Multiples of 420

Now, let us learn more about multiples of 420. Multiples of 420 are the numbers you get when you multiply 420 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 420 can be denoted as 420 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:

Multiple of a number = Number × Any whole number

 
For example, multiplying 420 × 1 will give us 420 as the product. Multiples of 420 will be larger or equal to 420.

Multiples of 420 include the products of 420 and an integer. Multiples of 420 are divisible by 420 evenly. The first few multiples of 420 are given below:

Now, we know the first few multiples of 420. They are 0, 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200,...
 

Understanding the multiples of 420 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 420, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division. 

Sum of first 5 Multiples of 420:

420, 840, 1260, 1680, and 2100 are the first five multiples of 420. When multiplying 420 from 1 to 5, we get these numbers as the products.

 
So, the sum of these multiples is:

420 + 840 + 1260 + 1680 + 2100 = 6300

When we add the first 5 multiples of 420, the answer will be 6300.

Subtraction of first 5 Multiples of 420:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 420, 840, 1260, 1680, and 2100 are the first five multiples of 420. So, let us calculate it as given below:

420 - 840 = -420
-420 - 1260 = -1680
-1680 - 1680 = -3360
-3360 - 2100 = -5460

Hence, the result of subtracting the first 5 multiples of 420 is -5460.

Average of first 5 Multiples of 420:

To calculate the average, we need to identify the sum of the first 5 multiples of 420, and then divide it by the count, i.e., 5. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 420 is 6300.

420 + 840 + 1260 + 1680 + 2100 = 6300

Next, divide the sum by 5:

6300 ÷ 5 = 1260

1260 is the average of the first 5 multiples of 420.

Product of First 5 Multiples of 420:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 420 include 420, 840, 1260, 1680, and 2100. Now, the product of these numbers is:
420 × 840 × 1260 × 1680 × 2100 = 1,499,185,664,000,000
The product of the first 5 multiples of 420 is 1,499,185,664,000,000.

Division of First 5 Multiples of 420:

While we perform division, we get to know how many times 420 can fit into each of the given multiples. 420, 840, 1260, 1680, and 2100 are the first 5 multiples of 420.

420 ÷ 420 = 1
840 ÷ 420 = 2
1260 ÷ 420 = 3
1680 ÷ 420 = 4
2100 ÷ 420 = 5

 
The results of dividing the first 5 multiples of 420 are: 1, 2, 3, 4, and 5.
 

• Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 420 include 420, 840, 1260, 1680, etc.
   
• Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 420 are the numbers that consist of the number pattern of 420.
   
• Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 420 are even numbers.
   
• Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420 are the divisors of 420.
   
• LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 420 is 420.