Factors of 7
The factors of 7 are 1 and 7. Since 7 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 8, and its prime factorization is simply 7 itself.
All factors of 7
Here are all 2 factors of 7, listed from smallest to largest.
Factor pairs of 7
There is only one factor pair for 7, because it is prime.
Prime factorization of 7
7 is a prime number, so it cannot be broken down further. Its prime factorization is simply 7.
Properties of 7
| Number of factors | 2 |
|---|---|
| Sum of factors | 8 |
| Sum of proper factors | 1 |
| Prime factorization | 7 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 7 interesting
- 7 is a prime number, so its only factors are 1 and 7. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 7 yourself
Divide 7 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √7 ≈ 2.65, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 7.
Frequently asked questions about 7
What are the factors of 7?
Is 7 a prime number?
What is the prime factorization of 7?
What two numbers multiply to give 7?
What is the sum of the factors of 7?
Is 7 a perfect square?
What is the largest factor of 7 other than itself?
How many factors does 7 have?
Explore more
Try another number in the factor calculator, break 7 down further with the prime factorization calculator, or compare 7 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.