

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 917 can be written as 917³, which is the exponential form. Or it can also be written in arithmetic form as, 917 × 917 × 917.

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.

917³ = 917 × 917 × 917

Step 2: You get 769,129,513 as the answer.

Hence, the cube of 917 is 769,129,513.

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 917 into two parts, 900 and 17.

Let a = 900 and b = 17, so a + b = 917

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 17

3ab² = 3 × 900 × 17²

b³ = 17³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 17)³ = 900³ + 3 × 900² × 17 + 3 × 900 × 17² + 17³

917³ = 729000000 + 41223000 + 260100 + 4913

917³ = 769,129,513

Step 5: Hence, the cube of 917 is 769,129,513.

To find the cube of 917 using a calculator, input the number 917 and use the cube function (if available) or multiply 917 × 917 × 917. This operation calculates the value of 917³, resulting in 769,129,513. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 1 and 7

Step 3: If the calculator has a cube function, press it to calculate 917³.

Step 4: If there is no cube function on the calculator, simply multiply 917 three times manually.

Step 5: The calculator will display 769,129,513.

• 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.

• Cube Root: The number which produces a given number when cubed.

• Volume: The amount of space that a substance or object occupies, or that is enclosed within a container, especially when great. In the context of cubes, volume is calculated as the cube of the side length.