Cube of 584

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, and 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 584 can be written as 584³, which is the exponential form. Or it can also be written in arithmetic form as, 584 × 584 × 584.

To determine whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods help simplify the process of cubing numbers without confusion or errors.

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 three numbers 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. 584³ = 584 × 584 × 584

Step 2: You get 199,383,104 as the answer. Hence, the cube of 584 is 199,383,104.

The binomial formula (a + b)³ is used to find the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 584 into two parts. Let a = 500 and b = 84, so a + b = 584

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

Step 3: Calculate each term:

a³ = 500³

3a²b = 3 × 500² × 84

3ab² = 3 × 500 × 84²

b³ = 84³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(500 + 84)³ = 500³ + 3 × 500² × 84 + 3 × 500 × 84² + 84³

Step 5: Calculate each part and sum them up:

500³ = 125,000,000 3 × 500² × 84 = 63,000,000 3 × 500 × 84² = 10,584,000 84³ = 592,704

Summing these gives: 125,000,000 + 63,000,000 + 10,584,000 + 592,704 = 199,383,104

Hence, the cube of 584 is 199,383,104.

To find the cube of 584 using a calculator, input the number 584 and use the cube function (if available) or multiply 584 × 584 × 584. This operation calculates the value of 584³, resulting in 199,383,104. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 584

Step 3: If the calculator has a cube function, press it to calculate 584³.

Step 4: If there is no cube function on the calculator, simply multiply 584 three times manually.

Step 5: The calculator will display 199,383,104.

• 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.

• Volume of a Cube: The amount of space occupied by a cube, calculated as the side length raised to the third power.

• Cube Root of a Number: Determining the number which, when multiplied by itself three times, equals the original number.