Multiples of 2

Multiples of 2 are numbers that can be expressed as 2 times an integer. These numbers are also known as even numbers. Starting from 2, they follow a consistent pattern, increasing by 2 each time (e.g., 2, 4, 6, 8, 10, etc.). Multiples of 2 play a fundamental role in arithmetic and number theory, forming the basis for understanding even and odd numbers and serving as building blocks for more complex mathematical concepts. Recognizing and working with multiples of 2 is essential for performing various arithmetic operations efficiently.

What are Multiples of 2?

Multiples of 2 are numbers that can be expressed as 2×n, where n is an integer. These numbers are always even and include values like 2, 4, 6, 8, and so on.

Prime Factorization of 2: 2 First 10 Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. First 50 Multiples of 2 are 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.

For example, 70, 80, 60 and 22 are all multiples of 2, 35 is not a multiple of 2 for the following reasons:

Number	Reason	Remainder
70	70 is a multiple of 2 because 2×35 = 70.	0
80	80 is a multiple of 2 because 2×40 = 80.	0
20	20 is a multiple of 2 because 2×10 = 200.	0
22	22 is a multiple of 2 because 2×11 = 22.	0
35	35 is not a multiple of 2 because 35÷2 = 17 with a remainder of 1.	1

List of First 100 Multiples of 2 with Remainders

Number	Reason	Remainder
2	2 is a multiple of 2 because 2×1 = 2.	0
4	4 is a multiple of 2 because 2×2 = 4.	0
6	6 is a multiple of 2 because 2×3 = 6.	0
8	8 is a multiple of 2 because 2×4 = 8.	0
10	10 is a multiple of 2 because 2×5 = 10.	0
12	12 is a multiple of 2 because 2×6 = 12.	0
14	14 is a multiple of 2 because 2×7 = 14.	0
16	16 is a multiple of 2 because 2×8 = 16	0
18	18 is a multiple of 2 because 2×9 = 18.	0
20	20 is a multiple of 2 because 2×10 = 20.	0
22	22 is a multiple of 2 because 2×11 = 22.	0
24	24 is a multiple of 2 because 2×12 = 24.	0
26	26 is a multiple of 2 because 2×13 = 26.	0
28	28 is a multiple of 2 because 2×14 = 28.	0
30	30 is a multiple of 2 because 2×15 = 30.	0
32	32 is a multiple of 2 because 2×16 = 32.	0
34	34 is a multiple of 2 because 2×17 = 34.	0
36	36 is a multiple of 2 because 2×18 = 36.	0
38	38 is a multiple of 2 because 2×19 = 38.	0
40	40 is a multiple of 2 because 2×20 = 40.	0
42	42 is a multiple of 2 because 2×21 = 42.	0
44	44 is a multiple of 2 because 2×22 = 44.	0
46	46 is a multiple of 2 because 2×23 = 46.	0
48	48 is a multiple of 2 because 2×24 = 48.	0
50	50 is a multiple of 2 because 2×25 = 50.	0
52	52 is a multiple of 2 because 2×26 = 52.	0
54	54 is a multiple of 2 because 2×27 = 54.	0
56	56 is a multiple of 2 because 2×28 = 56.	0
58	58 is a multiple of 2 because 2×29 = 58.	0
60	60 is a multiple of 2 because 2×30 = 60.	0
62	62 is a multiple of 2 because 2×31 = 62.	0
64	64 is a multiple of 2 because 2×32 = 64.	0
66	66 is a multiple of 2 because 2×33 = 66.	0
68	68 is a multiple of 2 because 2×34 = 68.	0
70	70 is a multiple of 2 because 2×35 = 70.	0
72	72 is a multiple of 2 because 2×36 = 72.	0
74	74 is a multiple of 2 because 2×37 = 74.	0
76	76 is a multiple of 2 because 2×38 = 76.	0
78	78 is a multiple of 2 because 2×39 = 78.	0
80	80 is a multiple of 2 because 2×40 = 80.	0
82	82 is a multiple of 2 because 2×41 = 82.	0
84	84 is a multiple of 2 because 2×42 = 84.	0
86	86 is a multiple of 2 because 2×43 = 86.	0
88	88 is a multiple of 2 because 2×44 = 88.	0
90	90 is a multiple of 2 because 2×45 = 90.	0
92	92 is a multiple of 2 because 2×46 = 92.	0
94	94 is a multiple of 2 because 2×47 = 94.	0
96	96 is a multiple of 2 because 2×48 = 96.	0
98	98 is a multiple of 2 because 2×49 = 98.	0
100	100 is a multiple of 2 because 2×50 = 100.	0
102	102 is a multiple of 2 because 2×51 = 102.	0
104	104 is a multiple of 2 because 2×52=104.	0
106	106 is a multiple of 2 because 2×53 = 106.	0
108	108 is a multiple of 2 because 2×54 = 108.	0
110	110 is a multiple of 2 because 2×55 = 110.	0
112	112 is a multiple of 2 because 2×56 = 112.	0
114	114 is a multiple of 2 because 2×57 = 114.	0
116	116 is a multiple of 2 because 2×58 = 116.	0
118	118 is a multiple of 2 because 2×59 = 118.	0
120	120 is a multiple of 2 because 2×60 = 120.	0
122	122 is a multiple of 2 because 2×61 = 122.	0
124	124 is a multiple of 2 because 2×62 = 124.	0
126	126 is a multiple of 2 because 2×63 = 126.	0
128	128 is a multiple of 2 because 2×64 = 128.	0
130	130 is a multiple of 2 because 2×65 = 130.	0
132	132 is a multiple of 2 because 2×66 = 132.	0
134	134 is a multiple of 2 because 2×67 = 134.	0
136	136 is a multiple of 2 because 2×68 = 136.	0
138	138 is a multiple of 2 because 2×69 = 138.	0
140	140 is a multiple of 2 because 2×70 = 140.	0
142	142 is a multiple of 2 because 2×71 = 142.	0
144	144 is a multiple of 2 because 2×72 = 144.	0
146	146 is a multiple of 2 because 2×73 = 146.	0
148	148 is a multiple of 2 because 2×74 = 148.	0
150	150 is a multiple of 2 because 2×75 = 150.	0
152	152 is a multiple of 2 because 2×76 = 152.	0
154	154 is a multiple of 2 because 2×77 = 154.	0
156	156 is a multiple of 2 because 2×78 = 156.	0
158	158 is a multiple of 2 because 2×79 = 158.	0
160	160 is a multiple of 2 because 2×80 = 160.	0
162	162 is a multiple of 2 because 2×81 = 162.	0
164	164 is a multiple of 2 because 2×82=1644.	0
166	166 is a multiple of 2 because 2×83 = 166.	0
168	168 is a multiple of 2 because 2×84 = 168.	0
170	170 is a multiple of 2 because 2×85 = 170.	0
172	172 is a multiple of 2 because 2×86 = 172.	0
174	174 is a multiple of 2 because 2×87 = 174.	0
176	176 is a multiple of 2 because 2×88 = 176.	0
178	178 is a multiple of 2 because 2×89 = 178.	0
180	180 is a multiple of 2 because 2×90 = 180.	0
182	182 is a multiple of 2 because 2×91 = 182.	0
184	184 is a multiple of 2 because 2×92 = 184.	0
186	186 is a multiple of 2 because 2×93 = 186.	0
188	188 is a multiple of 2 because 2×94 = 188.	0
190	190 is a multiple of 2 because 2×95 = 190.	0
192	192 is a multiple of 2 because 2×96 = 192.	0
194	194 is a multiple of 2 because 2×97 = 194.	0
196	196 is a multiple of 2 because 2×98 = 196.	0
198	198 is a multiple of 2 because 2×99 = 198.	0
200	200 is a multiple of 2 because 2×100 = 200.	0

