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

420334658728598112123
621344860748699114124
8223549627587100115125
9243650637688102116126
10253851647790104117128
12263952657891105118129
14274054668092106119130
15284255688194108120132
16304456698295110121133
18324557708496111122134

From 135 to 200

135142147155160168176184190
136143148156162170177186192
138144150157164172178187194
140145152158165174180188195
141146154159166175182189196
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 NumbersPrime Factors
42 x 2
62 x 3
82 x 2 x 2
93 x 3
102 x 5
122 x 2 x 3
142 x7
153 x 5
162 x 2 x 2 x 2
182 x 3 x3
202 x 2 x5
213 x 7
222 x 11
242 x 2 x 2 x3
255 x 5
262 x13
273 x 3 x 3
282 x 2 x7
302 x 3 x 5
322 x 2 x 2 x 2 x 2
333 x 11
342 x 17
357 x5
362 x 2 x 3 x3
382 x 19
393 x13
402 x 2 x 2 x5
422 x 3 x7
442 x 2 x11
453 x 3 x 5
462 x 23
482 x 2 x 2 x 2 x 3
497 x 7
502 x 5 x 5

Solved Problems

Question: Determine whether 60 is a composite number and also write the prime factorization

Answer: Since it has factors like 1, 2, 3, 4, 5, 6, 10, 12, and 60. Therefore it is also a composite number.

Prime Factorisation

2 x 2 x 3 x 5 = 60

Question: Determine the product of the first 5 composite numbers

Solution: 4, 6, 8, and 9, 10 are the first five composite numbers

4 x 6 x 8 x 9 x10 = product of first 5 composite number

Result= 17280

Question: Calculate the number of composite numbers between 1 and 10.

Answer: The composite numbers between 1 and 10 are 4, 6, 8, and 9. Therefore, the total number of composite numbers is 4.






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