Cube of 837

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 837 can be written as 837³, which is the exponential form. Or it can also be written in arithmetic form as, 837 × 837 × 837.

In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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.

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 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. 837³ = 837 × 837 × 837

Step 2: You get 586,947,753 as the answer. Hence, the cube of 837 is 586,947,753.

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 837 into two parts. Let a = 800 and b = 37, so a + b = 837

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

Step 3: Calculate each term

a³ = 800³

3a²b = 3 × 800² × 37

3ab² = 3 × 800 × 37²

b³ = 37³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(800 + 37)³ = 800³ + 3 × 800² × 37 + 3 × 800 × 37² + 37³

837³ = 512,000,000 + 71,040,000 + 32,832,000 + 50,653

837³ = 586,947,753

Step 5: Hence, the cube of 837 is 586,947,753.

To find the cube of 837 using a calculator, input the number 837 and use the cube function (if available) or multiply 837 × 837 × 837. This operation calculates the value of 837³, resulting in 586,947,753. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 8 followed by 3 and then 7.

Step 3: If the calculator has a cube function, press it to calculate 837³.

Step 4: If there is no cube function on the calculator, simply multiply 837 three times manually.

Step 5: The calculator will display 586,947,753.

• 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 formula used to expand expressions raised to a power, particularly used for calculating cubes like (a + b)³.

• Cube of a Number: The result of multiplying a number by itself twice more, or raising it to the power of three.

• Exponential Form: A way of expressing a number where a base is raised to a power, such as 837³.

• Perfect Cube: A number that can be expressed as the cube of an integer.

• Multiplication Method: A mathematical process to find the product of numbers by repeated addition or multiplication.