Question

What is a Prime numbers

Answer 1

Answer:

Prime Numbers are those that are only divisible by themselves.

Step-by-step explanation:

For Example,

Take 7

If you divide 7 by 2, 3, 4

the answer will be a fraction and not a whole number which shows that 7 is not divisible by any of these numbers. But if you divide it by 7 then you will get a whole number which is

=7/7

=1

CONCLUSION: Prime numbers are those that when divided give answers in whole numbers.

There are infinite prime numbers starting from 1,3,5,7,11..... and the list goes on.

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Answer 2

An integer is said to be prime if it has no non-trivial divisors.

A number x is said to be a divisor of another number y if you can divide y:x with no remainder.

For example, 2 is a divisor of 14 because you can divide 14:2=7 with no remainder.

3 is not a divisor of 14, because 14:3=4 with remainder 2.

Note that all numbers are always divisible by 1 and themselves: for every number n, we have

$n\div 1 = n,\quad n\div n=1$

So, a number is prime if it has no other divisors, other than 1 and themselves.

For example, 13 is a prime number because you can divide it only by 1 and 13: if you try to divide it by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 or 12 you'll always have a reminder.