is 1 a prime number?

[sania22]

I am having trouble deciding when I should consider 1 a prime number and when I shouldn't. Is prime different than a factor?

Also, is 0 an even number?

[nitin_prakash_khanna]

Q1 : I am having trouble deciding when I should consider 1 a prime number and when I shouldn't
Answer is no, by definition a prime number has 2 factors, 1 and itself. Since number 1 has only one factor, its not considered prime.

Q2: Is prime different than a factor?

Any number can have many factors but when factors are simplified and represented by prime numbers, they are called prime factors. lets take example.
12 has many factors such as 1, 2, 3, 4, 6, and 12.

but you want to represent 12 as prime factors then 12 = 2^2 * 3^1
So only 2 & 3 are prime factors of 12.

Q3: Also, is 0 an even number

0 is neither negative nor positive , even number. Just mug it :>

[Ben Ku]

I'll just leech onto the response.

Q1 : I am having trouble deciding when I should consider 1 a prime number and when I shouldn't
Answer is no, by definition a prime number has 2 factors, 1 and itself. Since number 1 has only one factor, its not considered prime.

This is correct.

Q2: Is prime different than a factor?

Any number can have many factors but when factors are simplified and represented by prime numbers, they are called prime factors. lets take example.
12 has many factors such as 1, 2, 3, 4, 6, and 12.

but you want to represent 12 as prime factors then 12 = 2^2 * 3^1
So only 2 & 3 are prime factors of 12.

Factors are all whole numbers that are divisible by a number. The example above using 12 is excellent.

A prime number is one that has no other factors beside 1 and itself.

Q3: Also, is 0 an even number

0 is neither negative nor positive , even number. Just mug it :>

An even number is divisible by 2. Since there is no remainder then 0 is divided by 2, 0 is even.

Hope that helps.