Read More About Multiples of 2

Table of 2

Important Notes

• Even Numbers: All multiples of 2 are even numbers, meaning they end in 0, 2, 4, 6, or 8.Divisibility: A number is a multiple of 2 if it can be divided by 2 with no remainder.
• Factors: Multiples of 2 have 2 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 2, extending indefinitely as 2, 4, 6, 8, 10, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 2 is always 2.

Examples on Multiples of 2

Simple Multiples

• 4: 2×2 = 4
• 10: 2×5 = 10
• 16: 2×8 = 16

Larger Multiples

• 50: 2×25 = 50
• 100: 2×50 = 100
• 200: 2×100 = 200

Real-Life Examples

• Time: 60 seconds in a minute is a multiple of 2 because 2×30=60.
• Money: A dime (10 cents) is a multiple of 2 because 2×5=10.
• Measurements: A yard (36 inches) is a multiple of 2 because 2×18=36.

Practical Examples of Multiples of 2

What is the 15th multiple of 2?

The 15th multiple of 2 is 2×15 = 30.

Is 48 a multiple of 2?

Yes, 48 is a multiple of 2 because 2×24 = 48.

What is the next multiple of 2 after 58?

The next multiple of 2 after 58 is 58+2 = 60.

Find the 25th multiple of 2.

The 25th multiple of 2 is 2×25 = 50.

Is 73 a multiple of 2?

No, 73 is not a multiple of 2 because it is not an even number and cannot be expressed as 2×n.

Practical Applications

• Counting by Twos: When counting by twos (2, 4, 6, 8…), you are listing the multiples of 2.
• Even Numbers: Any even number, such as 28 or 42, is a multiple of 2 because it can be divided evenly by 2.

FAQs