Results for “is 7 a prime number” · retrieved September 22, 2026
Yes, 7 is a prime number.
A prime number is defined as a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Because 7 meets this criterion—being divisible only by 1 and 7—it is classified as a prime number. It is not a composite number, as it does not have more than two factors.
Answer details
Definition of a prime number
A prime number must have exactly two factors: 1 and the number itself. The only factors of 7 are 1 and 7.
Divisibility of 7
7 cannot be divided evenly by any whole number other than 1 and 7, confirming it is not a composite number.
Sequence position
7 is recognized as the fourth prime number in the sequence of prime numbers.
Sources 8
About this answerIs 7 a Prime Number | Is 7 a Prime or Composite Number?
Is 7 a prime number? How do you know that 7 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 7? Is 7 a prime number? "Yes, 7 is a prime number." Since 7 has only 2 factors i.e. 1 and 7, it is a prime number. Let's study this in detail....- Is 7 a prim
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7 -- from Wolfram MathWorld
7 The second Mersenne prime , which is itself the exponent of Mersenne prime . It gives rise to the perfect number It is a Gaussian prime, but not an Eisenstein prime, since it factors as , where is a primitive cube root of unity. It is the smallest non- Sophie Germain prime. It is also the smallest non- Fermat prime, and as such is the smallest number of faces of a regular polygon (the heptagon) that is not constructible by straightedge and co
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Is 7 a Prime Number | or is 7 a Composite Number?
Is 7 a Prime Number?...Yes, 7 is a prime number. It can only be evenly divided by 1 and itself, leaving no remainder. This means 7 has no divisors other than 1 and 7. Thus, it qualifies as a prime number....To confirm that 7 is indeed a prime number, we need to ensure that 7 cannot be evenly divided by any number other than 1 and itself. Here’s the process:...- Is 7 divisible by 2? No, because 7 is an odd number and can’t be divided by 2.- Is
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Prime Numbers and Composite Numbers
1 that can't be made by multiplying smaller whole numbers...But 7 can't be divided up exactly:...- When a number can be divided up exactly it is a Composite Number- When a number can't be divided up exactly it is a Prime Number...So 6 is Composite, but 7 is Prime...Example: is 7 a Prime Number or Composite Number?...- We can't divide 7 exactly by 2 (we get 2 lots of 3, with one left over)- We can't divide 7 exactly by 3 (we get 3 lots of 2, w
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7prm - Metamath Proof Explorer
| Description: 7 is a prime number. (Contributed by Mario Carneiro, 18-Feb-2014.) (Revised by Mario Carneiro, 20-Apr-2015.) || --- |...| Ref | Expression || --- | --- || 7prm | ⊢ 7 ∈ ℙ |...1 | | 7nn 11067 | ....| 22 | | 7nn0 11191 | . . 3 ⊢ 7 ∈ ℕ 0 |...| 23 | | 7lt10 11551 | . . 3 ⊢ 7 < ; 10 || 24 | 3, 21, 22, 23 | declti 11422 | . 2 ⊢ 7 < ; 25 || 25 | 1, 2, 14, 20, 24 | prmlem1 15652 | 1 ⊢ 7 ∈ ℙ |
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Metamath Proof Explorer
Description: 7 is a prime number. (Contributed by Mario Carneiro, 18-Feb-2014) (Revised by Mario Carneiro, 20-Apr-2015)...| | Ref | Expression || --- | --- | --- || Assertion | 7prm | ⊢ 7 ∈ ℙ |...| Step | Hyp |...| --- | --- | --- | --- || 1 | | 7nn | ⊢ 7 ∈ ℕ || 2 | | 1lt7 | ⊢ 1 < 7 || 3 | | 2nn...⊢ 2 ∈ ℕ |...| 4 | | 3...⊢ 3 ∈...0 |...| 1...| ⊢ 1...| 6 | | 2t3e...2 · 3...6 ||...| 6 | oveq...⊢ ( ( 2 · 3 ) + 1 )...6 + 1 ) |...| 8 | | df-...| ⊢...=
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7 - Number
The number 7 is a prime number. Properties and families...| Property or family | Parameter values | First few numbers | Proof of satisfaction/membership/containment || --- | --- | ---...--- || prime number | fourth prime number | 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, [SHOW MORE] 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211
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What is a prime number?
- A prime number...can only be divided by itself and...25 prime numbers...100...2,...11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,...61, 67, 71,...3,...9, 83, 89, 97....are composite numbers. Composite numbers have more than two factors....5 prime numbers up...The prime numbers list up to 100 is as follows: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. You can figure out what numbers up to 1
October 30, 2023
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