Why isn't 57 a prime number?

2 Answers
Apr 6, 2016

57 is not a prime number, as it has factors other than one and itself.

Explanation:

A prime number is one who does not have any factor other than one and itself.

57 has 1 and 57 as its factor, but it also has 3 and 19 as its factor.

Hence, 57 is not a prime number.

May 10, 2017

57 is divisible by 3

57 = 3xx19

Explanation:

At first glance 57 would seem to be a prime number ....

after all, 7," "17," "37," "47," "67," "97 are all prime.

Why not 57?

If you add the digits of 57 you get 5+7 = 12

12 is a multiple of 3
This means that 57 is also a multiple of 3

The nearest multiples of 3 to 57 are:

60 - which is 3 xx20 and 54 - which is 3xx18

57 is 3 away from both of these and is actually 3xx 19

There are 25 prime numbers from 1 to 100, but there are 5 numbers which warrant extra attention, because they look as though they might be prime but are actually not. Learn them!

These are " "color(red)(1," "51," "57," "87," "91)

1 has only one factor, not two factors as prime numbers have.

51, 57 and 87 are all multiples of 3. (add their digits)

91 = 7 xx13

As it is a product of two primes and above the normal times tables, we will not often have come across 91 in our maths.