# Which five numbers are prime to 7

## Prime numbers

Reading time: 7 min

Prime numbers are natural numbers that are only divisible by and themselves.

For example, the number is only divisible by and and is therefore a prime number.

Let's look at the divisibility of:

So the only factors that divide them are and.

In contrast, the number:

So the factors of the are,, and. It is therefore not a prime number, but a composite number (namely).

**Conclusion:**

There are numbers that can be broken down into multiplications, they are called **"Composite numbers"**. For example:

And there are numbers that cannot be broken down into multiplications; they are called “prime numbers”. For example:

Other prime numbers are

Let's look at the natural numbers and break them down into factors of other numbers as much as possible.

- 2not dismantled
- 3not dismantled
- 4 can be dismantled into 2 · 2
- 5 cannot be dismantled
- 6 can be dismantled into 2 · 3
- 7 cannot be dismantled
- 8 can be dismantled into 2 · 2 · 2
- 9 can be dismantled into 3 · 3
- 10 can be dismantled into 2 · 5
- 11 cannot be dismantled
- 12 can be dismantled into 2 · 2 · 3
- 13 cannot be dismantled
- 14 can be dismantled into 2 7
- 15 can be dismantled into 3 · 5
- 16 can be dismantled into 2 · 2 · 2 · 2
- 17 cannot be dismantled
- 18 can be dismantled into 2 · 3 · 3
- 19 cannot be dismantled
- 20 can be dismantled into 2 · 2 · 5
- 21 can be dismantled into 3 7

The number is missing in the above list, because 1 is not a prime number.

There's up to number in total **25 prime numbers**, i.e. numbers that cannot be broken down into multiplications. They are listed below:

By the way, the number is that **single even prime number**.

All other prime numbers are **odd**.

If we look at the divisors of the prime numbers, we see that the prime numbers are only divisible by 1 and by themselves. And that is exactly the motto for the prime numbers:

### Examples of prime numbers

### Examples of compound numbers

If there is a natural number next to itself and the 1 further factor, it is one **composite number** and not a prime number.

### Word origin prime number

The word “prim” comes from the Latin “prima”, which in turn comes from “primus” and means “first, foremost”. This designation was probably chosen because every natural number consists of prime numbers, they are, so to speak, the atoms of the world of numbers.

- What is Inferred Algebraic Geometry
- What kind of bond connects two monosaccharides
- What animals have chins
- How effective is the SEMRush SEO tool
- Why do animals vomit their food?
- What if someone fails the ISC exam?
- What is a waterjet cutting service
- Japan is bigger than Iran
- How can I become a powerful prophet?

- The most challenging thing in my life
- What is code forces
- How do you classify a new species
- Why am I always broke
- Which is the best charcoal in the world
- What is UNIQUE at the JK Institute
- Can you decipher the word aps
- What are generalized additive models
- Who is investigating murder in Mexico
- Has the Collatz conjecture been solved?
- Do cats need exercise
- Which shows are similar to Babylon 5
- Can human nerves grow in our body?
- Why do people ignore evacuation orders
- Why are YouTube ads so irritating
- How will I survive middle school?
- What is considered atypical depression
- What are flood planes
- Homeowners insurance covers bird damage
- Where should we upload our résumé
- What are some military sites in Okinawa
- Why did Ukraine not impose martial law?
- What is Google's brand mantra
- What does Guillain-Barre Syndrome do