How Does 1 and Prime Numbers - Numberphile Work?

Imagine you have 1 candy, it’s just one piece. But if you have prime numbers, like 2 or 3 candies, they’re special because you can’t divide them evenly into smaller groups without breaking the candy.

What is a prime number?

A prime number is like a unique candy that only has two friends: 1 and itself. For example, 5 is a prime number because it can only be divided by 1 or 5, no other numbers make it split evenly. But if you have 6 candies, you can divide them into groups of 2 or 3, so 6 isn’t prime.

Why does 1 not count as a prime?

Now think about the number 1, it’s like that one candy we talked about earlier. If you try to divide 1 by anything, it still stays as 1. That means it only has one friend, itself. But primes need two friends, so 1 gets left out of the prime club.

It’s kind of like being in a group where everyone needs two people to be friends with, 1 is just too lonely! Imagine you have 1 candy, it’s just one piece. But if you have prime numbers, like 2 or 3 candies, they’re special because you can’t divide them evenly into smaller groups without breaking the candy.

What is a prime number?

A prime number is like a unique candy that only has two friends: 1 and itself. For example, 5 is a prime number because it can only be divided by 1 or 5, no other numbers make it split evenly. But if you have 6 candies, you can divide them into groups of 2 or 3, so 6 isn’t prime.

Why does 1 not count as a prime?

Now think about the number 1, it’s like that one candy we talked about earlier. If you try to divide 1 by anything, it still stays as 1. That means it only has one friend, itself. But primes need two friends, so 1 gets left out of the prime club.

It’s kind of like being in a group where everyone needs two people to be friends with, 1 is just too lonely!

Take the quiz →

Examples

  1. Why can't 1 be a prime number, like 2 or 3?
  2. Explaining the rule that makes primes special.
  3. A simple reason why 1 is not in the prime group.

Ask a question

See also

Discussion

Recent activity

Nothing here yet.