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Last updated on August 5, 2025
Even numbers are a fundamental concept in mathematics and are integers divisible by 2 without a remainder. Even numbers play a significant role in organizing data, architecture, pairing, and grouping items equally. In this topic, we will explore even numbers between 1 and 800.
Even numbers are numbers that are divided by 2 evenly without a remainder. All even numbers are multiples of 2. The last digit of even numbers always ends with 0, 2, 4, 6, or 8. There are a total of 400 even numbers ranging from 1 to 800. The even number follows a simple formula of 2n, where n is an integer.
Understanding even numbers can be made easier with a visual aid that helps individuals grasp the concept more effectively. A chart allows them to recognize the sequence of even numbers more clearly. Here’s a list of even numbers from 1 to 800:
Even numbers can be expressed in the form of ‘n = 2k’. Here, ‘k’ is an integer, and ‘n’ is the number. These numbers are divisible by 2, and the remainder is zero. Now, let us list the even numbers from 1 to 800. The even numbers from 1 to 800 are as follows: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, ..., 180, 182, 184, ..., 390, 392, 394, ..., 578, 580, ..., 798, and 800. There are a total of 400 even numbers.
To find the sum of even numbers, the formula is: S = n(n + 1), where ‘n’ is the count of even numbers, and ‘S’ is the sum. There are a total of 400 even numbers, so ‘n’ = 400. Now we can substitute the value of ‘n’. S = 400(400 + 1) S = 400 × 401 = 160,400 Therefore, 160,400 is the sum of all even numbers from 1 to 800. The sum of two even numbers is also an even number because even numbers are multiples of 2. For example, 16 + 32 = 48.
Subtraction of even numbers involves subtracting each even number from the next. Each even number is uniformly spaced by 2. If we subtract two even numbers, the result is an even number. For example, 240 - 100 = 140 678 - 400 = 278 520 - 180 = 340
Find the sum of even numbers between 20 and 40.
180 is the sum of even numbers between 20 and 40.
As we know, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, and 40 are the even numbers between 20 and 40. We calculate the sum of these numbers. 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 = 330 The sum of even numbers from 20 to 40 is 330.
Lisa has 60 apples. She wants to divide them equally among her 3 friends. How many apples will each friend get?
Each one gets 20 apples.
There are 60 apples with Lisa, and it is an even number. So she has to divide them equally among her 3 friends, making it — 60 ÷ 3 = 20, therefore, each friend gets 20 apples.
In a stadium, there are 800 seats. Each seat is labeled with a number. All the even-numbered seats are reserved for VIPs. How many even-numbered seats are there?
400 seats.
To find the even-numbered seats in the stadium, we divide the total number of seats by 2 because only the even-numbered seats are reserved for VIPs. 800 ÷ 2 = 400 So, 400 seats are reserved for VIPs in the stadium.
John has 15 dogs, 25 cats, and 10 parrots. How many legs do all the animals have?
182 legs in total.
First, calculate the total number of legs for each type of animal: Dogs have 4 legs, and there are 15 dogs, therefore: 15 × 4 = 60 Cats have 4 legs, and there are 25 cats, therefore: 25 × 4 = 100 Parrots have 2 legs, and there are 10 parrots, therefore: 10 × 2 = 20 Therefore, the total number of legs all the animals have is 60 + 100 + 20 = 180. The animals have 180 legs in total.
There are 478 people on a bus. If the people are grouped into sets of 2, how many sets are there?
239 sets.
Grouping into sets of 2 means dividing the total number of people by 2. We need to calculate it as: 478 ÷ 2 = 239. If the people are grouped into sets of 2, there are a total of 239 sets.
Even number: Even numbers are numbers that are divisible by 2 without leaving any remainder. They have a formula of 2n, where n is an integer. The last digit of even numbers always ends in 0, 2, 4, 6, or 8. For example, 222, 346, 800 are some even numbers. Multiple: A number that is a product of multiplying a number by an integer. For instance, 2, 4, 6, 8, etc., are the few multiples of 2. These numbers are the result of multiplying 2 by other integers. Remainder: For even numbers, when divided by 2, the remainder is always zero. If we divide a number by another, the leftover value is known as the remainder. Sum: The result of adding two or more numbers or amounts. For even numbers, the sum of two even numbers is always an even number. Divisibility: The property by which one whole number is divisible by another whole number without leaving a remainder. Even numbers are divisible by 2.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.