Factors of 697
The factors of 697 are 1, 17, 41, and 697. In total, 697 has 4 factors. Its prime factorization is 17 × 41, and the sum of all its factors is 756.
All factors of 697
Here are all 4 factors of 697, listed from smallest to largest.
Factor pairs of 697
These 2 pairs of whole numbers each multiply to give 697.
Prime factorization of 697
Dividing 697 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 697 are 17, 41. To factorize any other number, use the prime factorization calculator.
Factor tree of 697
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 697
| Number of factors | 4 |
|---|---|
| Sum of factors | 756 |
| Sum of proper factors | 59 |
| Prime factorization | 17 × 41 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 697 interesting
- 697 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 697 is a deficient number: its proper factors sum to 59, which is 638 less than 697 itself.
How to find the factors of 697 yourself
Divide 697 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 √697 ≈ 26.40, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 17, 41, 697. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 697.
Frequently asked questions about 697
What are the factors of 697?
Is 697 a prime number?
What is the prime factorization of 697?
What two numbers multiply to give 697?
What is the sum of the factors of 697?
Is 697 a perfect square?
What is the largest factor of 697 other than itself?
How many factors does 697 have?
Explore more
Try another number in the factor calculator, break 697 down further with the prime factorization calculator, or compare 697 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.