Composite Numbers

Sometimes the composite number is also referred to as Composites. A number containing more than two factors is called a composite number. Composite numbers are just contradicting the Primary numbers. A prime number has just two factors one and the number itself. Those natural numbers that are not considered prime are composite, as these numbers can be easily divided into more than two factors. Examples of composite factors include 6, and the factors are 1, 2, 3, and 6.

$Composite Numbers$

Composite Number in Mathematics

In mathematics, numbers that contain more than two factors are called Composite numbers, or A number that can be produced by multiplying two smallest positive integers and should have at least one divisor apart from 1 and itself. The number always contains more than two factors.

Question: Is Zero a composite number?

Ans: Zero is classified as neither prime nor composite since it has no factors.

Properties of the Composite Number

The properties of Composite numbers are very simple and be remembered easily.

Properties of Composite Number Includes

It contains more than two factors
They are evenly divisible by the factors
4 is the smallest composite number
Each Composite number is the factor of itself
The composite number will contain at least two prime numbers as their factors.
Composite numbers are divisible by other composites, also.

Methods to Find Composite Number

$Composite Numbers$

The method to find the composite number is given below:

Determine all factors of the positive integer
A prime number contains only two factors, i.e., one and the number itself.
If the number contains more than two factors, it is called the Composite.

For Example: Determine 16 is a composite number or not.

First of all, we have to find factors of 16. The factors of the 16 include 1, 2, 4, 8, and 16. Therefore it is a composite number.

Composite Numbers from 1 to 200

Composite numbers that exist between 1 to 134 are listed below in the table

4	20	33	46	58	72	85	98	112	123
6	21	34	48	60	74	86	99	114	124
8	22	35	49	62	75	87	100	115	125
9	24	36	50	63	76	88	102	116	126
10	25	38	51	64	77	90	104	117	128
12	26	39	52	65	78	91	105	118	129
14	27	40	54	66	80	92	106	119	130
15	28	42	55	68	81	94	108	120	132
16	30	44	56	69	82	95	110	121	133
18	32	45	57	70	84	96	111	122	134

From 135 to 200

135	142	147	155	160	168	176	184	190
136	143	148	156	162	170	177	186	192
138	144	150	157	164	172	178	187	194
140	145	152	158	165	174	180	188	195
141	146	154	159	166	175	182	189	196
								198

Odd Composite Number

Those odd integers which are not considered Prime are referred to as Odd Composite numbers. Odd Composite prime numbers include 141, 143, 147, and 155 ...

Even Composite Numbers

Those even integers which are not considered Prime are referred to as even composite numbers. Examples of composite numbers include 18, 20, 46, and 48 ….

Smallest Composite Number

Question: Why is four said to be the smallest composite number?

Reason: 1 cannot be considered the composite number as 1 has only one divisor, and it is the number itself, i.e., 1.

2 and 3: 2 and 3 are regarded as the Prime number as they can be divisible by only two factors: one and the number itself. Therefore, they are not categorized as Composites.

4: The number 4 contains more than two factors. Their divisors include 1, 2, and 4. The number 4 fills all the conditions of being a composite number. Hence the 4 is the smallest composite number

Important Facts to be Remember

4 = It is the smallest composite number
2= It is the smallest prime number
10 = It is the two-digit smallest Composite Number
9 = Smallest Odd Composite Number

Prime Factorisation of Composite Number

This will give a perspective on the composite numbers are factorized into the prime numbers. The numbers are 1 to 50.

Composite Numbers	Prime Factors
4	2 x 2
6	2 x 3
8	2 x 2 x 2
9	3 x 3
10	2 x 5
12	2 x 2 x 3
14	2 x7
15	3 x 5
16	2 x 2 x 2 x 2
18	2 x 3 x3
20	2 x 2 x5
21	3 x 7
22	2 x 11
24	2 x 2 x 2 x3
25	5 x 5
26	2 x13
27	3 x 3 x 3
28	2 x 2 x7
30	2 x 3 x 5
32	2 x 2 x 2 x 2 x 2
33	3 x 11
34	2 x 17
35	7 x5
36	2 x 2 x 3 x3
38	2 x 19
39	3 x13
40	2 x 2 x 2 x5
42	2 x 3 x7
44	2 x 2 x11
45	3 x 3 x 5
46	2 x 23
48	2 x 2 x 2 x 2 x 3
49	7 x 7
50	2 x 5 x 5