Question

Explain whether 119²-111² is a prime or composite number.

Answer 1

Hey Friend!!

Let us first talk about Prime and Composite Numbers.


Prime Numbers are those which have only two factors: 1 and the number itself

Eg: 3,7,19, etc


Composite Numbers are those which have more than 2 factors.


Eg.: 4, 36, 9 etc


Here 36 has 8 factors: 1,2,3,4,6,9,12,18. So it is composite.


Here we will use one simple identity:


$a^2-b^2=(a+b)(a-b)$


Here our question becomes:

$119^2-111^2 \\ \\ = (119+111)(119-111) \\ \\ = 230 \times 8$


Here we can clearly see that there are at least two more factors: 230 and 8. This means that the number is divisible by 1, itself, 238, 8 and even more factors.


This means that it is a Composite Number.



Hope it helps
Purva
Brainly Community

Answer 2

Answer:

HII! MATE HERE'S YOUR ANSWER

ANSWER = COMPOSITE NUMBER

Step-by-step explanation:

9²-111²

By using ALGEBRAIC IDENTITIES

=a²-b²=( a+b)(a-b)

= 119²-111² =(119-111)(119+111)

=(119+111)(119-111)

=230 × 8

here 230,8 are the least and division by 1 or it's own

so it is composite numbers .