What Are Even Numbers? | Definition, Properties, Solved Examples

Do you get confused by odd and even numbers? But not anymore. If a number is a multiple of 2, then it’s an even number. However, if it’s not a multiple of 2, then it’s an odd number. In this article, you will read about even numbers: the best way to identify them, their types, and with solved examples.

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What are even numbers? 

A number that is completely divisible by 2 is known as an even number.

Examples of even numbers are 2, 60, 94, etc.,

2 ÷ 2 = 1, Remainder = 0
60 ÷ 2 = 30, Remainder = 0
94 ÷ 2 = 47, Remainder = 0

Some of the quick ways to find an even number are:

• If a number can be divided into two equal parts, then it’s an even number.
• If a number does not leave any remainder after dividing by 2, then it’s an even number.
• If the number ends with 0, 2, 4, 6, or 8, then it’s an even number.

Try Yourself: Let’s assume you have 4 candies and try to guess if it’s an odd number or an even number. If you can divide 4 candies into 2 equal parts, then it’s an even number. If not, then it’s an odd number.

Properties of even numbers

There are three major properties of even numbers that every student must know. These properties are the addition, subtraction, and multiplication of even numbers with an even number.

Addition of two even numbers

When we add two even numbers then the result is an Even Number. 

For example: 

• 2 + 2 = 4
• 6 + 4 = 10
• 10 + 14 = 24

Try Yourself: 

• 8 + 4 = ? 
• 20 + 2 = ?
• 16 + 4 = ?

Subtraction of two even numbers

When we subtract two even numbers then the result is an Even Number.

For example: 

• 4 – 2 = 2
• 8 – 4 = 4
• 14 – 12 = 2

Try Yourself: 

• 10 – 2 = ? 
• 12 – 4 =?
• 10 – 4 =?

Multiplication of two even numbers

When we multiply two even numbers then the result is an Even Number.

For example: 

• 4 x 2 = 8
• 8 x 4 = 32
• 2 x 12 = 24

Try Yourself: 

• 10 x 2 = ? 
• 12 x 4 = ?
• 14 x 4 = ?

Even Number List 1 to 1000

The even numbers from 1 to 1000 are tabulated below:

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	120
122	124	126	128	130	132	134	136	138	140
142	144	146	148	150	152	154	156	158	160
162	164	166	168	170	172	174	176	178	180
182	184	186	188	190	192	194	196	198	200
202	204	206	208	210	212	214	216	218	220
222	224	226	228	230	232	234	236	238	240
242	244	246	248	250	252	254	256	258	260
262	264	266	268	270	272	274	276	278	280
282	284	286	288	290	292	294	296	298	300
302	304	306	308	310	312	314	316	318	320
322	324	326	328	330	332	334	336	338	340
342	344	346	348	350	352	354	356	358	360
362	364	366	368	370	372	374	376	378	380
382	384	386	388	390	392	394	396	398	400
402	404	406	408	410	412	414	416	418	420
422	424	426	428	430	432	434	436	438	440
442	444	446	448	450	452	454	456	458	460
462	464	466	468	470	472	474	476	478	480
482	484	486	488	490	492	494	496	498	500
502	504	506	508	510	512	514	516	518	520
522	524	526	528	530	532	534	536	538	540
542	544	546	548	550	552	554	556	558	560
562	564	566	568	570	572	574	576	578	580
582	584	586	588	590	592	594	596	598	600
602	604	606	608	610	612	614	616	618	620
622	624	626	628	630	632	634	636	638	640
642	644	646	648	650	652	654	656	658	660
662	664	666	668	670	672	674	676	678	680
682	684	686	688	690	692	694	696	698	700
702	704	706	708	710	712	714	716	718	720
722	724	726	728	730	732	734	736	738	740
742	744	746	748	750	752	754	756	758	760
762	764	766	768	770	772	774	776	778	780
782	784	786	788	790	792	794	796	798	800
802	804	806	808	810	812	814	816	818	820
822	824	826	828	830	832	834	836	838	840
842	844	846	848	850	852	854	856	858	860
862	864	866	868	870	872	874	876	878	880
882	884	886	888	890	892	894	896	898	900
902	904	906	908	910	912	914	916	918	920
922	924	926	928	930	932	934	936	938	940
942	944	946	948	950	952	954	956	958	960
962	964	966	968	970	972	974	976	978	980
982	984	986	988	990	992	994	996	998	1000

Solved Examples

It’s time to learn more about even numbers with the help of some examples and practice questions. Hence, to help you with it, we have listed out some even numbers of solved examples here. First, try to solve the questions listed below on your own with your understanding and then see the solution.

Example 1: Identify if the 3608 number is an even number or not. 
Solution:
3608 is an even number because when we divide it by 2, it will give 0 as a remainder.
3608 ÷ 2 = ?
3608 ÷ 2 = 1804
Quotient = 1804
Remainder = 0  
If the remainder is 0, then the given number is an even number.

Example 2: Which of the following numbers are even numbers:
3, 50, 7, 94, 12, 15, 19, and 18? 
Solution:
From the above, 50, 94, 12, and 18 are the only even numbers.
When the numbers 50, 94, 12, and 18 are divided by 2, the remainder is 0. However, when the numbers 3, 7, 15, and 19 are divided by 2, the remainder is 1.
Hence, those numbers which leave a remainder of 0 when divided by 2 are known as even numbers.

Example 3: What is the formula to find the sum of even numbers? 
Solution: The formula to find the sum of Even Numbers is n * (n + 1). 
Let’s find sum of first 5 even numbers = 5 * (5 +1)
  = 5 * 6
  = 30. 
The sum of the first 5 Even numbers is 30. 

Example 4: What is the Sum of the first 15 Even Numbers? 
Solution: First 15 even numbers = 2, 4, 6, 8, and 10. 
Sum of first 15 Even Numbers = n * (n + 1)
  = 15 * (15 + 1)
  = 15 * 16
  = 240
The sum of the first 15 even numbers is 240. 

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FAQs

How to identify even numbers? 
If a number is divisible into two equal parts, then it’s an even number. There is a trick to identifying it without doing the actual division. Just look at the ones or end digits of the number. If the end digit is an even number like 0, 2, 4, 6, or 8, then the entire number is an even number.

What is the smallest even number? 
2 is the smallest even number.

3580 is an even number? 
Yes, 3580 is an even number. Because when we divide 3580 by 2, we get 0 as a remainder.

What is an even prime number? 
2 is an even prime number. It’s the only even number that is a prime number. The fact is that, except for 2, all prime numbers are odd numbers.

What is the product of two even numbers? 
The product of two even numbers is also going to be an even number. Furthermore, if you multiply an even number by an odd number, the result will be an even number.

To get better at maths, students must learn to identify even numbers. There are a few shortcuts or tricks you can learn and use to quickly identify even numbers. For example, if the end digit of a number is even, then the entire number is an even number.

In addition, the most common question related to even numbers is finding their sum. So, students don’t need to calculate them one by one but use the formula. The n * (n + 1) formula will help students find the sum of the first even number in the list. Keep in mind that it only calculates the first given number and not any random even number.