Last updated on July 3rd, 2025
Even numbers are a fundamental concept in mathematics, defined as integers divisible by 2 without a remainder. They play a significant role in organizing data, architecture, pairing, and grouping items equally. In this topic, we will learn about even numbers between 1 and 120.
Even numbers are numbers that can be 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 60 even numbers ranging from 1 to 120. The even number follows a simple formula of 2n, where n is an integer.
Learning about even numbers can be made easier with a visual aid that helps children 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 120:
Even numbers are 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 equals zero. Now, let us list the even numbers from 1 to 120. The even numbers from 1 to 120 are as follows: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, and 120. There are a total of 60 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 60 even numbers, so ‘n’ = 60. Now we can substitute the value of ‘n’. S = 60(60 + 1) S = 60 × 61 = 3,660 Therefore, 3,660 is the sum of all even numbers from 1 to 120. If we add an even number to an even number, the answer will always be an even number. Even numbers are multiples of 2. The sum of two multiples of 2 is also another multiple of 2, therefore, it is always an even number. For example, 18 + 20 = 38
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, it gives an even number as the result. For example, 34 - 12 = 22 100 - 48 = 52 72 - 14 = 58
Find the sum of even numbers between 30 and 40.
70 is the sum of even numbers between 30 and 40.
As we know, 30, 32, 34, 36, 38, and 40 are the even numbers between 30 and 40. Next, we need to calculate the sum of these numbers. 30 + 32 + 34 + 36 + 38 + 40 = 210 The sum of even numbers 30 to 40 is 210.
Lisa has 24 apples. She wants to divide them equally between her 2 friends. How many apples will each friend get?
Each one gets 12 apples.
There are 24 apples with Lisa, and it is an even number. So she has to divide equally between her 2 friends making it — 24 ÷ 2 = 12, therefore, each friend gets 12 apples.
In a concert hall, there are 120 seats. Each seat is labeled with a number. All the even-numbered seats are reserved for VIPs. How many even-numbered seats are there?
60 seats.
To find the even-numbered seats in the concert hall, we divide the total number of seats by 2 because only the even-numbered seats are reserved for VIPs. 120 ÷ 2 = 60 So, 60 seats are reserved for VIPs in the concert hall.
Tom has 8 dogs, 4 cats, and 10 rabbits. Each pair of legs makes an even number. How many legs do all the animals have?
92 legs in total.
First, we have to calculate the total number of legs for each type of animal: Dogs have 4 legs, and there are 8 dogs, therefore: 8 × 4 = 32 Cats have 4 legs, and there are 4 cats, therefore: 4 × 4 = 16 Rabbits have 4 legs, and there are 10 rabbits, therefore: 10 × 4 = 40 Therefore, the total number of legs all the animals have is 32 + 16 + 40 = 88. The animals have 88 legs in total.
There are 118 people on a bus. If the people are grouped into sets of 2, how many sets are there?
59 sets.
Grouping into sets of 2 means dividing the total number of people by 2. We need to calculate it as: 118 ÷ 2 = 59. If the people are grouped into sets of 2, there are a total of 59 sets.
Even number: Even numbers are numbers that are divided by 2 without leaving any remainder. It has 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, 42, 96, 120 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, while divided by 2, the remainder is always zero. If we divide a number by another, the leftover value is known as the remainder. Integer: A whole number that can be positive, negative, or zero, but not a fraction. Even numbers are a subset of integers. Divisible: A number is divisible by another if, when divided, the remainder is zero. 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.